diff --git "a/data/dm_maths/full_data/10622_11255.jsonl" "b/data/dm_maths/full_data/10622_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10622_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let g(r) = -2*r - 3. Let w = -10 + 15. Suppose l + 0 = 2*p + 2, 4*p - 66 = -w*l. Let b be l\/(-3) - (-2)\/(-3). What is g(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -43372?\nAnswer: -1734.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**3\/3 - 7*f**2 + 26*f + 3. What is the lowest common multiple of a(12) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11429972?\nAnswer: 2, 2857493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2 (c) 7573\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1435 + -1005. Suppose 0 = -5*h - 5*k + r, -3*h - 3*k + k = -253. Calculate the highest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 2*v. Let r be k(2). Find the first derivative of 21*t + 0*t - r*t + 18*t - 42 wrt t.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 101 and 8?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 greater than 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -3, 34?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -4 (c) 0.2 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 72. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.061 - -0.161. Let u be 3 - 8\/(-20) - (5 + -1). What is the nearest to u in -2\/7, -4, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4996689 is divided by 2338.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52476573 to the nearest integer?\nAnswer: 7244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 28*l + 128. What is x(-8)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(2\/1))\/1. Let a = 693 - 297. Suppose -204 = -i + f, d*i - f + a = 2*i. What is i rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 11*v - 3. Suppose -29 = -v*o - 2. What is the smallest common multiple of (-48)\/(-120) + 43\/5 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3119413 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76137640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 7 - 1 - 2)*(u + 4*u - 4*u + (3*u - 2*u + 0*u)*(-2 + 7 - 4) + 1 + u - 1 - 58*u - 93*u - 13*u).\nAnswer: -1610*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/40 and 117\/70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1. Let d(w) = -w + 4. Let j(k) = -d(k) + q(k). Determine j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**5\/2 - 1437*q**4\/2 + 91017*q**3 - 1135104*q**2 - 9560256*q + 116259840 = 0. What is q?\nAnswer: -10, 9, 16, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 30. Let j = l + -11. Let v = j - 13. Sort v, -0.4, -3 in decreasing order.\nAnswer: v, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - p = -5*p - 12, -25 = 5*p. Let g be 4\/(-18) + 4\/18. Calculate the remainder when 0 + 0 - (-4 - g) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + 16*k**3 - 10*k**3 + (-2*k**2 + 2*k - 2*k)*(k + 0 + 0) - 4*k**3 + 4*k**3 + k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -249*j - 10781. Let i(h) = 561*h + 21559. Let x(n) = -6*i(n) - 13*p(n). What is the derivative of x(c) wrt c?\nAnswer: -129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 z when four letters picked without replacement from {g: 4, v: 2, z: 10, k: 2, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 10448.\nAnswer: -9\/2612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 - 3 = 0. Let o = 7\/23 + -113\/69. Let u = -50 + 45. What is the closest to h in -0.1, o, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.8*-126495.\nAnswer: -3643056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, d: 5, a: 2, m: 1}. What is prob of sequence qaam?\nAnswer: 11\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3\/2, -2, 5, -4 in descending order.\nAnswer: 5, 3\/2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-940)\/(-2000)*(-1746)\/13677.\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11477.26+-0.5\nAnswer: 11476.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*l - 506, 2*l - l - 165 = -3*d. Let b = l + -100. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11080 divided by -2770?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -0.0583778536387?\nAnswer: 6.9416221463613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/7 - 2825656*h**3\/7 + 2661447710976*h**2\/7 - 835598769098728576*h\/7 + 3342352493412380416\/7.\nAnswer: (h - 941884)**3*(h - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l = 10. Let y be ((48\/(-14))\/(-3))\/l. What is the second biggest value in -1\/2, 2\/7, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14473324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**2 + 2*t**2 + 8*t**2 + 12*t**2.\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(132)*1 - sqrt(132))*-6)\/((sqrt(72)*2)\/sqrt(6)) - 6*(sqrt(132)\/sqrt(3) + -2)).\nAnswer: -12*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + v - 8 = 0, -23*v + 25*v = 5*q - 29 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 10*z**2 - 9*z + 9. Let o be b(9). Suppose -4*t + o = -7. Suppose -t*d + 0*u + 4*u = 84, 16 = -d - 4*u. Round d to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3750\/7, 2\/15, 5, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 248 - 267. Let j = m + 229. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 57?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-4)*-1)\/(2\/4). Suppose w*y + 2 = 17, 0 = -x - 5*y + 36. What is the second derivative of -14*z**2 - 10*z - x*z + 5*z wrt z?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(85) + (sqrt(85) - (sqrt(85)*2 + sqrt(85))*-6))\/(sqrt(80) + sqrt(80) + -3*(sqrt(80) + (sqrt(80) - sqrt(80)*2)) + sqrt(80) + sqrt(80)))**2.\nAnswer: 10625\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4762.062l in millilitres?\nAnswer: 4762062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 + -6 + 168\/8.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*m + 62 = 0, 4*n + 133 = 2*m - m. Let c be (-39)\/(-65) + n\/15. Let v = -0.2 + 1.2. Are c and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t - 8215. Let r(g) = -g**2 - 780*g. Determine r(a(j)).\nAnswer: -9*j**2 + 46950*j - 61078525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-6)\/3)*-3. Let n = 3 - r. Let z be (n + 0)\/(-21 - -18). Solve z = -5*l + 17 + 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (696\/261)\/(9\/4)*(-24)\/32?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(0*m + 3*m - 5*m) - 5*m + 3*m + m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -363*r**3 - 308371437*r**2 - 336404880*r - 91746756.\nAnswer: -3*(r + 849507)*(11*r + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 4522?\nAnswer: 13566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3390 = -3*m - 3*r, -8*r + 3*r = 3*m - 3386. List the prime factors of m.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11967 = 25*h - 11917. Let g(x) = -x**2 + x - 2. Let s be g(0). Let f be s\/(-9) - 38\/9. Put -5, f, h, -1 in descending order.\nAnswer: -1, h, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1385885876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-56)\/168 - 4\/(7728\/7060)).\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -3*k**5\/20 + 3*k**4 - 11*k**3\/2 + 332*k. Factor a(d).\nAnswer: -3*d*(d - 11)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 - 42103100?\nAnswer: -42103010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 7, j: 2, p: 2}. What is prob of sequence fy?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 1. Let x(u) = 4*u - 7. Let q(y) = -3*j(y) - x(y). Let o be q(5). Let b(n) = -n**2 + n. What is b(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 + -126. Suppose 2 = 2*q - 4*q. Which is the closest to -1? (a) u (b) -2\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-1))\/p)**(-24)\/(p**9\/((p*p*p\/p**(3\/8)*p)\/p)))**(1\/17) assuming p is positive.\nAnswer: p**(-243\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 8) to base 7.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -11*d + 12. Sort -4, 4, d in decreasing order.\nAnswer: 4, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17463873 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4313746 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 7 = -15. Let a be 1 - 0 - (-6 + 4). Factor -2*p**3 - h*p**2 - a*p + 1 + 5*p + 4*p**2 - 3.\nAnswer: -2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/9)*y**(-1)*(y\/(y\/y**(-1\/3)))**(2\/65) assuming y is positive.\nAnswer: y**(-721\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 62694.\nAnswer: 125388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-304)\/95*(-5)\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-5)*(-2)\/9*(-1 + 4). Let d = -8 + 4. Put f, d, 3, -1\/4 in increasing order.\nAnswer: d, -1\/4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12201 (base 3) to base 10\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -411226 + -4?\nAnswer: -411232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23755135?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4188095.\nAnswer: 5, 837619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**7\/22680 + z**6\/1620 - z**5\/216 - 11*z**4\/12 + 10*z**2. Let q(s) be the second derivative of r(s). Factor q(j).\nAnswer: (j - 1)*(j + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 10383.2\nAnswer: -20766.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + (1 - -6) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q - 6. Let d be l(-2). Suppose -5 = p + 4*b - 2, 2 = d*p + 2*b. Let m(j) = 61*j + 1. What are the prime factors of m(p)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from {m: 2, z: 1, l: 2, v: 5, o: 1, g: 6}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -104 + 68. Solve -l = -5*l - d + 16, x*l + 4*d - 25 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36521*l**3 + 36516*l**3 - 73044*l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**4\/4 - 4*o**3\/3 + 15*o**2\/2 - 38*o - 182. Is 49 a factor of n(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 7*q**2 - q + 8. Let j be d(7). Let i be j*-1 - 7\/(-8). Let f be 4\/6 - 220\/231. Which is the nearest to -1? (a) 4 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 0, -114, -4883, 13 in decreasing order.\nAnswer: 13, 0, -2, -4, -114, -4883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106180.\nAnswer: 2, 5, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 15*j**2 - 3*j + 9. Calculate x(15).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*l + 36*l - 2*l + 5*l + 3*l**2.\nAnswer: 3*l**2 + 72*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2089688 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwtwtwwwww. Give prob of sequence ttw.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 549*i - 4503. Calculate c(7).\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -243 not equal to 106\/973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1774*i**2 - 44*i - 206. List the prime factors of f(-4).\nAnswer: 2, 14177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -16 - 229. Solve -u = c + 1 - 2, x = -5*c + 5*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 30*m - 77*m**2 + 2.\nAnswer: -77*m**2 - 30*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -14a8?\nAnswer: -14aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -136\/25 or -6?\nAnswer: -136\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11221697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5097?\nAnswer: 3, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72 and -28196.\nAnswer: -2030112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8805354 or 8805356?\nAnswer: 8805356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -1, -3.\nAnswer: -3, -1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2209368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6865143 and 1749?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*q = 10, s + s = -q. Let a(n) be the first derivative of 11*n**4\/4 - n**3\/3 - n**2\/2 + n - 10. Is 5 a factor of a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 21207230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3\/13 + 4070*g**2\/13 - 8134*g\/13 + 4066\/13 = 0.\nAnswer: 1, 2033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*p + 11, -8 = 5*z - 2*p - 11. Let n be (-3 + (-22)\/(-6))*-33. What is the closest to n in 0.1, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, 216, 615, 1184, 1929, 2856, 3971, 5280?\nAnswer: 6789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + (-4)\/(-2))*45. Let j(z) = -4*z**2 - 4*z + 2 + 7*z**2 + 0 + 1. Let h be j(3). Calculate the greatest common factor of f and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/9)\/g)\/g**(-3))\/(g\/(g*(g*g\/g**(-2\/5))\/g*g))**46)\/(((g\/g**(2\/3))\/g)**(-26)*(g**(1\/4))**(-2\/117)) assuming g is positive.\nAnswer: g**(36991\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(300))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -14. Let j(a) = -a - 14. Let d(c) = -2*f(c) + 3*j(c). Calculate the remainder when 45 is divided by d(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1429, 5, -5 in ascending order.\nAnswer: -1429, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 11:53 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233132131 + -3?\nAnswer: 233132123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3716\/(-12) + (-3)\/(-9). Let d = 2123\/6 + q. Calculate the common denominator of 2\/15 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b + 45. Let p be (1 - b) + -1 + -3. Let m = 21 - p. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 15 = 5*w, n + n = 2*w - 10. Let y(s) = w - 2*s + s - 3 + 2. Let o(d) = -10*d - 14. Let g be (21 + -6)*(-4)\/(-5). Determine g*y(c) - o(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 48 = -5*t, 0 = 17*t - 15*t + 3*h - 36. Solve t = -5*j + j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 17*j**3 + 4*j.\nAnswer: -17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 248*m**5 - 212*m**4 + 87722*m**2.\nAnswer: 14880*m**2 - 5088*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.1 - -5. Let c = 5 + r. Let i = -569 + 573. What is the closest to c in 3, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 498.5 + -503.49988. Let o = -259 + 264. Let k = j + o. Round k to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13921.35 - 382962.\nAnswer: -396883.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3419\/2*z**2 + 5157\/2*z**3 - 4732*z - 4394 - 729\/2*z**5 - 243\/2*z**4 = 0.\nAnswer: -13\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: -12327 divided by 3\nAnswer: -4109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000038642 to seven dps.\nAnswer: 0.0000386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 326807 and 8138?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3942, -3918, -3894, -3870, -3846, -3822?\n\"Answer: 24*c - 3966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (-168)\/(-15) + -4 - 4. Which is the second smallest value? (a) l (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10425?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5 less than -46286.746?\nAnswer: -46293.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 + 2*h**2 + 2*h + 15. Let p(l) be the second derivative of -l**4\/12 - l**3\/6 - 677*l. Give 2*p(z) + q(z).\nAnswer: -2*z**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - p - 5. Let o be c(-2). Suppose 3*k - 5*u + 5 - 18 = 0, -k + o*u = -11. Is -3 - (-1614)\/8 - k\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 630760153 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -42090 divided by -138\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 16*k + 41. Let j be w(3). Let f be 0 - (0 - (-4 + j)). Suppose -2*y = y + 3. Put f, 3, y in decreasing order.\nAnswer: 3, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -99*c**2*r*y**2 + 186*c**2 - 2*c*r*y**3 + y**3 wrt r.\nAnswer: -99*c**2*y**2 - 2*c*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 1 + 76 = 0. Suppose -9 = 4*b + y. What is the common denominator of 4\/((-396)\/(-411)) - b\/9 and 1\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**8\/84 + 11*c**4\/24 + 9*c**2. What is the second derivative of k(l) wrt l?\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -85*t - 635*t - 244*t**2 + 96*t**3 - 71 - 4*t**4 - 329 - 24*t**3 = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -1\/945*b**7 + 10*b**2 + 0*b + 0*b**5 + 0 + 0*b**4 - 1\/270*b**6 + 0*b**3. Factor n(v).\nAnswer: -2*v**3*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 275593*g**2 - 275085*g**2 + 0*g**3.\nAnswer: 2*g**3 + 508*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-1\/6)*((d*d*d**(-15)*d)\/d)\/d)**(-37))**(3\/28))**24 assuming d is positive.\nAnswer: d**1221","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/2 (b) -3 (c) 1\/5 (d) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.33 to 0 dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37435 or -455?\nAnswer: -455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-230))\/((-3640)\/5200).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/24 of a minute?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*j - 874, 0 = -s - 3*j + 180 + 56. Suppose -209 = -r - s. Let i(m) = m**3 + 11*m**2 - 13*m - 13. Determine i(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (105\/50 + -2)*123 and -73\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 12, p: 3}. Give prob of picking 2 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 + 0.34. Let p = 5 + -4.7. What is the nearest to -2\/5 in p, -3, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20457 = -1762*p + 17924 - 10189 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2562 divided by 8589.\nAnswer: 122\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19974 + 19959. Let i(q) = -2*q**3 - 30*q**2 + 8. Determine i(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 212, 473, 838, 1307, 1880, 2557?\nAnswer: 3338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 5*i**2 - i + 7. Let z(k) = 2*k**3 + 9*k**2 - 2*k + 13. Let f(j) = 11*l(j) - 6*z(j). Factor f(h).\nAnswer: -(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10111111110111101 (base 2) to base 15\nAnswer: -1e192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 347400 and 81.\nAnswer: 3126600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53 and 8?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 193 - 123. Let y = n + -477. Let j = -273 - y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 359040 and 510?\nAnswer: 359040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-228600)\/1800 - (3 - 137).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/((-69)\/72) - 67588\/(-2745)) + 4\/(-6)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 233765.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.5. Let t be (-1)\/((-21)\/(-6)) - 100\/(-56). Which is the second biggest value? (a) t (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/39)\/(5\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288 - -291)\/(18\/(-15))*((-132)\/(-10) + -2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + 11*t - 5. Suppose 7*v - 5*v = -3*w - 10, -3*w - 4*v - 2 = 0. Calculate x(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 - g + 72. Let b(h) = -h**2 + h - 1. Let z(v) = b(v) + l(v). List the prime factors of z(0).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1420441363\/2786680 + -45\/139334. Let o = 4103\/8 - k. Calculate the common denominator of o and 201\/(-24)*2\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 442 and 1?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 446302361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*b = -92 + 6, -4*h + 128 = -4*b. Suppose 11*o - 16 = 6. Suppose 4*a = o*a + h. What is the greatest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -3\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -151*h**6\/120 + 173*h**3\/6 + 4*h**2. Differentiate c(r) wrt r.\nAnswer: -453*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 3, -12\/1619, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/5 - 2619*i\/5.\nAnswer: -i*(i + 2619)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2*q**2 + 2*q**4)*(2*q + 0*q - 3*q) - 2*q**5 - 3*q**4 + 3*q**4 + 6*q**5 - 17 + 17.\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 38*y**3 - 14*y**3 - 8*y**3 - 9*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + (sqrt(432) - (sqrt(432) - (sqrt(432) - 1*sqrt(432))))*4)\/(sqrt(36)\/sqrt(3)*-2))\/(sqrt(1728)*-2*-6*4).\nAnswer: -sqrt(3)\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-15)*1\/(-2). What is the smallest value in -5, f, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 24 = -p + 33, 5*j = -20. Calculate the highest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -36*v + 40*v. Suppose 6*u = 4*u + v*a + 4, -a + 4 = 2*u. Suppose -u*i + 5*b + 45 = -i, 0 = -i - 2*b + 45. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8611 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -257353*w**5 + 232076*w**2.\nAnswer: -15441180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 83*f - 91*f + 7*f**2 + 0*f**2. Let i(m) = 8*m**2 - 8*m. Let c(y) = -4*h(y) + 3*i(y). Factor c(q).\nAnswer: -4*q*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57826 = -36*y + 192430. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/45)\/((-4)\/(144\/52))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/8)\/(p*p**13))**(3\/25)*p**8\/p**(3\/5)*(p*p**(-4\/3))\/(p*p**(2\/15)*p) assuming p is positive.\nAnswer: p**(1943\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**5\/80 - a**4\/24 - a**3\/24 + a**2\/4 + 23*a. Find f such that x(f) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -538401 and 8.4713.\nAnswer: -538392.5287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -42*z - 630. Let h be a(-18). What is the highest common divisor of 162 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 5, -0.04, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 5*s**4\/48 + 14*s. Factor k(j).\nAnswer: 5*j**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 11:34 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w - 1 - 3*w - 3. Let k be o(0). Let g = -4.6 + 5. Which is the closest to 3? (a) 1 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (4\/8)\/((-3)\/6). Suppose -571 = -3*l - 5*j, 4*l + d*j + 0*j = 763. Is l a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - 547 - 20*j + 19*j - j + 0 + 0 + (6 - 5 - 2)*(4*j - j - j).\nAnswer: -2*j - 547","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2734 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 303.0436242 - 237.04362429. Let x = -66 + o. What is x rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 100 = 3*o. Let w = -15 - -13. Let g be (3\/w)\/(2\/(-36)). Solve -4*r - 5*h - g = 13, -5*h = o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + 78 + -46 + 44?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4 (b) -49 (c) 3\/37 (d) -9\/7 (e) -1 (f) 4 (g) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 2 + 3\/5*h**2 + 1\/10*h**3 - 1\/20*h**4 - 23*h. Factor i(w).\nAnswer: -3*(w - 2)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50057 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 19*p + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, h: 1, p: 2, u: 1, g: 1, r: 2}. What is prob of sequence upvh?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 12*y**2 - 9)*(2 + 8 + 3) + (4 - 2*y - 4)*(-16 + 16 - 2*y) as k*y**2 + s + l*y and give k.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2302084, -2302121, -2302160, -2302201, -2302244, -2302289?\nAnswer: -2302336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4318 divided by 1595?\nAnswer: -4318\/1595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/3 + 460*j\/3 - 592.\nAnswer: -4*(j - 111)*(j - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*c - 8*c - u, 2*u = 0. Let b be c - 0 - -5*2. Let t = b + -5. 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 w(c) = -449*c - 445*c - 444*c - 8 - 476*c + 1783*c. Let i(j) = -21*j - 5. What is -8*i(h) + 5*w(h)?\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9228950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3989, 3987, 3985, 3983?\n\"Answer: -2*h + 3991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1))**(8\/3)\/((x\/x**(-4))\/(x**(-1\/2)*x))*(((x*x*x*x**(6\/5)*x*x)\/x)\/(x*(x*x**5*x*x)\/x))**(-2) assuming x is positive.\nAnswer: x**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05236 + 557.95236. Round z to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -46888*t**3 + 3*t**2 - 3. Suppose 5*k + 2*d = -21, -8*d + 12 = -2*k - 10*d. Let c be b(k). What is c rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from bbbwwb.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85961 is divided by 412?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9617087800 rounded to the nearest one million?\nAnswer: 9617000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -50814390 divided by -107430\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1739*n**3 + 7*n**2 - 14*n - 3296. Let r(m) = 579*m**3 + 2*m**2 - 4*m - 1099. Let g(k) = 7*r(k) - 2*s(k). What is the first derivative of g(a) wrt a?\nAnswer: 1725*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Let t = 2 + n. Let f = 1.02 - 0.02. Sort f, 0.5, t in ascending order.\nAnswer: 0.5, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**4 - 4*a**4 - a**4)*(-4*a + 5*a + a)*(3 + 7 - 4)*(5 + 1 - 4).\nAnswer: -24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.02886 millimeters to meters.\nAnswer: 0.07302886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(2\/6) - 0) + 1. Suppose 0 = -p*r - 18 - 2. What is the units digit of 206\/4*1*(r + 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 21 = 59. Let d(g) = -c*g + 17*g + 8*g. Let n(t) = t**2. Determine n(d(f)).\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 392 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 0, -168, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 25*k**2 + 15*k - 97. What is the hundreds digit of l(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + 2*p + 8 + 1)*(-1 - 5 - 3 - 3 - 2 + 3 + (2 + 3 - 3)*(-2 + 3 + 0)) in the form h*p + a and give a.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -11*g**5\/30 + g**4\/12 - 767*g**3\/6 + 2715*g**2. Find the second derivative of m(j) wrt j.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1971062980 minus 5?\nAnswer: -1971062985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8, -17, -36, -71, -128, -213, -332, -491?\n\"Answer: -r**3 + r**2 - 5*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*sqrt(51)\/sqrt(3)*-2)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38219.\nAnswer: 38219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - j**2 - j - 2. Let y be f(2). Solve -k - 1 + 2 = y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, -2, 0.6, 2.2, -143, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 + -59. Let r = m - 70. Suppose -2*y - r*i = -77 + 21, 5*y - 2*i = 112. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 7 - 6 = -4*q, 3 = -2*q - o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 896 + -882. Let k(l) = 14*l - 5. Let v(s) = -42*s + 14. What is a*k(x) + 5*v(x)?\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 10. Let y be r(7). Suppose -v - 135 = -y*v. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*f - 1448, -5*f = -4*o + 274 + 1536. Let h = f + 645. Is 22 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9*(-4)\/60)\/(-1). Which is the nearest to 1? (a) -0.3 (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 2116*c**2 - 47278*c - 261360.\nAnswer: 2*(c - 1080)*(c + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 + 6*h**4 + h**4 + h**4 + h**4 - 3*h**4 + (h**4 + h**2 - h**2)*(2 + 4 - 4) - h**4 + h**4 + 2*h**4.\nAnswer: 13*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.3 + -18.3. Put -3\/7, -1\/2, v in increasing order.\nAnswer: -1\/2, -3\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*b - 304.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/1)\/12*(-2052)\/171*(-45)\/(-140)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 215*w**2. Let y(t) = -2*t - 9. Calculate y(b(x)).\nAnswer: -430*x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + x + 9 = 0, 3*n - 1577416*x + 81 = -1577446*x for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -268204732 and -3.2.\nAnswer: -268204735.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*i - 19*i - 23*i)*(-6 + 3 + 2) to the form p*i + f and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 4085884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15049 and 7897?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*z - 6742 + 6342 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45290343 is divided by 867?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2755659, -2755676, -2755693, -2755710, -2755727?\nAnswer: -2755744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 - -5 - (16 + -16 + 11 + -21)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 609 + -1. What is the highest common divisor of g and 1748?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -6*v. Suppose y + 3*y - 172 = v. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 397219329*v**2 - 174109456.\nAnswer: 794438658*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 263.527 and 1.089.\nAnswer: 286.980903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -34*v - 17. Suppose -82 = 8*d - 2. What are the prime factors of m(d)?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + c. Let y(p) be the first derivative of p**3\/3 - 5*p**2\/2 + 7. Let m = -324 + 325. Give m*y(u) + 3*s(u).\nAnswer: 3*u**3 + u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -43. Suppose -7 = -y*b + s + 10, -3*s + 3 = 3*b. Find the third derivative of -16*l**6 + 3*l**2 + 0*l**2 - 4*l**6 + 5*l**b wrt l.\nAnswer: -1800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, -17\/107, 1\/3, -0.21, -8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -720143868728.\nAnswer: -720143868727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 3*k - 27, -10*k = y - 14*k + 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -2548.5 and -99.7726.\nAnswer: -2648.2726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65.1 + -65. Put 0.5, d, 3, 9 in increasing order.\nAnswer: d, 0.5, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -48\/7, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 - -111. Calculate the greatest common divisor of v and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 2*f**2 + f + 1. Let q(i) = -4*i**3 - 7*i**2 - i - 3. Let t(h) = -3*o(h) - q(h). What is t(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1223.599 to the nearest 10.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 131138*f**2 - 2149581310*f + 2149712450.\nAnswer: -2*(f - 1)*(f + 32785)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 61. Solve -3*h = 3, -h = -5*u - y*h + 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -802, -3126, -6994, -12406, -19362?\nAnswer: -27862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 - -257. Suppose g + g = 4*f - 18, 5*f = -2*g + 36. Calculate the highest common divisor of f and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(((-308)\/40)\/11)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -64, -109, -156, -205, -256, -309, -364?\n\"Answer: -y**2 - 42*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 286*p - 35. Let v(b) = 12*b**2 + 25*b. Determine z(v(j)).\nAnswer: 3432*j**2 + 7150*j - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 9. Suppose -4*l = 3*a + t, 3*a - 10 + 0 = 2*l. Put l, 5, 0 in decreasing order.\nAnswer: 5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 385517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(4))\/sqrt(2) - -1*sqrt(162)*1.\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 0.1. Let q = 0.3137872 + -0.113788. Let t = y + q. What is t rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-2) + -62)\/1. Suppose -5*w + 12*w = -903. Let m = b - w. Calculate the remainder when m is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - -6. Suppose -7*u + v = 4. List the prime factors of 54\/(u - 6\/4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-eight thirds of a hour?\nAnswer: 1360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 52896 divided by 6612\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 70*p + 568. Let l(k) = -16*k - 127. Let x(c) = -5*b(c) - 22*l(c). Let g(r) = -r - r - r + 0. Calculate x(g(m)).\nAnswer: -6*m - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -17. Which is the closest to -57? (a) 0.43 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, q: 4, e: 3, c: 2, z: 2}. What is prob of sequence cqc?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 37*s - 380. What is j(-7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*k - 12. Suppose 0 = -14*p + k*p + 120. Let u be (2 - 5)\/(18\/p). Solve 5 = u*v - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 2*d**2 - d. Let i(c) = -4*c + 5*c + 0*c**2 - c**2 + 4*c**3 - 3*c**3. Give -2*i(b) - u(b).\nAnswer: -4*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4252430 (base 6) in base 13?\nAnswer: 74322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -521, 76092 in decreasing order.\nAnswer: 76092, -0.4, -521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/9)\/(-2))\/((-189)\/(-252) - (-1652)\/(-2160))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 1\/27, 1\/6, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**1\/t))**(-2\/67)\/((t*t**(-2\/7))\/t*t*t**(-2\/17)) assuming t is positive.\nAnswer: t**(-71\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7372721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 4\/3*g**3 + 0*g**2 - 5\/4*g**4 - 5 + 6*g. Let m(z) = 6*z**3 - 5*z**2 - 7. Let i = 94 + -88. What is i*m(n) + 7*d(n)?\nAnswer: n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -28 + (-25)\/(-5)*1 + -4. Let m be (4\/6)\/((-4)\/6). Let g = m - c. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -616, -2032, -4762, -9238, -15892, -25156?\nAnswer: -37462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18506895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1371653 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 5, -158, -5 in decreasing order.\nAnswer: 5, 3, -4, -5, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*g + 173*g**2 - 14*g - 2*g as m*g + s + y*g**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 32 = -y - 8*z, -y + 32 = z. Suppose -y = -11*t + 3*t. Solve t + 11 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 304 = -29*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234727 (base 11) to base 14.\nAnswer: 99917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4*w = 205 - 325 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*k + 1079 - 1043 = 0, -2*k = -5*s + 18. Let u(b) = 8*b**3 + 9*b**2 - 6*b + 6. Let v(f) = f**3 + f**2 - f + 1. Determine s*v(l) - u(l).\nAnswer: -2*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2596949616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/5, 0.4, -2, -0.02?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -714, -725, -734, -735, -722, -689, -630?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 6*o - 96. Solve 3*s + 3*p = 5*s - o, p = -4*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84 + 39*t - 3\/2*t**2.\nAnswer: -3*(t - 28)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5}. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(4\/7)*n)*n*n*n\/(n**(-5\/4)\/n))\/(n\/(n\/(n**(-1\/2)*n))*n)**(-8\/15) assuming n is positive.\nAnswer: n**(907\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czc when three letters picked without replacement from zzzcc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1861590*t**2. Let x(z) = 76*z. Determine s(x(w)).\nAnswer: 10752543840*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.7 times -1?\nAnswer: 78.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 10. Let p be l(9). Let h = -4 + 2. Which is the nearest to h? (a) 0.3 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51931, 105134, 158337, 211540, 264743, 317946?\nAnswer: 371149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 40.11. What is q rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 13*q**2 - 142*q - 41. Is n(17) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 612*m + 76. Let b be y(18). Suppose 10*a = b + 103018. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 23\/8 of a tonne?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 16 = 2*r + 2, 0 = -3*b + 4*r - 8. Let q(f) = 2*f - 2*f**3 + 21*f**2 - 24*f**2 - 4 + 2 + f**3. Calculate q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/((-2)\/8). Let y(g) be the second derivative of 2*g**3\/3 - 6*g**2 - 6*g. Let w be y(6). Solve 5*s + w - j = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 3946800*j**2 - 973462422708*j + 56474098332712.\nAnswer: -4*(j - 58)*(j + 493379)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 663.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3*h - 6*h)*(1 - 3 + 3) + (-2 - 1 + 1)*(2 - 2*h - 2) + 3 - 3 - h + (-1 - 5 + 4)*(-3*h + 3*h + 2*h) + 2*h + 1 - 1.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95401 is divided by 31797?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 6*r + 4. Let o be (-8)\/(-5) + 4\/10. Let h be 14\/o*1*-1. What is the tens digit of i(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 325? (a) 0 (b) 14 (c) 0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1531219614 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -w - 1. Suppose -15 = -5*d - 3*r, w*d - 3*d + 3*r - 15 = 0. Let x = d + 1. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + (-6*(sqrt(1872) + -1)*6 - (1 + (sqrt(1872) - sqrt(1872)*2))*1) + 5)**2.\nAnswer: -37800*sqrt(13) + 2295227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -80048.6*292\nAnswer: -23374191.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76664.64mg in micrograms?\nAnswer: 76664640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3555?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4115*t**2*v**2 - 3*t**2*v - 3*t*v**3 + 2063*t*v wrt v.\nAnswer: 8230*t**2 - 18*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:36 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3044734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2130\/142)\/(18\/(-4)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -155, 2\/13, 5, 2\/7, 0.05?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/((-791)\/2034)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*v**2 - 16*v**2 + 30*v**2.\nAnswer: 58*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 19*d + 68. Give u(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 277988 and -195.\nAnswer: 277793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.85 rounded to 1 decimal place?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**3 - 3*z**3 + 30*z**2 - 55626 + 4*z**3 - z**4 + 55626.\nAnswer: -z**2*(z - 3)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/(u\/u**(1\/3)))\/(u**(-5)\/(u**1\/u)) assuming u is positive.\nAnswer: u**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3724\/(-49)*(-6)\/(-12).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 - 3*f + 2. Determine v(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -33676 at least 114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 3*a + 9, 3*a + 9 = 4*c - 0*a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 9. Let g(y) = y + 5. What is 10*g(b) - 6*u(b)?\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r + 7. Let x be v(1). Suppose -104 = -x*w + w. What is the remainder when w is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12511.48 micrometers to meters.\nAnswer: 0.01251148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7 + i**4 + 77*i**5 - 1 + i**4 - 4*i**5 + 8*i**5 + 2*i wrt i.\nAnswer: 1620*i**3 + 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9696 - 9696.2082. Round i to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*y**4 + 6*y + 2*y**4 + 0*y wrt y.\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0331? (a) -4 (b) -6 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*s = 14, -q + 2*s - s + 5 = 0. Let z = q + 1. Find the first derivative of 0*a + z - 4*a + 0*a + 5*a wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66 + 165 - 50)*(3*t**4 + t**4 - 2*t**4 + (0*t + t + 0*t)*(-7*t**3 + 4*t**3 + 8*t**3)) to h*t**2 + v*t**3 + c*t + u + g*t**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from lyylalyylyllallyl.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/10)\/((-9)\/(-12)). Let y be (-3)\/6*1*k. List the prime factors of (4\/8 + y)*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*c - 115 - 105. Solve 3*o - 6 = 3*n, 4*o + c = 2*o - 2*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -504?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-22))\/(12\/136)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/((1*sqrt(108))\/sqrt(9)))\/((sqrt(63) - sqrt(63)*-1)\/sqrt(9)*5).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99 - -953. Let u = r + -346. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -1. Suppose l*z = -36 + 138. What is the remainder when z is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x, -10*p + 5*p - 3*x + 2*x + 14100 = 0. What is the greatest common factor of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 2 + 2. Let h(a) be the second derivative of 12 + 0*a**2 + 0*a**3 + 3\/4*a**4 - a. Calculate h(n(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -111 + (59 - -59) + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2413?\nAnswer: 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f. Let z(k) = -8*k - 1. Let j(a) = -5*y(a) - 6*z(a). Let b be 2 + -1*(0 - -7). Give j(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1491*(9 + -3)*(255\/10)\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -559241402*h**4 - 19*h**2 + 2*h - 619139 wrt h.\nAnswer: -13421793648*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -3 + -13)*7. Let t = -93 - g. Suppose -r = -5*u + 4*u + 87, -t*u + 429 = -2*r. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/7*1\/(-5))\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3325722?\nAnswer: 2, 3, 19, 29173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -217*w**2. Let z(o) = o**2. Give h(z(b)).\nAnswer: -217*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-408)\/(-15) - 3\/15 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30465.2 + -3763\nAnswer: -34228.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707.2024mm to centimeters.\nAnswer: 70.72024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) -181 (c) 0.08 (d) 0.013\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 42 = 2*f, 2*a - 70 = 3*f - 23. Solve -5*h - a = -32 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 8*r**2 + 5*r - 7. Let w be s(-7). Let p(h) = -6*h + 11 + w*h**2 - 2*h**3 + 3*h**3 - 1. Let q be p(-8). Which is greater: -7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**13\/(t\/(t*t**(-1\/9)*t)*t) assuming t is positive.\nAnswer: t**(116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(2) - (sqrt(2) - sqrt(2)*-1)) + -3)*1.\nAnswer: -8 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4047954.\nAnswer: 2, 3, 23, 29333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 7) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from fyyyfffyyfyfyf.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**6\/30 + 34*u**3\/3 + 37*u**2\/2 + 3*u + 3. Differentiate h(l) with respect to l.\nAnswer: -4*l**3 + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 7*d = -5*r + 4, 3*r - 12 = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**4 - 276*l**3 - 5166*l**2 + 38772*l - 62127 = 0.\nAnswer: -59, -39, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 2*l = -84. Let z be 8\/(-4 - -8)*l\/(-7). Let f(b) = 4*b**2 + 10. Let p(u) = u**2 + 3. Determine z*f(k) + 7*p(k).\nAnswer: -k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2268 * 0.74.\nAnswer: -0.167832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**2*s + 452*r**2 + 81*r*s**3 - 2*r wrt s.\nAnswer: -2*r**2 + 243*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571 + 3*m + 14*m**2 + 41*m**2 - 571.\nAnswer: 55*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 56*i + 19.\nAnswer: -(i - 19)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 620076719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 87920 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 4*c + 1. Let l be s(-4). Let i(d) = 2 + 3*d**2 - 3 - l + 1. Calculate the lowest common multiple of i(-1) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2998 is divided by 2212.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1423 or -1554?\nAnswer: -1423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**3 - 5*c**2 + 62*c + 6. Let m(f) = -7*f**3 - 9*f**2 + 123*f + 11. Determine 6*m(j) - 11*q(j).\nAnswer: 2*j**3 + j**2 + 56*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shs when three letters picked without replacement from {o: 2, h: 2, s: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = 2*r - 5*l, 11*r = 8*r + 3*l + 447. Suppose r = 4*o + 2*d - 39, -125 = -2*o + 5*d. Is o > 248\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*w**3 + 124*w**2 + 120*w**2 - 348*w**2 + 104*w**2.\nAnswer: -492*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 236 + -238.72. Let a = 2.7200041 + o. Round a to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5633*d - 5 + 4 - 5626*d + 6.\nAnswer: 7*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4105726 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 466683469 to the power of 1\/2, to the nearest integer?\nAnswer: 21603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12171506 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 is prob of sequence mm when two letters picked without replacement from aaammmaaaaamaa?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38811532?\nAnswer: 2, 9702883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 802*p**3 - 5449*p**3 + 199*p**3 + 25 - 25.\nAnswer: -4448*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 24 - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10\/347 - -23149\/3470. What is the common denominator of h and -19\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/6 + ((-21)\/18)\/(-7). Suppose -2*v - 1 + 27 = k. Calculate the greatest common factor of 13 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224\/48*2*63\/(-28)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*b + 200*d - 204*d + 18 = 3*b, -2*b + 30 = 2*b + 5*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2463448261+-4.2\nAnswer: 2463448256.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41402030112 + 2?\nAnswer: -41402030110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 5*l**2 + 4*l + 7. Let h be x(6). Let v = 7 + h. Solve 0 = 6*r - v*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 + 0*o**3 - 2*o**3 - o**3 + o - o + (-2*o**2 - 2*o**2 + 2*o**2)*(2*o - o + 0*o) + 0*o**3 + 5*o**3 + 3*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 177\/(-21)*(24\/(-72) - (-43)\/126) and -23\/9.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -6 - -329) + -1. Let x = -198 + b. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 8*s + 6. Let b be d(7). Which is bigger: 2\/13 or b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -697, -2781, -6245, -11089, -17313?\n\"Answer: -690*x**2 - 14*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 30894, -3, -4 in decreasing order.\nAnswer: 30894, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 3:24 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-100)*4)\/(212\/2650).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (51\/48 - 1)\/((-3492)\/(-96) + -36). Factor 1\/2*j - h*j**2 + 2\/3.\nAnswer: -(j - 4)*(j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2788 = 24*h - 92*h. Calculate the remainder when h is divided by (-1)\/(-4) - (-46)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/4 + 9\/6. Let b be 7 + (-4 - (j - -1)). Solve 10*n = b*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011120303 (base 5) to base 13.\nAnswer: 20748b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-15))\/((-5)\/((-30)\/28))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2057 + -2015. What is the least common multiple of h and 98?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 532\/(-76) + (-1)\/1 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 16*o**3 - 124*o**2 - 3*o - 68. What is the remainder when q(8) is divided by 119?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 5. Let j be c(-5). Let t(h) be the first derivative of 3*h + j*h**2 - 1 - 2\/3*h**3. Find the first derivative of t(n) wrt n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27111 * -1159.9\nAnswer: -31446048.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 313 or -134672?\nAnswer: -134672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 3*w + 40 = -12 - 12, 25*u - 23*u + 18 = -w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 - -89.52. Round d to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6523 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 - (-6 + 12) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*r - 11240 = 52*r + 7518 for r.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -33*a - 1325. Determine j(-40).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83748 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -191 from -369900951.46.\nAnswer: -369900760.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/3)\/u)**(-1\/30))**16*(u\/(u\/(u\/((u*u**(1\/3))\/u)*u)))**34\/((u\/(u\/(u\/(u**(-2)*u)))*u)\/((u\/(u*u**(3\/8)*u*u))\/u)) assuming u is positive.\nAnswer: u**(17977\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 + 190*c**2 + 761*c + 2998. Determine h(-91).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*l + 45 = l, -3*d + 35 = l. Let k(m) = -m**2 + 12*m + 3. Suppose b + 3*b = 24. What is the remainder when k(d) is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 23*d + 15. Calculate x(-5).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1015283*v + 110 = -1015284*v + 2*j, 4*v - 9*j = -496 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -192238, -192237, -192236, -192235, -192234?\n\"Answer: x - 192239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d - 10 = -3*m, -2*m + 10 = -2*d. Sort 4, d, -2 in descending order.\nAnswer: 4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*n**2 - 2*n - 4*n**5 - 37*n**2 + 0*n**5 + n**5 + n**5 + 2*n**5 + 0*n + 0*n + (-6*n**2 + 4*n**2 + 4*n**2)*(2 + n**3 - 2).\nAnswer: 2*n**5 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 1. Let o = -6 + 5. Let m be r(o). Suppose m = -2*h - h - 29700000. Round h to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 19 (b) 0.6 (c) 11 (d) 4 (e) 0.153\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -50674507472 less than -0.244?\nAnswer: 50674507471.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 13*p - 13. Let c(f) = f - 1. Let g(l) = -12*l + 12. Let j(a) = 3*c(a) + g(a). Let r be ((-288)\/54)\/16 - 28\/6. What is r*x(i) - 7*j(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 402, 0.3, -4, -2 in increasing order.\nAnswer: -4, -2, 0.3, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5975.358 months?\nAnswer: 497.9465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, n: 15}. What is prob of picking 1 m and 3 n?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 + -7. Let k = 0.6 - t. Which is the smallest value? (a) -0.1 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3559*g**3 + 1755*g**3 + 1797*g**3.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 20*b - 6*b - 18*b + 97. Let d be a(22). Suppose 0 = -d*y - 2*y + 935. Calculate the highest common divisor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c. Let l(f) = -23*f**2. Determine l(u(h)).\nAnswer: -368*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100021012 (base 3) in base 15?\nAnswer: -d9eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-87)*18\/12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9458?\nAnswer: 2, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -719 or -720?\nAnswer: -720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 6a?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-432)\/32 - (5 - 6 - -1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7*c = 16. Let o be (52\/c)\/((-2)\/4). Round o to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 + (3 - (3 - -3))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8300 and 200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46926135 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m. Let l(j) = -44 + 44 + 13*j. What is r(l(c))?\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1492\/23 < -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 149749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 9. Suppose v*d - 2*d = -10. Suppose 6*k + 5*n = k - d, -4*k - 5*n - 7 = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, t: 6}. Give prob of picking 1 t and 1 p.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 63207.3 (b) -2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5885326 + -24?\nAnswer: 5885302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56489*b**2*w**2 + 2*b**2*w - 8*b**2 + 188*b*w - 2*b + 46*w wrt w?\nAnswer: 112978*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 598 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by 84.\nAnswer: 65\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (9 - 22) - (-3 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13077.567ms?\nAnswer: 0.21795945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k - 3*k**2 + 519*k**4 + 4 - 497*k**4 - 4 to b*k**3 + i*k**2 + o*k**4 + m + t*k and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111 - -2033?\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (726 - 1150 - 1288)*(-6*z + 4*z + z) to the form o*z + i and give o.\nAnswer: 1712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -1\/4, -11, 4419, 178 in descending order.\nAnswer: 4419, 178, -1\/4, -0.6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + p**4 + (-p - 4*p + 2*p)*(-11*p**3 - 721*p**2 + 35 + 1439*p**2 - 719*p**2) to o*p**4 + g*p**2 + d*p + f + v*p**3 and give d.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(5\/4)\/s)\/((s\/((s\/s**(1\/7))\/s*s))\/s*s)*s**6*s*s**(-6))\/(((s**(-3)\/s)\/s**(-6))\/(s**(2\/7))**41) assuming s is positive.\nAnswer: s**(303\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*-2 - (13 + -940019). What is r rounded to the nearest 10000?\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 65.06. Let t = o - -0.06. Let v = -94 + 93. Sort v, t, 2\/9 in decreasing order.\nAnswer: t, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-576)\/90)\/(4\/10))\/(-1 + -5)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, -1833\/7, 0.006 in increasing order.\nAnswer: -1833\/7, -3, 0.006, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 + 191 + 2*c**2 - 351.\nAnswer: 2*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 75 (base 8) to base 7\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.96909 - 0.03091. Put -0.1, -2\/5, -5, z in ascending order.\nAnswer: z, -5, -2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2185797723*h**3 - 2185797713*h**3 - 17 + 4.\nAnswer: 10*h**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41, -69, -109, -155, -201, -241, -269, -279?\n\"Answer: j**3 - 12*j**2 + j - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 3*f - f)*(-2 + f**4 + 2) + (-5*f**2 + 5*f**2 + f**5)*(-2 - 1 + 0).\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -30*m - 4. Let g(w) = -28*w - 5. Calculate -5*g(a) + 6*y(a).\nAnswer: -40*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-2)*15\/18*48\/60?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18.744 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-12) + -2 - 5\/2. What is the units digit of 3\/(f\/107*-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51, -42, -13, 48, 153, 314, 543?\n\"Answer: 2*l**3 - 2*l**2 + l - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 4527824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 6. Calculate d(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264984.\nAnswer: 2, 3, 61, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -41, -58, -75, -92, -109?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 145832 and 2488.\nAnswer: 45353752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 2*k + 8 - k + 0*k + 2*k - 3 + 3 + 2*k + (5 - 5 - 1)*(-4*k + 2*k + k))*(-2 - 1 + 1)*(0*k + 3*k + 2*k) to the form t*k + q*k**2 + l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 201\nAnswer: -16\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 times 23?\nAnswer: 36.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 - 24*a - 17. Determine l(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*r = 14*r - 27*r - 49552. Are -651 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 4 (c) 39427492 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1252 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**3\/7 + 640*a**2\/7 + 25600*a\/7 = 0 for a.\nAnswer: -80, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j**(1\/8)*((j**(-8)\/j)\/j)\/j**(1\/11))\/(j\/j**(-1\/20)*j*j*j**(-7)*j*j)**40 assuming j is positive.\nAnswer: j**(6053\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + -6bc?\nAnswer: -6aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 b when three letters picked without replacement from {b: 9, c: 4, z: 3}?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 18\/3005?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.5 + 9. Let a = -1.2 + y. Put 1\/2, -0.5, a in ascending order.\nAnswer: -0.5, a, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2981 + 4876. Is 27 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02837 or -7526?\nAnswer: -7526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -81, -3 in ascending order.\nAnswer: -81, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -8?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17614111169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 5 - 9 - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 5*p**2 + 4*p + 1. Let y be ((-2)\/2 - -1) + -1. Let x be 42\/9 + y\/(-3). Is t(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5493*i - 6 - 6 = -5496*i. Let r(t) = -11*t**2 - 21*t - 7. Let n(b) = 5*b**2 + 10*b + 3. Determine i*r(u) + 9*n(u).\nAnswer: u**2 + 6*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*a + 2 + (0 + 0 - 1)*(2*a - 5 + 5) - 6 + 6 - 12*a to i*a + r and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51876 is divided by 4321.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - j + 3)*(-1021*j**3 - 24854126*j + 24854126*j + 26*j**2).\nAnswer: 1021*j**4 - 26*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by (-316)\/(-8) + 6\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, -4741, 3\/173, -6 in increasing order.\nAnswer: -4741, -6, 3\/173, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 6*t**2 - 71*t + 188. Give m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.694 + 0.094. What is the closest to 0 in j, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -34*v - 6. Let u be b(-4). Suppose 13*h = 14*h - u. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 12*m + 16 in the form r*m + i and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -17. Suppose 4*q - 6*q + 308 = s. Let l(j) = 16*j - 3. What is the remainder when q is divided by l(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -101. Suppose 3*j = -3*j + d. Are j and 12\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykscyxx. Give prob of sequence cy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence potp when four letters picked without replacement from {t: 2, p: 7, o: 3}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2126 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 -1.866941898 rounded to 1 dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**5 - 20*k**3 - 153*k**2.\nAnswer: 60*k**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -111 and 1.7391.\nAnswer: -193.0401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 4\/(-4) + 81 + -5. Suppose 3*l + 55 = 2*t + 133, 3*l = 4*t + w. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.39768ns to milliseconds.\nAnswer: 0.00002639768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 54 (c) -4265 (d) -0.1 (e) -37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 135\/(-25))*(-4)\/(-16). Which is the smallest value? (a) -0.05 (b) k (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(132) - sqrt(132))\/(sqrt(432) + 2*sqrt(432)).\nAnswer: -7*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 687\/7 - 98. Let y = 88 - 88. Suppose 6 = 2*s - 4*s. What is the smallest value in d, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -382, -730, -1074, -1414, -1750, -2082?\nAnswer: -2410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12887260 is divided by 1352?\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1. Let w(h) = 2*h**3 + 2*h**2 + 7. Suppose 9*l = l - 48. What is l*y(c) - w(c)?\nAnswer: -2*c**3 - 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -221 + 198. Let j = 72 - 48.3. Let h = n + j. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -7\/48*u**4 - 1\/4*u**3 - 1\/24*u**5 + 0*u - 3*u**2 - 4 - 1\/240*u**6. Let z(m) be the second derivative of q(m). Factor z(h).\nAnswer: -(h + 1)**2*(h + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*m**2 - 2295*m - 573.\nAnswer: -3*(m + 191)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 10 = -4*a, -6 = 2*f + 4*a - 6*a. Suppose 0 = -f*k - 3*r + 271, -8*r = -5*k - 5*r + 688. Let g = -77 + k. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + sqrt(704) + sqrt(704) + -2)*2 + -5.\nAnswer: -9 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 - 2*r**4 + 0*r**4)*(1 + 2 + 0)*(5 - 3 - 4)*(-5 - 1 - 6 - 3 + 4 + 1 + (0 - 4 + 2)*(-1 + 2 + 1) - 2 + 4 - 1).\nAnswer: -78*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96933 by -79.\nAnswer: -1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-159)\/53)\/((-2)\/4*-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.065 * -0.5.\nAnswer: 0.0325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -9. Suppose -5*p - 2*v - 101 = 0, 0 = 5*p + v + 31 + 72. Calculate the remainder when p\/14*76\/(-6) is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -865 + 860. What is the second biggest value in 1\/3, -0.3, -11\/7, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 - (112 + -129).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 273 and 1911.\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.08, -0.0441, -3.2, 3\/7?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6534024 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -19\/562287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 2 + 4*h**2 - 17*h - 5 + 50*h in the form y + g*h**2 + m*h and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 3*x - 2*x + (-2 + 2 + 3)*(-18 - 9*x + 18).\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*b - 4*b = 60, -5*n = 2*b - 47. Suppose 3*m - n*m = -144. Let v be 94\/m + -5 + 0. What is the closest to -2 in -1\/6, v, 0.03?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -r - 313, 0*r = 4*r - 5*o + 1252. Let l = r - -221. Let y be 3*2\/(24\/l). Is y at most -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**3 + 66*a**2 + 18*a + 12. What is i(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4383, -4383, -4379, -4365, -4335, -4283, -4203, -4089?\n\"Answer: s**3 - 4*s**2 + 5*s - 4385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36689 - -119388. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 2*w**5\/55 - 4*w**3\/33 + 2*w\/11 - 89. Factor s(r).\nAnswer: 2*(r - 1)**2*(r + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*3*(-2 - -3). Let b be (-2)\/(-10)*2*(-420)\/84. Sort m, b, -1.\nAnswer: m, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38 + -5454?\nAnswer: -5492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 652 a factor of 6450323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d - 3*d)*(-1 - 3 + 3)*(d + d - 3*d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a - 15. Let y(h) = h**2 + 39*h + 136. Let v be y(-35). Sort 109, v, a in decreasing order.\nAnswer: 109, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -198*h. Let s(o) = 82*o + 1. Calculate s(w(j)).\nAnswer: -16236*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64137?\nAnswer: 3, 21379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102783, 109763, 116743, 123723, 130703, 137683?\nAnswer: 144663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3. Let w = 14063\/300 + -189\/4. Let i = -1\/25 - w. Is i bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 261 - 62. Suppose b - v = 8. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(70)\/sqrt(2) + sqrt(35)) + sqrt(35))\/sqrt(5).\nAnswer: -11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d - 8. Calculate p(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*g**2 + 36*g**2 - 18*g**2)*(1 - 1 - g**2 - 18*g).\nAnswer: 11*g**4 + 198*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19648259 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.045 + -5.04005349286.\nAnswer: -5.08505349286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*r + 3*t - 336, -t + 1020 = 5*r. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78 (base 10) to base 14.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5274*y - 38085 + 38085 in the form o + q*y and give q.\nAnswer: 5274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7)*z**(4\/13))\/((z\/z**(-10\/7))\/z**0))**(2\/83) assuming z is positive.\nAnswer: z**(-20\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1576951 + 2261.\nAnswer: -1574690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47070243 rounded to the nearest one hundred thousand?\nAnswer: 47100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5\/3 + 2260*b**4\/3 + 37472*b**3\/3 - 137548*b**2 - 309558*b - 160272 = 0.\nAnswer: -1113, -24, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -215\/7 + 1030\/21. Let m = h - 599\/33. What is r in 0*r + 0 - m*r**3 - 2\/11*r**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80386 is divided by 339.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31181959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/((-1)\/(-6)). Suppose q - a + 4 = 0, 2*q + 511*a - 507*a - 16 = 0. Solve -2*v - j*v - 5*x + 15 = q, 5*x = -3*v + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0.34. Round b to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 1. Let r(x) = 3. Let j(u) = -3*i(u) + r(u). Let f = -103 + 108. Let s(z) = 4*z + f*z + 4*z - 10*z. Give s(j(w)).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41 + bd30?\nAnswer: bccd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/11*(-13)\/(-13).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1519, 6075, 13749, 24607, 38715, 56139?\nAnswer: 76945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160678049 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 + w - 1. Let k(z) = -27*z**2 + z + 5. Let f(r) = 2*r**2 - r. Let a(t) = 5*f(t) + k(t). Give 2*a(s) + 9*d(s).\nAnswer: 2*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/8, 0.7, 0.03, -2, 2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 20 - (28 + (-25 - -5)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19591 and 450593?\nAnswer: 450593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from rrrhehrrrhh.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 148918630 rounded to the nearest 100000?\nAnswer: 148900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**2 + 21*n + 8. What are the prime factors of u(-19)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/((-50)\/6)*195 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.161 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 1, 2, 5, -86, 710?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v + v + v + (-4 + v + 4)*(-5 + 2 + 1) + 2*v + 0*v + 0*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4931434*p - p**2 - 4931434*p. Let h(d) = 17*d**2 - 39. What is h(q(g))?\nAnswer: 17*g**4 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19752507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -38068 divided by 5\nAnswer: -38068\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126 (base 9) to base 2.\nAnswer: -1101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -435 + 469 - (-2 + 89 + 8)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 857765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 s when two letters picked without replacement from lbilllslbsgsll?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 11:17 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/17810625 and -6\/51625?\nAnswer: 17810625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 3 - -1)*(0 + 5). Sort 8, 4, -4, x in descending order.\nAnswer: 8, 4, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2465, 5009, 7559, 10115, 12677, 15245, 17819?\n\"Answer: 3*z**2 + 2535*z - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001966979 to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*j + 318 = -812. Let f(d) = d**2 - 10*d + 14. Give f(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 7 + 68 = v, -2*v + 5*y + 150 = 0. Suppose -4*z = 5*p + 198, -p - v = p + 3*z. Let m = 72 + p. Calculate the greatest common factor of 20 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 18*b**2 - 3*b - 1. Suppose 3*k - 3*x + 4 = 1, k - 4*x = 2. Is c(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-110)\/(-15) + 1 - 5. Factor -2\/3 + 2*p**3 - 14\/3*p**2 + r*p.\nAnswer: 2*(p - 1)**2*(3*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-5\/3)*g**(-10)*(g**1)**(-1\/45) assuming g is positive.\nAnswer: g**(-481\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3453586 is divided by 690712.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 12*w. Let s(x) = -x**2. What is h(s(k))?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - l + 4*a - 7, -3*a = 6. Suppose l*s = 450 + 165. Let k = s + -79. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.12.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -122, -175, -312, -575, -1006, -1647?\n\"Answer: -7*z**3 - 4*z - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/((-60)\/120).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19 and 1.43.\nAnswer: 20.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 26 = 2*s, 0 = -4*j + 7*s - 4*s + 7. What is the nearest to 2 in 0.5, -10, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o + 2*o)*(o - 3*o + 0*o) - 3*o + 2*o + 2*o**3 + 4*o + 6*o**2.\nAnswer: -2*o**3 + 6*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4188 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3662 + 4?\nAnswer: -3656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 - 1)*(-5*v**2 + 12*v**2 - 9*v**2) + (0 - 2 + 1)*(-v**2 - 2 + 2) - 2 + 2 - 2*v**2.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 + 5 = 0. Suppose -a*b = -4*b. Suppose d + 4*d - 365 = b. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16864 + -10499. What are the prime factors of x?\nAnswer: 5, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 9:54 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0*u**4 + 0*u**3 + 26*u - 1\/5*u**6 + 21\/2*u**2 + 0 + 0*u**5. Find the first derivative of o(p) wrt p.\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23873513?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 - 27. Let t = -36 + s. Sort -1\/3, t, -2\/3 in increasing order.\nAnswer: t, -2\/3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 222318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*v**2 - 3*v - 227 + 986 - 249 - 247 - 227 to the form h*v**2 + k*v + d and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 a when two letters picked without replacement from {g: 2, n: 6, a: 4}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -29520 and -29570 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*s + 130. Let h = 30 + s. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 327112993*o**3 + 215*o**2 + 78*o - 145.\nAnswer: 1962677958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 12*j**2 + 6*j + 4. Let g = -36 + 25. Is b(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = 4. Let m(v) = -5*v + 14. Let r be m(s). Let b = -32 + r. Solve -2*y + 15 = -5*o, 5*y - b*o - 6 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 8*k**2 + k - 6. Let q(z) = z**2 - 1. Let r(d) = -6*q(d) + x(d). Find t such that r(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**2 + 10*v + 18. Let l be w(0). Solve -2*y - l + 0 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 25073*u + 175507. Give o(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 8:51 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(-2)\/(f**(-3)*f**(-1)*f) assuming f is positive.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**4*t + 9*b**4 + 1671*b**3*t + 3*b**3 + 21*b**2*t - 2167*b**2 - 3*b*t - 2*t wrt b?\nAnswer: -48*b*t + 216*b + 10026*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9*q - 126. Let w be p(14). Is w greater than or equal to -0.19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -1869. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 7 - 21) + -4 + 4 + 0?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45114)\/15038)\/(1\/(-24)*2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4462?\nAnswer: 4462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 5. Suppose 2*o - o + 6 = 0. Let x(p) = p - 2. Let i(q) = o*c(q) - 13*x(q). Find the first derivative of i(w) wrt w.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -7*f**5\/20 - f**4\/6 - f**3\/6 + f. Let x(w) = -64*w + 2518. What is the lowest common multiple of r(-1) and x(39)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -27 - ((1 - 4) + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 147\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:55 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-11)\/44)\/((-4)\/28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255861 divided by -548.\nAnswer: 255861\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (587\/4)\/((-1)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -2.73054\nAnswer: 0.1638324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359 = -4*w - 2*i - 375, -4*i + 4 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*u**3 + 323*u**2 - 160*u**2 - 164*u**2 - 1 - 60*u**3 as b*u**3 + l*u + r*u**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 11010001111101101010?\nAnswer: 11010001111101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 183 + -323. Let r = c - -53. Let t = r - -86.7. Sort -4, t, 37, 0.5 in descending order.\nAnswer: 37, 0.5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103122010111 (base 4) in base 13?\nAnswer: 109187b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let t(r) = 3*r + 14. Let x(b) = -10*b - 38. Let q(n) = 11*t(n) + 4*x(n). Give q(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-139*s + 1 + 195*s - 661*s)*(0 - 2 + 3 + (0 + 2 - 4)*(-6 + 4 + 1) - 6 + 3 + 4 - 1 + 1 + 1) + (0 - s + 0)*(-3 + 0 + 4) in the form x*s + u and give x.\nAnswer: -3026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12573135*v + 2980398 wrt v.\nAnswer: -12573135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c = -62*c - 1368 + 55 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*d - 142*d - 149*d - d**2 - 160*d.\nAnswer: -d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 9*r**2 - 8*r. Let j be s(-8). Let z(k) = k**2 - 2*k + 13. Let c be z(j). What is the greatest common factor of c and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 294 - 247 - 265 + 12.\nAnswer: 5*d - 794","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/430488 and 1\/432.\nAnswer: 860976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(4 - (-20)\/(-12)). Sort -2\/21, 1, 1\/9, u in ascending order.\nAnswer: -2\/21, 1\/9, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 5*d - d + (-2*d - 2*d - d)*(0 - 2 - 1).\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**4 - 334072*k**3 - 8016192*k**2 - 64125440*k - 170995712 = 0. What is k?\nAnswer: -83494, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1 - 3*o)*(4085*o**4 + 2*o - 4146*o**4 - 2*o).\nAnswer: 183*o**5 - 183*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -10486 (c) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 10 = v. Let j = -201 - -206. Put -5, j, -4, v in ascending order.\nAnswer: -5, -4, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/5 - 51196*l**2\/5 - 61464*l.\nAnswer: 4*l*(l - 12805)*(l + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-18)*-6*9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -16*t + 96. Let b(z) = 15*z - 91. Let m(r) = -3*b(r) - 4*g(r). What is the first derivative of m(c) wrt c?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 + 61*h - 785. Is p(42) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 290\/5 + (-1)\/((-4)\/(-16)). Suppose 0 = w*p - 41*p - 68861. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1709*j - 69582 + 81406 + 261548 = -689*j for j.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -1994*o**3 - 5*o**2 - 5*o - 1261. Let t(d) = 991*d**3 + 2*d**2 + 2*d + 631. Let j(p) = -6*i(p) - 15*t(p). Differentiate j(w) with respect to w.\nAnswer: -8703*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117041 (base 9) to base 16.\nAnswer: -1145e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2))**(-9\/7)\/(c**10*c**(1\/5)) assuming c is positive.\nAnswer: c**(-312\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23, -77, -125, -167, -203, -233, -257?\n\"Answer: 3*c**2 - 63*c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1878 and 5634.\nAnswer: 5634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*x**2 - 81*x**2 - 43*x**2 - 239*x**2.\nAnswer: -596*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(304))**2 + 2*sqrt(475) + (sqrt(76)\/sqrt(2))\/sqrt(2) - (-5 + 1*(((sqrt(171))**2*3 - sqrt(19)) + (-3 + 1*sqrt(19))**2)).\nAnswer: 18*sqrt(19) + 67864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 203746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6970*u**3 - 27*u**2 - 2529780*u wrt u?\nAnswer: 41820*u - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 + 0) - (23 - 18).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1462 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -1\/2 (c) 1\/2 (d) -14 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -55353?\nAnswer: 55400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 7 = -z, -2*i - 11 + 0 = -5*z. Solve -5*s = z*k - 5, 2*s - 4 = s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 take away -959.35461?\nAnswer: 720.35461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*r - 252 = 0, -5*d + 2*r = 7*r - 380. Suppose 0 = -x + 5*m + d, 2*m + 78 = x - 2*m. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + 17552007?\nAnswer: 17552032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 y, and 1 q when four letters picked without replacement from {l: 1, o: 8, q: 1, i: 1, k: 2, y: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -8 + 29 + (1 - (-1 + 7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 4:42 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 2. Let b be u(-8). Suppose b = -t + 48. What is the highest common divisor of 28 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 421*b**2 - 3062*b + 38 + 3052*b + 6224*b**2 - 200 wrt b?\nAnswer: 13290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -17. Suppose j*r = -23*r + 12628. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2*v = 2*v + 3*y - 67 - 31, -46*v - 698 = -18*y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 21*w - 23*w - 12, 3*w - 12 = 3*s. Let z = 5 + -5.1. What is the smallest value in -2, s, 2\/5, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 4 - (-3 + 7 + -9 + 11)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfjqhjj. Give prob of sequence qfh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = j + 3*j. Solve 5*t = -0*t + j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**3\/2 + 2*i**2 - 40*i. Let v(d) = 4*d - 5. Suppose g = 2*r - 11 - 1, -5*g = 5*r. What is r*v(h) + 5*u(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(1\/10)*n)*n*n**(-2))\/(n\/(n*n\/(n\/n**(-3\/5))))**(-1\/4) assuming n is positive.\nAnswer: n**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*n - 4*q - 536 = 0, -2*n - 2*q = -260. Suppose -n*s = -138*s. Sort 33, s, -4, -1.\nAnswer: -4, -1, s, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeii when four letters picked without replacement from {e: 4, h: 2, i: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 610*h**2. Let c(t) = -2*t**2. Determine j(c(q)).\nAnswer: 2440*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104463 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11081, 11070, 11047, 11006, 10941, 10846, 10715?\nAnswer: 10542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (5 - -2 - 3). Let l be (z + 2)\/((-3)\/(-4)). Find the second derivative of -4*k + 0*k**l + 3*k**4 + k + k**4 wrt k.\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16 and 36543?\nAnswer: 36527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099111 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3653 is divided by 599.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2147*t + 2148*t - 5*h + 15 = 0, -t - 35 = -15*h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 1. Let z(a) = 3*a**2 + 2*a + 4. Calculate 5*o(h) + z(h).\nAnswer: -2*h**2 + 2*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 495742 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*c - 2273, -13 = 2*s - 3. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/6)\/(2\/(-6)). Let s be (-48)\/(-20) - (-4)\/(-2). Let t = 0.7 + -0.2. What is the nearest to 0.1 in d, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 950 and 525756410?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 411350494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9133 - 9137 - 4634*v + 27867*v + 18270.\nAnswer: 23233*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*j**3 + 190*j**3 + 162*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6401.9999993034 - -6402. What is s rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 1. Let k(t) = -13*t**2 - 3*t - 4. Let q(o) = 5*c(o) - k(o). Let v be q(-3). Suppose -3*u - 2*b = -v, 4*u + 2*b - 85 = -3*b. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175605178.\nAnswer: 2, 7, 1091, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2)*(0 + s + 0) + (-95 + 237 + 136)*(-2*s + 2 - 2))*(7*s**2 - 3*s**2 - s**2).\nAnswer: -1662*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*l - 8*l - 13*l)*(l + 0*l - 2*l) - 8*l**2 + 0*l + 0*l in the form m*l**2 + k + j*l and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -23401.\nAnswer: -2\/23401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/5)\/(48\/(-20) - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/65272 and -129\/110?\nAnswer: 3589960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 20857746?\nAnswer: 20857743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1701003 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 124*l - 128*l + g, 4*l = -4*g - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - f**2 - 4*f + 4. Let v be m(-2). Suppose o - 8 + 5 = v. Suppose -6*p + o*p - 4*y + 655 = 0, 0 = -4*p - 5*y + 873. List the prime factors of p.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2073.\nAnswer: 4146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 715\/39 + (-4 - 2) + (-1150)\/855?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154236518884 + 5830.\nAnswer: 154236524714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110 + -1011101?\nAnswer: -10001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -729884, -1459804, -2189728, -2919650, -3649564, -4379464?\n\"Answer: f**3 - 8*f**2 - 729903*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*b + 231*b - 110*b**2.\nAnswer: -110*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 414\/24 - 5306\/(-1400)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*v - 49*v + 30*v = 106*v + 7250 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/482240 and 57\/1731680.\nAnswer: 38096960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3008742?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -62*i**3\/3 - 10*i**2 - 10*i - 166. Let v(x) = x**2 + 2*x + 1. Let q(u) = 10*v(u) + z(u). Let t(g) = 5*g. What is t(q(d))?\nAnswer: -260*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 612 and 43057668.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 + 15*k**3 + 16*k**3 + k**4 - k - 60 - 2*k**3 in the form u*k**3 + a*k**2 + z*k**4 + y + h*k and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1752809*z**3 + 2799203*z wrt z.\nAnswer: -10516854*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11211543 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 147*a**5\/5 + 2772*a**4\/5 + 2547*a**3\/5 - 40566*a**2\/5 - 86184*a\/5 - 29376\/5 = 0?\nAnswer: -17, -24\/7, -2, -3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1335589?\nAnswer: 37, 36097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0018 + -3.\nAnswer: -3.0018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -6 - ((-1 - -8) + 3 - 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 588*d**2 - 2078*d + 188958. Determine y(585).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 283 - 283.895. Let u = 1 + p. Let v = -0.1 + u. Round v to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 + q + 1. Let t be a(-1). Find the common denominator of ((-2)\/(-3))\/(t\/91) and -13\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(sqrt(68)\/(-4*sqrt(100) - sqrt(100)))**2 + 0.\nAnswer: -1943\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and 2430.\nAnswer: 26730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d*l + 13114*d + 163*l**2 wrt l.\nAnswer: 5*d + 326*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -12*a + 1. Let m = 112 - 121. Let c be (-28)\/36 - (-2)\/m. Give d(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9173264, 18346522, 27519780?\nAnswer: 36693038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c - 5 = 0. Differentiate 12 - 16 + c*b**4 + 12*b**4 with respect to b.\nAnswer: 68*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016903 to 4 decimal places.\nAnswer: 0.0169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 610 + -583. What is the smallest common multiple of 18 and k?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57935224577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*t)*(-2 + 3 + 1)*(-4*t - 13*t - 4*t) - 4*t**2 + t**2 - 2*t**2 as b*t**2 + a + l*t and give b.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (14662*l + 92221 - 92221)*(-5 + 5 - 5*l**2 + (l + 0*l - 2*l)*(2*l - 5*l + l) - 2 - l**2 + 2) as a*l**2 + r*l + y + v*l**3 and give v.\nAnswer: -58648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 8*o - 46 = 0, -366 = 4*x - 4*o - 358 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -923174 divided by -131882.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 2*z**2. Let p be i(-2). Suppose -3*s = -4*s + 3. Suppose -b - s + 26 = p. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.218 (b) 72 (c) 1\/5 (d) 4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 - 54. Suppose -x + s = -6, -4*x + 3*s - s + 14 = 0. Let q be 40\/15*3*x. What is the highest common factor of q and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, -1\/12, 5\/4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93674 + -9180141\/98. Calculate the common denominator of -9\/112 and h.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3848055.\nAnswer: 3, 5, 41, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*(sqrt(7) + (sqrt(7) - (3*(sqrt(7) - (-1 + sqrt(7))) - sqrt(7))) + sqrt(7)) + -1)*-6)**2.\nAnswer: -322560*sqrt(7) + 1725696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 39*s**2 - 20*s - 93. What is the units digit of t(40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.725 take away 0.353?\nAnswer: -5.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 2*h**2 - 6*h + 7. Let t be p(3). Suppose 44 = -t*n + 38*n. What is the units digit of (-12 + n)\/((-2)\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 32*b - 30*b + 19*b)*((b + b - b)*(b - 5*b - 2*b) - 4*b**2 + 3*b**2 + 2*b**2).\nAnswer: 215*b**3 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481594 divided by 2.\nAnswer: -240797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -226*2\/(-4)*(1 - -8). Let x = n + -711. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/4 + 1117*s**2\/2 - 1116*s = 0. What is s?\nAnswer: 0, 2, 2232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 5)*(151*l - 1573*l + 213*l - 1663*l) as d + y*l and give y.\nAnswer: 2872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22955907 take away 2.277?\nAnswer: -22955909.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 38*g - 156. Let c(a) = -12*a + 52. Let v(o) = 8*c(o) + 3*s(o). Let w be v(3). Suppose -24\/5*p + 9\/5 + 9\/5*p**w + 6\/5*p**3 = 0. What is p?\nAnswer: -3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 487569 by 11.\nAnswer: 487569\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1525034.\nAnswer: 2, 7, 97, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/4 and (-30650)\/(-9300) + (2 - 6 - -1).\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, l: 2, a: 4, h: 4}. Give prob of picking 2 h and 1 r.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 528639919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 570567796?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 508875.6 hours to minutes.\nAnswer: 30532536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -229*k**4 - 115 wrt k.\nAnswer: -916*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 30, -1\/10, -1\/95?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142050, -142048, -142046, -142044?\nAnswer: -142042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/15 - 34\/(-85). What is the closest to 0.2 in -0.3, -11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -39.08. Let w = 222846 + -222843.91891. Let s = z + w. Round s to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 2, 1958?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -93986?\nAnswer: 93990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20\/9 + 238\/99. Suppose -45 = -4*s - 3*n - 13, -s - 3 = -2*n. What is the nearest to 1 in -5, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-4)*(-2 - 2). Let s be 2\/4*(16 - 12). Suppose 2*y = s*f + 4*y - 18, -f - 4*y = -21. Sort f, -1\/5, z, 1 in increasing order.\nAnswer: z, -1\/5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*o + 3*o. Suppose 6*x = o*x + 51. Let w = 41 - x. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -10*d**3 - 25*d**2 - 28*d + 22. Let v(z) = 7*z**3 + 17*z**2 + 19*z - 15. Let c(w) = 5*k(w) + 7*v(w). Is c(-5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1241*y - 1676*y - 46096 + 201909 + 141721 for y.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16105110 (base 7) in base 11?\nAnswer: 968057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -8\/3, 7, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 + 65. Suppose 0*z - s*z = -12. Suppose -41 = -3*l - j + 183, 2*l + z*j = 161. What are the prime factors of l?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2773*0.7.\nAnswer: 0.19411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 71, 162, 263, 380, 519, 686?\n\"Answer: m**3 - m**2 + 87*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 4) in base 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 - -2b189?\nAnswer: 2b169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-2 - (3 + 0 + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30293\/(-5) + 18\/30. Suppose -4*v = -4*p - 13968, -4*v + v - 14003 = 4*p. Let h = p - t. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-14)\/(-5))\/((-4)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91303852 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448595100.\nAnswer: 2, 3, 5, 498439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*s + 7510 + 8692 = -31714 for s.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.382263 decades?\nAnswer: 0.00382263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**4)**27)**(-2\/5))**41 assuming h is positive.\nAnswer: h**(-8856\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r + 15 = 0. Suppose 0 = -5*m + h - 2*h - 23, m - r*h - 5 = 0. Sort -5, m, 4.\nAnswer: -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*b**2 + 224*b + 65*b**2 + 302*b**4 - 226*b to g*b**3 + r*b**4 + k*b + m + p*b**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -492.58254 and 17.\nAnswer: -475.58254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3195930*k**2 - 3*k + 4*k + 3195928*k**2 - k + 6.\nAnswer: -2*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*h - 586*h - 28 = -295*h. Solve -g = h*d + 15, -2*g + 14 = -4*d + d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(((-133)\/(-70))\/(-19))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4*f**(-12)\/f*f**(-1\/3)*f*f**(-1\/5)\/f*f assuming f is positive.\nAnswer: f**(-128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d + 0 - 4\/7*d**3 + 2\/7*d**2 + 2\/7*d**4.\nAnswer: 2*d**2*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-38)\/(-10) - 5)*(-25)\/3. Are a and 18 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 871 + -3?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/21)\/(1\/(-228))*243\/(-73872)*-1064.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 35. Which is the closest to 1\/3? (a) -0.15 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 528*r**2 + 16432*r.\nAnswer: -4*r*(r - 26)*(r + 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50.58 + -49. Let h = -0.9 + a. Let g = 0.87 - h. Is g at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**2 + 8*r - 4. Let f be -6*(115\/30 - 4). Let m(x) = -x**2 - x + 1. Calculate f*l(o) + 6*m(o).\nAnswer: o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/7 + 934*w\/7 - 1872\/7.\nAnswer: (w - 2)*(w + 936)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -384 divided by -48?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-2))\/(-2)*-4. Let i = -800 - -803. Suppose -d + 46 = i*u. What is the remainder when 26 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3304, 0, -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2. Let r(k) = -3*k. What is r(t(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31811403 to the power of 1\/3, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) - 1*-3*sqrt(1500))\/(sqrt(60)\/sqrt(5)*-1*-4).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11\/15 (b) -5 (c) 1\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28215*v - 63694*v - 26354*v.\nAnswer: -61833*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/40 and 1\/9 - 2*7161\/100224.\nAnswer: 9280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 2*z - 1. Let u be x(4). Let n = 62 - 63. Calculate the remainder when -1*(n + -1 + u) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i + 8. Let f(j) = -j + 3. Let b(h) = 3*a(h) - 8*f(h). Let x be b(2). What is the remainder when 22 is divided by x\/(1 + (-21)\/18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1568 - 230*g + 502 + 1623*g wrt g?\nAnswer: 1393","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - k + 12 = 31, 2*r - 9 = -3*k. Solve -2*x - 1 = -3*s, -s - 4 = x - r*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-55))\/(1\/(-15))*(-19)\/190.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 892368 and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 494152 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12209916183 take away 3?\nAnswer: -12209916186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -2 - (20 - (24 - 1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.479606 to two dps.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c - s = -23, 5*s - 15 = 0. Let i = c - 5. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*s - 28, -54*p - 4 = 3*s - 52*p. Solve -4*u + 3*t = -u - 3, 2 = -s*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16920 take away -0.8606?\nAnswer: -16919.1394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-6 - (36 + -17)) - -22\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 4, 221, -4, -1, -2, -37 in descending order.\nAnswer: 221, 4, 3\/2, -1, -2, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -170281748 divided by -8801\nAnswer: 19348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 285, 949, 2233, 4341?\nAnswer: 7477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v + 1234 = 57*v + 1298 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 r when three letters picked without replacement from rbhrhg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1892935 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 16 = -2*a. Suppose 4 = 6*j - 7*j - 4*u, 5*j + u = 56. Let d(k) = k**3 - 5*k**2 + 7*k - 3. Let i be d(3). Put i, a, j in decreasing order.\nAnswer: j, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(39)\/sqrt(3))**2*-4.\nAnswer: -152 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -416 - -18b5?\nAnswer: 149e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 526680 and 1518?\nAnswer: 12113640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, -1, 0.4, 68?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1138, 1\/3, -1\/13, 0, -0.04 in decreasing order.\nAnswer: 1\/3, 0, -0.04, -1\/13, -1138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t + 8. Is c(0) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691*q + 633*q = 60*q - 17696 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 17*y**2 - 23*y + 4. Calculate d(16).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i**(-2\/7))\/i)\/i**(4\/7)*i\/i**(-1)*i\/((i\/(i\/(i\/i**(1\/2))))\/i))**23 assuming i is positive.\nAnswer: i**(1173\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 1669*f**2\/2 - 12*f + 37. Let h be q(2). Let r = h - -2673. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 473, 708, 943?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((44\/24)\/1)\/(12\/(-9 - -81)). Solve 2*b + 4*x + 28 = 0, 5*b = 4*x + y + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37.57 + 0.15.\nAnswer: -37.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -4, 2, -136.\nAnswer: -136, -4, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -991692 + -6?\nAnswer: -991698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 0*k + 0 + 2\/7*k**2 - 2\/7*k**3 + 2\/7*k**5 - 2\/7*k**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j + 0*j)*(63*j - 119*j - 2*j**2 + 4*j**2)*(-2*j - j - j).\nAnswer: -16*j**4 + 448*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 6*g + 7. What is the common denominator of ((-697)\/68)\/(0 - (0 + g)) and -67\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/344 and -25\/26.\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 - 113.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 4*k - 14*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**5\/60 - 5*w**4\/12 - 11*w**3\/6 + 25*w**2. Determine p(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v - 9. Let f(y) = 179*y - 4. Let g(n) = -626*n + 12. Let c(q) = -7*f(q) - 2*g(q). Give 13*c(x) + 6*p(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i*i**(-1\/6)*i))*i*i)**42*(i\/(((i*i**(-26))\/i)\/i))\/i**(2\/3) assuming i is positive.\nAnswer: i**(691\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6414 - -9293. Calculate the remainder when b is divided by 66.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 + 1.9. Let n = 5 + -17. Let m be 0 + (-2 - 26\/n). What is the nearest to 0.1 in p, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + ((-66)\/10 - 4\/10). Suppose 2*k + 4 = 3*k. Suppose q = -k*q - 15. Do q and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 - 2*n**2 - 3*n - 2. Let x(c) = 2*c**3 - 3*c**2 - 3*c - 3. Let w(l) = -5*v(l) + 4*x(l). Let s = -4 - -1. Is w(s) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5676 is divided by 2804?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*w + 16 = -3*q, -5*w - 16 = 4*q. Is q at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.5, 4\/5, 26, -5\/33?\nAnswer: -5\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 0*q + 2\/25*q**5 + 4*q**2 + 0 + 2\/525*q**7 + 2\/15*q**3 + 2\/75*q**6 + 2\/15*q**4. Factor u(i).\nAnswer: 4*(i + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23411.\nAnswer: 41, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - d + 4. Let l be b(0). Suppose -2*v + v - 2519 = -4*o, l*o = -2*v + 2534. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*g + 1063, 4*g = n + 242 - 1306. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**5 + 5*r**2 - 6*r - 6. Let g(o) = -7*o**5 + 16*o**2 - 17*o - 17. Let x(h) = -17*f(h) + 6*g(h). What is the third derivative of x(u) wrt u?\nAnswer: -480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 196.6 + -197.6. Which is the second smallest value? (a) -4\/7 (b) 2 (c) -403 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18761, -37504, -56235, -74954?\nAnswer: -93661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, q: 3}. What is prob of picking 1 q and 3 l?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 229*(2*3\/(-6))\/(-4 - -3). Solve 0 = 11*i + b - 174 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 19 = 1. Suppose 256 = l*d - 2*d. What is the first derivative of 4 - 64*z**3 - 4*z**4 + d*z**3 wrt z?\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 6052?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**4 + 34875*x**2 + 8098*x - 95?\nAnswer: 36*x**2 + 69750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (7 - (-7 - -15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 17*j = 55 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 8 = u - n, 5*n + 90 = 5*u. Suppose 3*k - 25 = -5*t + u, 21 = 3*k - 4*t. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 1:25 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -67.1 - -120837376.9\nAnswer: 120837309.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 5*o = 70. Suppose 3*p + 1 = -d, p - 2*d + 2 = 4. Solve 6*b + 23 - o = p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**6\/u)\/u**(-2\/7))\/(u*u**(-1\/3))**38 assuming u is positive.\nAnswer: u**(-421\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 8*p + 8. Let z be y(-3). Let d(o) = -2*o**z + 40 + 35 - 88*o**3 + o - 74 + o**2. What is the units digit of d(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*t + 3, -t + 3 = 2*j - 1. Suppose 0*n = 5*n - 15. Let q(v) = v - n*v - v. What is q(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 37849437?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -885*b*h**2 + 256*b*h + 7*b + 238729*h**2 - 226*h wrt b.\nAnswer: -885*h**2 + 256*h + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s**4\/7 - 73*s**3 + 5799*s**2\/7 - 2095*s - 1525\/7 = 0. Calculate s.\nAnswer: -61, -1\/10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = d + 13, 5*d + 19 = -3*n - 0*d. Let p = 5 - n. Solve u = p + 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 + 129. Suppose 2*y + 2*h - i = -3*y, 3*h - 16 = -2*y. What is the third smallest value in 10, -4, y?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**5*g)**30*g**8*g**5*g assuming g is positive.\nAnswer: g**254","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = a - 4*f, 50 = 5*a - 3*f - 189. Let c = a + -43. What is the hundreds digit of 550\/15*c\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-12))\/(3\/12). Suppose 4*f + 20 = -f, -3*g - 180 = -w*f. Does 6 divide (-3 + (-27)\/(-12))*g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.4 (c) 17 (d) 4 (e) 3.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4706647 centuries in months?\nAnswer: 564.79764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 2*z**2 + z + 6. Let b be h(3). Are -1\/2 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/(((-165)\/50)\/11) and 70\/12 - 2\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 2\/7 (c) 0.07 (d) 1 (e) 574\/69 (f) -0.2 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 0 + 0*o**2 - 5\/3*o**3 + 19*o - 25\/24*o**4 - 1\/72*o**6 + 1\/4*o**5. Let b(q) be the second derivative of s(q). Factor b(x).\nAnswer: -5*(x - 5)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2460 and 1340?\nAnswer: 164820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6690 - -6692) + -68 + 2?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 3:40 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -1.2542, 0, 4\/7 in increasing order.\nAnswer: -1.2542, -1, 0, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 592*c**2 + 469*c + 3777. Does 14 divide p(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5529, 5523, 5513, 5499, 5481?\n\"Answer: -2*z**2 + 5531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 206 = 172. Let p be (6\/i)\/((-2)\/(-372)). Let r = p - -32\/7. Is r <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 16 = 4*w, -f + 17*w + 8 = 15*w. Solve -16 = -2*k + 2*a, k - 2*a - 12 = -f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 64372 = -7*c. Suppose 0 = 2*x - 3*r - 1259 - c, 3*x - 10641 = -4*r. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) -0.41 (c) -2 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**4\/5 - 428*n**3\/5 - 632*n**2 - 3712*n\/5 + 7296\/5 = 0.\nAnswer: -4, 1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(3\/4)*r*r)\/r)\/r**(-1)*(r**(-2\/3))**(-44))**41 assuming r is positive.\nAnswer: r**(15785\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 8*o - 30. What is the third derivative of 3*s**o + 4*s**2 + 3*s**4 - 3*s**4 + s**2 wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 12*a**3 + 901*a**2 + 74*a - 76. Determine f(-75).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1968.96 - -2192.9. Let v = -222 + g. Let u = v + 0.06. What is the nearest to u in -0.4, 2\/3, -2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 41. Let f(y) = 5*y + 1. What is f(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 3:22 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -84, -89, -96?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 13843 = 37*i - 13732, 5*i = -5*u - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -55445*u**4 + 122*u + 38*u**3 - 4 + 55444*u**4 + 5 - 1 in the form y*u**2 + o*u + n*u**3 + d*u**4 + a and give o.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13082107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000193148 to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 4. Let f be j(16). What is y in 8*y**3 + 3*y**3 - 36*y**5 - 3*y**3 - f*y**4 = 0?\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -n + 5*u, n + 0 = 3*u - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i. Let f(g) be the second derivative of g**5\/120 - g**3\/2 + 3*g. Let t(p) be the second derivative of f(p). Give x(t(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -860 = -471*i + 866 - 6907 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3160 + 47?\nAnswer: -3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 282*s**2 + 4*s - 1. Is r(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f + 27. Let z(c) = 12*c - 244 - 25*c + 119 + 10*c + 121. Let q(i) = 6*i + 9. Calculate f*z(t) - 4*q(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10102*l**3 - 30296*l**3 + 2 + 10098*l**3 + 10100*l**3.\nAnswer: 4*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 68520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47861*t + 48832*t - 40782 = 0 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6114 = 32*n - 2526. Which is the second biggest value? (a) 1\/3 (b) n (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**3 - 15*g**3 + g**3 - 42*g**3 - 29*g**3.\nAnswer: -74*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-5)\/(-5) + 2. Which is greater: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1659 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3 - 21*t**2 - 99*t + 121 = 0. What is t?\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 95*y - 121*y.\nAnswer: -214*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uauuaaaaau. Give prob of sequence uaau.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.349 + -0.349. Suppose 0 = -4*o + 54 - 270. Let p = o - -217\/4. Which is the third smallest value? (a) g (b) p (c) 2\/11 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 5*w - 35, -203*x = -207*x - 3*w + 7. Solve 0 = -4*b + 5*g + 31, -127*b + x*g = -130*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19e553 (base 15) to base 7.\nAnswer: 13511352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 844 (base 16) to base 8\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.7 minus 22?\nAnswer: 93.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/(-2)*(-60)\/4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 12:18 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7.9 (b) -5 (c) 25 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27614732 divided by -4.\nAnswer: 6903683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*s - 30, s - 2*s + m = -6. Let g be 44\/10 + 2\/(-5). Suppose -s = 3*r, 72 = g*n + r + r. Solve n - 3 = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 573 and 6.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Let d be u\/(-9) - 49\/(-3). Suppose 10*m = 11*m - 5*p - 18, 3*m + 6 = -5*p. Solve 0 = m*j + 4*s - d, -3*j - j = -4*s + 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36.8 * -0.2306.\nAnswer: -8.48608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17478\/30513 - (-188)\/(-329). Is x > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 213 and 0.4.\nAnswer: 85.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 6, -0.05 in descending order.\nAnswer: 11, 6, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 0)*(0*f + 0*f + 2*f**2) + 0*f**2 + 0*f**2 - 2*f**2 + 2*f**2 + 0*f**2 - f**2 + (-f - 3*f - 2*f)*(6*f + 0*f - 4*f))*(4*f**3 - 2*f**3 - f**3).\nAnswer: -9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -34267 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4 + 2. Let j be 336\/7 - (-1 - f). Suppose r + j = 5*r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1 + 3 + 4*p + 3 - 3*p. Suppose -2*v + i = 13, -v - 5 - 4 = 2*i. Let k be u(v). Which is the closest to 2? (a) -3 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a5d + -c?\nAnswer: -a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 6 - -7) + -10\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/19588 and 13\/1660?\nAnswer: 97940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 49291173 - 3?\nAnswer: 49291170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -18. Suppose -2*f + 85 + q = 0. Calculate the greatest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101086445?\nAnswer: 5, 20217289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 13*v - 14. Calculate n(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1708270 by 5.\nAnswer: 341654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 4*f**2 - 4*f**2)*(8*f + 2*f - 3*f)*(-233 + 394 - 188).\nAnswer: 567*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g. Let w = 84 - 56. Let b(v) = 2*v**2 - 28*v. Let a(h) = w*k(h) - 2*b(h). Let n(p) = p. Give n(a(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 - 84 + 183 + 3*v**2 - 98 + 5*v - 3*v. Let m(q) = -10*q**2 - 2*q. Determine 4*m(n) + 5*u(n).\nAnswer: 5*n**2 + 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 4*u + 12 = 0. Suppose d + u*d + 4*p - 136 = 0, 4*d - 127 = 5*p. Let r = d - 21. What is the greatest common factor of r and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 7. Let f be c(2). What is the tens digit of 3876\/38 + (-2 + -1)\/f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 468 - 655. Let p = v - -213. Suppose -237 = -5*m - 2*s, 0 = m + 2*m + 2*s - 139. What is the remainder when m is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 5120.\nAnswer: 56320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 209, -1\/2, 2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1919.\nAnswer: 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s + 429. Let l(t) = -1. Let m(v) = 2*v + 148. Let q(i) = 5*l(i) + m(i). Let o(u) = 6*b(u) - 17*q(u). Is o(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyo. What is prob of sequence yyyy?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.19.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 387 - 92. Let u = w + -160. Suppose 4*v + 136 = 4*m, -23 = m + 14334*v - 14332*v. What is the highest common divisor of m and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - 8*d + 8*d - d**3 + 4*d**3.\nAnswer: 3*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 2 (b) -5 (c) 9 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229190116 to the nearest integer?\nAnswer: 15139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(30)\/sqrt(6)) - (3 + sqrt(2) + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4776673 (base 8) in base 4?\nAnswer: -10333312323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-306)\/34 - 153\/(-15). What is j in -21\/5*j**3 + 9\/5*j + 36\/5*j**2 - 18\/5*j**4 - l = 0?\nAnswer: -2, -1\/2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqgqqggggqgqggqgg.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -3979.21?\nAnswer: -3979.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 203, 399, 595, 791?\n\"Answer: 196*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 2. Suppose -2*g + f = -0*g. Solve -2*z = -5*o - 6 - 15, -3*o - 11 = -g*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/2208 and -5\/657?\nAnswer: 483552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 - 106. Let o = 3.7 - 4. Let y = -4 - -2. What is the nearest to y in f, -1\/4, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 15) in base 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 5*i - 1. Let v be y(5). Does 13 divide v + 4\/6*30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 2\/(2 + 0). What is the third derivative of b*v + v - v + v**2 + 3*v**5 wrt v?\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1028*z - 1021*z + 2049*z + z**2 - z**2 - 6*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -9035*d - 197. What are the prime factors of n(-1)?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*w + 703, 2129 = 3*b + 374*w - 370*w. Solve -10 = b*o - 709*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4567, 9128, 13689?\n\"Answer: 4561*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2430*j - 1044*j - 666*j - 349*j to z*j + d and give z.\nAnswer: -4489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + h - 4. Let m = 26 - 37. Let w = m - -29. Calculate the lowest common multiple of w and s(-5).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/(-18))\/((-3)\/9). Let a = d + 4. What is the lowest common multiple of a and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440938 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*i**2 + 34*i - 8*i + 0*i**2 as q*i + f + r*i**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 51019 - 427081 = 0. Round d to the nearest 1000.\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/520 and (-348)\/(-754) - 812\/(-6240).\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107444?\nAnswer: 2, 26861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-3780)*(-42)\/44.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1164*u + 142014. Determine k(122).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -111144.\nAnswer: -33343.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f - 2*n = 197, 3*n = -4*f + 257. Calculate the remainder when f is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-194997)\/3553 - -55 - ((-22054)\/(-187) + (-6)\/(-33))?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -2*h**6\/3 + 2*h**3\/3 - 4. What is the third derivative of a(c) wrt c?\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + (5 - 3) + 0 + -255 + 240.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14848069*n - 2*n**2 - 3*n**2 + 0*n**2 + 14848069*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 383*c**2 + 4*c + 337. Let j(h) = -765*h**2 - 7*h - 674. Let n(v) = 3*j(v) + 5*s(v). Differentiate n(a) with respect to a.\nAnswer: -760*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)*3*6.\nAnswer: 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, l: 2}. Give prob of sequence llf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 5 + 5)*(-1 + 2 - 4)*(203 - 45 - 46) as x*c + o and give x.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111.7 + 17.3. Let d = -122 + y. Which is the third biggest value? (a) 2 (b) d (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1 + sqrt(243) + 0 + 0)**2*-6.\nAnswer: -5838 - 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 5*h**3\/3 - 480*h**2 + 46080*h - 150. Factor t(f).\nAnswer: 5*(f - 96)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -z - 0. Let d be 18\/144 + (-47)\/(-8) - -10. Is z + 337*d\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -4 (c) 7 (d) 305\/451\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 52 = -2*a, 4*a = 2*z - 137 + 33. What is the highest common divisor of z and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, v: 1}. Give prob of picking 2 w.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/(-352)*4)\/((-10)\/(-55)))\/((-1)\/(-130)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 9*k - 4. Let t be v(8). Let l be t*2\/4 - -35. Suppose -3*y + l = 4*p, 0*y = -y + 3. What is the greatest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(7) + -4 - (-3*sqrt(20) - sqrt(20))\/sqrt(10))**2 + 1.\nAnswer: -40*sqrt(2) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145391250 by 48463750.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 5 - 1, 3*q = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 168, 4, 1 in increasing order.\nAnswer: 0, 1, 4, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 v when three letters picked without replacement from {j: 2, x: 3, r: 5, v: 1, a: 1, p: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -315 - 12133522?\nAnswer: -12134241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6167838.\nAnswer: 2, 3, 17, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1582 = -5*a + 2328. Does 42 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + r + 15, 113*b = -128*b + 261*b + 3*r - 129 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -190 and 0.2.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -9*t**5\/20 + t**4\/6 + t**3\/6 + 19*t. Let o be g(-1). Calculate the remainder when 79 is divided by 3*o\/(-25)*(-40)\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + ((sqrt(176) + 0)**2 - -1*(sqrt(11) + 1))) + (-6*(sqrt(66)*-3 - sqrt(66) - sqrt(66)))\/(sqrt(6) + -4*sqrt(54)).\nAnswer: -708 - 74*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/10)\/((-1)\/6). Find the second derivative of -2*v**x - 2*v - v + 0*v - 5*v wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2. Let u(a) be the second derivative of 22*a**4\/3 - 89*a. What is u(q(y))?\nAnswer: 352*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 68*s - 4078. Let o be m(60). Find g such that 1\/4*g**4 - 5\/4*g**3 + 1\/2 + 9\/4*g**o - 7\/4*g = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14046 (base 9) to base 14\nAnswer: 367d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 9, -1164 = -5*g - 0*g + 2*k. Let z be 3*(-4)\/g*(-6)\/16. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 41 = -9*s. Let j(b) = b**2 + 5*b + 25. Let l be j(s). What is the tens digit of -3 + 2 + l + 4\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83077037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 251416097 a multiple of 2861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37596240359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r - 5. Suppose -14 + 59 = -5*u. Let f = u - -16. What is the least common multiple of y(-4) and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) - 1*(-2*sqrt(72))**2 - (sqrt(72)*-1 + -2 - sqrt(72))**2 - (1 + (4 + sqrt(2) + 2 + (sqrt(2) + -2)*2)**2).\nAnswer: -603 - 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3005376244 to the nearest integer?\nAnswer: 54821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1663 - 1650. Calculate the remainder when 4\/(-5)*(-500)\/8 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - s**2 + s. Let t(z) = z**2 + 1. Let f(i) = 5*i**3 - 3*i**2 + 3*i - 1. Let j(d) = -f(d) - t(d). Give j(n) + 4*q(n).\nAnswer: -n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**14*u)\/u)\/u*u**9*u*u*u**(-1\/2)*u**4 assuming u is positive.\nAnswer: u**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07245 and 3.81?\nAnswer: 0.2760345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.6, -1\/3, -0.3, -2\/259?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1222 - 666. Let r = -187 + v. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -11*d**2. Suppose -8*v = -9*v + 2. Let s(g) = -6*g**2 + 16*g**v - 9*g**2. Determine s(l(x)).\nAnswer: 121*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 12630000 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -257432.\nAnswer: -257432, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2119*u - 10 = -2129*u. Let d(p) = -p**3 + p**2. Let w(n) = 16*n**3 - 6*n**2. Give u*w(r) + 6*d(r).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2011 (base 3) to base 13\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*l = 129*l - 72 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 - 11.231?\nAnswer: -11.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + (sqrt(6)\/(sqrt(2) - (sqrt(2) + sqrt(4)\/sqrt(2) + sqrt(2))) - sqrt(3) - sqrt(3) - sqrt(3)) + 3 + sqrt(192) + sqrt(48) + sqrt(48))**2.\nAnswer: 75*sqrt(3) + 1907\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16616171 (base 9) to base 16.\nAnswer: -7f365d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Let l(d) = 14*d + 7. Let o be l(-4). Let c = -44 - o. Solve -c*k - 25 = f*w - 0*k, -w = 5*k + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.76 - -0.26. Let k = 0.32 - 0.02. Let x = v + k. Put x, -0.1, -2\/5 in descending order.\nAnswer: -0.1, x, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 29*y - 12. Determine v(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.134 - 0.97. Let b = q - 0.664. What is the third smallest value in 6, 1\/2, b?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 + 2*g + 4. Let p(n) = 2*n**2 + n + 2. What is -7*p(d) + 3*u(d)?\nAnswer: -2*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12\/10411 (b) -2.3 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10522359 by -633.\nAnswer: -16623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2 (c) 8\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1869 and 26700?\nAnswer: 186900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2, -2*k + 76 = -10*a + 14*a. Suppose l + 6*u - 11*u = 7, -2*u + a = -3*l. Sort 5, l, 1, 3 in increasing order.\nAnswer: l, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, 0.04, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/11 (c) -0.1 (d) 23 (e) 34218\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) + (sqrt(224) - ((sqrt(224) - -4*sqrt(224)) + sqrt(224) - sqrt(224))))*2)\/sqrt(8).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214592002 is divided by 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by 2075840?\nAnswer: -1\/79840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4296\/5 - -866. Calculate the common denominator of 61\/22 and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -30*w - 3. Let m be p(-2). Let t = 57 - m. Suppose t = -d - 3*u + 2998, -3*u = -3*d - 5*u + 9022. What is d rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100950271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-0.133\nAnswer: -0.00665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l - 4*l + 0*l)*(4 + 1 - 3) - 4*l + 2*l + 7*l - 406*l + 368*l + 1149*l to the form c + n*l and give n.\nAnswer: 1114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 22*m = 414. Let v = m - 68. Let o = -48 + v. What is the remainder when o is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 r when three letters picked without replacement from {r: 3, q: 1, a: 2, v: 4}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38871 = 2957*j - 53656 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/18 + (-16)\/((-15120)\/(-825)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 0 + 7\/7. Let a be 119\/(-56) - (t + -2). Is 1 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 6*m - 80100. What is m rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81108*f - 110398*f + 172630*f.\nAnswer: -18876*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -799646199\/8 or -99955774?\nAnswer: -99955774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 10*t - 66, a - 17 = -7*t + 5*t. Let h be (-4)\/(-10) + 216\/10. Suppose h*y - a*y - 18 = 0. Solve y = w + w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + -22?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -24. Is -5 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-13*l + 26*l + 53*l) + (4*l + 1 - 1)*(2 + 5 - 5) - 1 + 1 - l.\nAnswer: -59*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6457 is divided by 556?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 4*j - 11, -l = 2*j - 5 - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001428 rounded to 5 decimal places?\nAnswer: 0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpc when three letters picked without replacement from {d: 5, p: 3, b: 2, c: 1, q: 5}.\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldntntmtunntt. Give prob of sequence nt.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2)\/(21 + 21 + -41)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 26e5 (base 15) to base 5\nAnswer: 231230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1386 is divided by 231?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 4, a: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/94)\/(7 - 6). Let v = -221\/376 - c. Find the common denominator of v and -37\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -38. Suppose -2*n + 5*g - 2 = 0, -4 = -5*n + 4*n + r*g. Let q be 0 - 178\/(-3) - 4\/n. Calculate the highest common divisor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13cc - 1320?\nAnswer: ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2 + -2 + -6 + 421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*m + 35916 - 7884 = 573*m for m.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -31*h**6\/120 - h**3\/6 - 2*h**2. Let l be v(-1). Let g = l - 21. What is the remainder when 26 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 2*r**2 + r)*(-9 + 55 - 2*r**2 - 4) to p + w*r + k*r**4 + v*r**2 + i*r**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*s - 43 = 77 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**5\/135 + o**4\/18 + 4*o**3\/27 - 4*o**2. Factor d(g).\nAnswer: 4*(g + 1)*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -484857*m. Let a(g) = -9*g. What is a(f(y))?\nAnswer: 4363713*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -128 (c) -5 (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -118, -161, -204, -247, -290?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -338*b**3 + 5382*b**2 + 18960*b + 15200.\nAnswer: -2*(b - 19)*(13*b + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60721 >= 65826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36504 - 7a?\nAnswer: -3657e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3954481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/10)\/(1\/18) - -3. Is f less than or equal to -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -1960*x + 1246*x - 1522*x - 1251*x. Let y(g) = -5*g. Calculate y(j(t)).\nAnswer: 17435*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -29. Let a be 3\/x*-6 - -2. Solve a*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqhq when four letters picked without replacement from {n: 13, x: 1, q: 2, h: 3}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3560*j - 4699198. Calculate m(-1320).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1405903 is divided by 1405838.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 12*a**2 + 10*a - 12. Let w be p(-13). What is the second derivative of -3*u**5 - 5049*u**4 + 4992*u**4 + 26*u + w*u wrt u?\nAnswer: -60*u**3 - 684*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 7*l - 19. What is z(-8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**3\/6 - 5*y**2\/4 - 3*y + 33. Solve t(l) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, x: 4, k: 11, p: 3}. Give prob of picking 3 k.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*i**2 - 2*i**3 + 11*i**3 - 27*i**2.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 c, and 1 p when three letters picked without replacement from euchp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 749 divide 103054429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*q - 10 - 79. Solve -3*h = -4*f - 3, -2*f + h = -q - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -71, -161, -287, -449, -647, -881?\n\"Answer: -18*r**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81718122.\nAnswer: 2, 3, 13619687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.9 + 1.1. Let l = 4.3 - j. Let z(k) = k**2 - 8*k + 7. Let f be z(6). Which is the third smallest value? (a) 0.5 (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 249 - 238. Solve q*i = 2 + 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 5\/3*i**3 + 1\/12*i**4 - 1\/120*i**5 + 0 + 0*i**2 + 6*i. Let g(x) be the second derivative of h(x). Calculate g(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*z**3 - 77*z**3 + 1191*z - 605*z - 583*z - 73*z**3 + 68*z**3.\nAnswer: -266*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*p + 154 - 18, 3*n - 2*p - 130 = 0. Which is bigger: n or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2148*a + 4488*a + 1024438 = -3310*a for a.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-1\/5)*x*x))\/x)**(25\/3)*(x\/x**(3\/4))**(2\/131) assuming x is positive.\nAnswer: x**(-3929\/262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 769144502 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455 = 3*k - 2*v, -2*k = -k + v - 145. Let w = k + -145. Solve w*h - 19 = 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 6*h**2 - 6*h - 4. Let m be 2 + (-9)\/2*8\/(-12). Let r(w) = w**3 - 7*w + 2*w**2 + 4*w**2 - 5 + w**2. Determine m*f(d) - 4*r(d).\nAnswer: d**3 + 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/((-6270)\/(-76)))\/((-12)\/(-30)*29)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -4*y, 4*m - 8*y = -9*y + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*i - 134*i = -9068 - 22516 for i.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-2)\/4)*10. Suppose 29*z = h + 25*z + 1, -16 = -4*h - 4*z. Put -4, h, -2, k in descending order.\nAnswer: k, h, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26675.26 litres?\nAnswer: 26675260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccycyccc. What is prob of sequence cy?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**3*m**2 + 10*c**2*m**3 + 4*c**2*m**2 - 6849*c*m**3 + 2*c*m wrt c?\nAnswer: -24*c*m**2 + 20*m**3 + 8*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 519 + -755. Let p = 316 + g. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**4\/4 + 20*d**3\/3 + 23*d**2 + 15*d - 95. What is the tens digit of b(22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11295, 11300, 11305, 11310, 11315?\nAnswer: 11320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f**2 + 5*f + 11. Let a(p) = -p**2 + p + 1. Let u(h) = -6*a(h) + z(h). What is u(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-40))\/((-4)\/10). Is -0.04 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*t + 4*t + 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + -71?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 42923, -0.1, -4\/19 in increasing order.\nAnswer: -4\/19, -0.1, 42923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*m - z, -4*m + z - 12 + 2 = 0. Find the common denominator of -139\/6 and (0 + 102)*m\/(-84).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6430 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4567 - -8587. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 divided by -6?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -77, 3 in decreasing order.\nAnswer: 3, 1, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*m + 7*m = -16, -2*m = -5*c + 19. Let z = 6 - 4. Let d be c\/z*-1*2. Let f(b) = 4*b + 4. What is f(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 200530512 + 4?\nAnswer: 200530520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -324.34686 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2.9, 2\/1497, -2\/7 in decreasing order.\nAnswer: 2.9, 2\/1497, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 4*t**3\/3 + 19*t - 10. Is i(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z - 14. What is the remainder when j(-10) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/707 and 93\/7474.\nAnswer: 52318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2472153, 4944299, 7416445, 9888591, 12360737, 14832883?\nAnswer: 17305029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1346*j - 1356*j - 70 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -912 - -1092. Calculate the remainder when 783 is divided by y.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 14 = -4*d, u + 9 = 5*d + 2. Let q = -584 + 583. Suppose 3*f - 7 = -1. Put u, q, f in descending order.\nAnswer: u, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a. Suppose -4*j = -2*x + j + 20, -16 = 3*x + 4*j. Let z(y) = -2*y**2 + y**2 + x*y**2 - y**2. Determine d(z(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110000100101001010 + -100?\nAnswer: 10110000100101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1096 divided by -41336?\nAnswer: 137\/5167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -16860\/244253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-10)*380\/8*(-7110)\/21330.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 1. What is g(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 12 = 4*y. Suppose -y*f + 14 = -10. Let x(l) = 3*l + 5*l - f*l. Let a(s) = -s. What is x(a(o))?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*m**2*r**3 + 1031*m**2*r + 2*m*r**3 + 14*m*r**2 - 5*m - 6*r**3 wrt m?\nAnswer: 10*r**3 + 2062*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 1.83.\nAnswer: -0.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**5 - 2*i**5 - i**5 + (4*i - 5*i - 4*i)*(-3*i - 2 + 2)*(-3*i**3 + 2*i**3 + 0*i**3).\nAnswer: -12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108 + -112. Sort p, -3, 5, -2 in decreasing order.\nAnswer: 5, -2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 187.605 from -4.\nAnswer: -191.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -21) + (26 + -13 - -18)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5539627*f*u**4 - 2*f*u**3 - 13*f*u + f - 1224 wrt u.\nAnswer: 66475524*f*u**2 - 12*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21990\/105*(-1)\/(-2). Let j = 105 - d. Which is the nearest to -0.1? (a) -1\/9 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 2 - 87*y + 5 + y**2 as j*y**2 + u + t*y and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356580 is divided by 204.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*1)\/(9\/9). Suppose 7 = -y*x + 33. Solve 5*k + 12 = -x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*u - 5, -4*g + u = -16. Solve 8 + 4 = g*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/49))\/(f\/(f*f\/f**(1\/7)))*(f**(-6)*f*f)\/(f*f**(-4\/11)) assuming f is positive.\nAnswer: f**(-1476\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5582*d**2*r**2*s - 99*d**2*r*s*x**3 + d*r**2 + 2*d*s + 2*d*x**3 - 5*r**2*s*x**2 - 205*r**2*x**3 + 24*r*s*x wrt d.\nAnswer: 11164*r**2*s - 198*r*s*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1736\/3 - -580. Let g(x) be the first derivative of -1\/12*x**6 + 7\/4*x**2 - 16 + 1\/5*x**5 + 1\/4*x**4 - x - t*x**3. Factor g(b).\nAnswer: -(b - 1)**4*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from clbclolbccbccclccc.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c + 6*c)*(21*c**2 - 5*c**2 + 5*c**2 + (-c + c - 3*c)*(2*c - 5*c - c)).\nAnswer: 231*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247 = -4*g + 4*f + 275, 5*g = 2*f + 35 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 855 and 36670?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/15)\/(13\/(-1)). Suppose 0 = 3*m + 2*m - o - 1231, 4*m - 5*o - 989 = 0. Suppose -9*y - 246 = -m. Which is smaller: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**2 + 2*j**2 + 0*j**2)*(-2 + 0 + 7*j**2 - 52*j**2).\nAnswer: 180*j**4 + 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 21*m + 8*m)*(-1 + 0*m - 2*m - m).\nAnswer: -93*m**2 - 31*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-5 - -3 - -1) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 67276030*p + 224435461.\nAnswer: 67276030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 7:28 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11819599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37, 62, 103, 160, 233, 322, 427?\n\"Answer: 8*g**2 + g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*x = -x - 1, o - 2 = -4*x. Let z = 3 - 1. Let u be 0\/((z - -1) + -1). Sort o, u, 5 in increasing order.\nAnswer: o, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.13 times 4.16\nAnswer: -79.5808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 136475048?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + j**2 - j. Let x be w(3). Suppose -4*l + 11*l = 1267. Suppose 13 = -f - 3*y + x, 3*f - l = y. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or 0.9834?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - 25 - (-46301 + 46297)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -28*o**2 - 6 + 18 + 57 + 25*o + o**3 - 9. Let u be z(27). Calculate the highest common factor of 51 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 3*u - 4*s - 30, s = -3*u - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oosoooqhoogoohgsgso. Give prob of picking 2 o, 1 s, and 1 q.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/4 - 49*q**4\/2 + 1583*q**3\/2 - 8118*q**2 - 42471*q\/4 + 35937\/2 = 0. Calculate q.\nAnswer: -2, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203*s**6 - 2*s**5 - 3*s**2 + 10*s wrt s.\nAnswer: 24360*s**3 - 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**6\/6 - 4*a**2 - 5*a. What is the derivative of y(i) wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 45 = -11. Let i = -39 - g. What is the remainder when 31 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Let p = -69.37 + 69. Let x = p - -4.37. Which is the nearest to x? (a) -3\/7 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z + 1251. What is the remainder when i(36) is divided by 236?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1151264 - 2621264. What is l rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 - 3*z**2 - 4*z**2)*(1 - 1 - z) + (-2*z + 4*z**3 + 2*z)*(-1 - 8 + 3) + 7*z - 8*z**3 - 7*z.\nAnswer: -31*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 340305 (base 6) to base 2\nAnswer: 110111111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + s**2 + 217273*s**4 - 217271*s**4 - 7*s**2 - s in the form t*s**2 + k*s + a*s**4 + r + u*s**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -3. Suppose -x + 50 = j*h - 15, -4*h + 3*x + 71 = 0. Let y = h + -9. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2. Let t(d) = 14*d**2. Let b(l) = -238*l**2. Let c(o) = -5*b(o) - 84*t(o). Calculate c(f(w)).\nAnswer: 126*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 8*z**2 + z**2)*(2*z + 5*z - 4*z) - z**3 + 3*z**3 - z**3 + 0*z**3 + z**3 - 2*z**3.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -103*k**2 + 7*k - 18. Let t(o) = 51*o**2 - 4*o + 8. Let a(b) = 9*t(b) + 4*x(b). Find the second derivative of a(z) wrt z.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - (-4)\/(-5)*(5 - 0). Solve m**u - 1 + m**3 - 2*m + m**4 - 635*m**2 + 635*m**2 = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 12:38 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-47)\/(k*k**(2\/25))*k*k**(-46)\/k*k\/(k**31*k))**(4\/15) assuming k is positive.\nAnswer: k**(-12508\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 - -5.24. Let h = t - 5. Let o = 0.6 - h. Which is the smallest value? (a) o (b) -2\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19169254 and 4423674.\nAnswer: 57507762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 26198 = -3*y, 32*n = 29*n - 2*y - 39302. What is n rounded to the nearest 100?\nAnswer: -13100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62663 divided by -4?\nAnswer: -62663\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 9:23 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1514 and 52494922.\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -70\/3. Which is the nearest to l? (a) -1\/3 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/4)\/((391\/(-6834))\/23) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -462, -919, -1376?\nAnswer: -1833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 6:25 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - 157. Let u = k + 93.8. Let v = u + -9. Which is the second smallest value? (a) -3 (b) v (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 5*u**6\/6 - u**2 - 5. What is the second derivative of s(r) wrt r?\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -25*v**3 + 13*v**2 + 6*v + 15. Let f(u) = 13*u**3 - 7*u**2 - 3*u - 8. Let c be -11*1\/((-3)\/3). Let k(r) = c*f(r) + 6*w(r). Is k(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 381646812520.\nAnswer: 381646812522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - k = -1694. Suppose -4*q + 317 = 5*c - 0*q, 2*c + q - 125 = 0. Let d = k - c. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/23460 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12796271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/1*1\/(-1)*(-20)\/6664*-119?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3) + (-50 - -50) - (0 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931096933?\nAnswer: 13, 691, 103651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (11 + -11 - (-1 + -1 + 1))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1018700 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + g**2 - g - 4. Let k be t(0). Let m = 39 - k. Is 27 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 3*k - 7. Let o be n(-5). Suppose w = -o*w. Solve w = 2*r - 3 + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 227969 - 43179. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2275 - -1055. Let i = y + 2229. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 5*n + y, 4*y = -5*n - y - 80. Let g = n - -36. Solve 4*w - g = 5*l, 0*l + 4*w - 17 = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from hmoqsqq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(2 + (0 - 5)). Let q be 4\/6 + (-10)\/o. Suppose -3*d - 48 = -q*d. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -363*34.1\nAnswer: -12378.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -18*t**3 - t**2 + 2*t + 2. What is x(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 3*s**2 - 5*s + 4. Calculate o(5).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 111?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 29 = -r. Let f be 3*(-1)\/3 - r. Solve f*b + b = -o - 20, 2*b + 3*o + 10 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7 - 2*w - 6*w**2 + 2*w - 2. Let h = -3 + 10. Let f = h - -2. Let n(k) = -3*k**2 - 4. Give f*n(j) - 4*v(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1376700.\nAnswer: 2, 3, 5, 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -149 - -170. Find the third derivative of -7 + b - 16*c**6 - 4*c**2 + 3*c**2 + 125*c**6 wrt c.\nAnswer: 13080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 23608?\nAnswer: -23613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 237 and 240 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92835\/79 + 1175. Which is the smallest value? (a) 2 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 + 8*b**2 + 4*b + 18. What are the prime factors of h(-8)?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 664 and 3818.\nAnswer: 15272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -32. Suppose 0*b + 3*d - 12 = 3*b, -3*b - 3*d - 6 = 0. What is the remainder when y is divided by -3*(3\/b - (-3 - -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 992 and 28985.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s - 10. Suppose -5*u + 3*o + 142 = 2*o, -s*o + 15 = 0. Suppose a - 2*a + 28 = 0. Which is smaller: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11287216.03 rounded to the nearest 100000?\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3542 divided by -7?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11361526 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3344059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*b + 16, 0 = 4*k - 0*b - 5*b - 1. Let v(o) = o**2 + 4*o - 8. Let d be v(k). What is the derivative of 1 - j**3 + 6*j**4 - j**d + j**3 wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108089*g + 1560 = 107969*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459131549 and 788?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1088) - (2 + sqrt(1088)))*-4 - (sqrt(1088) + -2 + sqrt(1088) + 2 + sqrt(1088)))**2 + -1.\nAnswer: -384*sqrt(17) + 9853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -56, -58?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -163*c. Let r(d) = 13*d. Calculate r(m(h)).\nAnswer: -2119*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4478680 and 83?\nAnswer: 4478680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 - -1391?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (-53 + 16 - -71)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -993 divided by -24.\nAnswer: 331\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**3\/3 + 5*d**2\/2 - 36*d + 11. Let q be i(8). Suppose 4*m - 88 = -4*v + q, -4*m = 0. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*o - 372006 + 93258. Does 27 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*f + 100 + 719 = -75 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d - 13. Let k be t(7). Is 6 a factor of (k\/12)\/1*24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -8 + (-6 - 14 - -50)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2. Let f(p) = 283325*p. Determine v(f(m)).\nAnswer: -240819166875*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 596 divide 655600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**19)))\/v**(2\/39)*v\/(v**(1\/3)*v)*v**(-16)*v assuming v is positive.\nAnswer: v**(60\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 74502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0 + (5 - 4 - 2)*(1 - 1 - 2) + 1 - 1 - 2 - 39 + 60 + 51)*(-13*h - 2 + 2).\nAnswer: -923*h","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 0*v + 6*v)*(-5 + 4 + 0) + (1 - 8 + 2)*(4*v - 4*v - v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49712 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 4*d. Let r be v(-4). Suppose -5*h - 25 = r, -s = 4*s - 3*h - 90. Solve -s = 4*f - f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*5\/5)\/((-5)\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1839.\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-18360)\/75)\/(2\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 16*z**2 + 20*z + 13. Let d = 71 + -56. Let i be o(d). What is the greatest common divisor of 220 and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 20, 0*r - 10 = -3*j + r. Find the second derivative of -228*s**5 - 5*s**2 - 8 + j*s**2 + 182*s**5 + 3*s wrt s.\nAnswer: -920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 34*w**2 - 3 + 100*w**2 - 3 + 20 - 19.\nAnswer: 134*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 20. Let f be (-1 - 5\/d)\/2. Solve f = -q + 6*q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + 3*h**3 - 3*h**3)*(3 - 4 + 0) + 3*h**2 - 3*h**2 + 4*h**4.\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*h + 2. Let k = -1 - h. Suppose 4*t - 7 - 5 = k. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 11. What is the remainder when 21 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 226.\nAnswer: -45.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/24131 and -14\/2147659?\nAnswer: 2147659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from {c: 1, l: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 340\/119 + 1 + -1 + -3. Let t = 2\/93 - 196\/465. Let l = 0.03 - -0.17. What is the second smallest value in l, t, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32345640 divided by 8086410.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4278200 to the nearest 10000.\nAnswer: 4280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -56*q**5\/25 - 57*q**4\/10 + 4*q**2\/5 + 11. Find t such that l(t) = 0.\nAnswer: -2, -2\/7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -5. Suppose 0 = q - 7*t + 2*t - 10, -2*q + 20 = 4*t. What is the remainder when q is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**3\/7 - 33093*x**2\/7 - 88608960*x\/7 + 14738925756\/7 = 0.\nAnswer: -5594, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1201361 by 7.\nAnswer: -171623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 806815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a. Let i be x(3). Suppose -3*f = -0*f - i. Suppose -3*q - f = -36. Calculate the lowest common multiple of q and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131109927 by 13.\nAnswer: -10085379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 1, w: 7, y: 2, f: 1, o: 5}. Give prob of sequence om.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/3934973 and -11\/52292.\nAnswer: 15739892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:40 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 30 + 4*(-4 - -7 - 2).\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-48)\/18)\/((-2)\/3). What is the greatest common divisor of p and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 19*v - 35. Let b(f) = -f**2 - 7*f + 6. Let g be b(-5). What is the remainder when 46 is divided by o(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27819 divided by 116?\nAnswer: 27819\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-7\/6)))**(1\/22)*x\/(x\/(x*x**(-34)))*x*x*(x**(-25)\/x)\/x assuming x is positive.\nAnswer: x**(-7663\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 + j + 0 + 3 + 2*j**2 - j**3. Let n be a(0). Suppose q + 2*i = -n*i + 5, 85 = 2*q - 5*i. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 4*l - 13. Let y = -34 + 25. What is the units digit of c(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4\/7, -1\/6, -5\/3, 2.5, -2\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 116948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111010 - -10101000?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 2141279*h - 4282554.\nAnswer: -(h - 2141277)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54700 - 20379. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1360 and -351.\nAnswer: -477360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221221 + -222002?\nAnswer: -2221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3 - 5. Let f = w - -1. Suppose -24 = -f*l - 2. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234 (base 9) to base 7.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 + -0.25. Let y = -2.2 + 2.5. Let m = -31 + 63\/2. What is the third biggest value in m, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12733952 is divided by 274?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + -6*(sqrt(1008) - (sqrt(1008) + -1 - sqrt(1008) - sqrt(1008) - sqrt(1008))) - (4 + sqrt(1008)*2 + 1)))**2 + 5.\nAnswer: 7680*sqrt(7) + 403461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 391 + -187. Let a = -294 + y. Let s = a - -119. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0051773 to four dps.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 7*q**2 + 7*q + 1. Let x be y(6). Solve 0 = -5*g - x + 22 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8\/3, -903 in ascending order.\nAnswer: -903, -4, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/11, 1, 4\/7, 3820, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19000277?\nAnswer: 23, 37, 83, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from {m: 1, z: 1, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/6 + 5*p**3\/6 + p**2 + p. Let r be (-176)\/8 - (-12 - 7). What is y(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5812 at least as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -360, -718, -1076, -1434, -1792, -2150?\n\"Answer: -358*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1343 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 133440*b - 890311680.\nAnswer: -5*(b + 13344)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -1)\/(8\/144). Let p be 1\/9 + 6\/y. Determine g so that 2\/9 - p*g + 2\/9*g**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 18*g**2 + 837*g - 409. What is x(-47)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 7411727?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -18. Let j = b + -6. What is the remainder when 6 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252 a factor of 3210274955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynknyk. What is prob of sequence yyky?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*t - 11*t + 5*t**2 + (-5*t + 0*t + 3*t)*(3 + 0 - 2)*(-119 + 102 + 60)*(-3*t + t + 5*t) to n*t**2 + o + w*t and give n.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**3 + 6*t**2 + 5*t - 3. Let y be l(-5). Suppose y = 2*z - 561. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -0.6, 1977, 5, -2\/5, 0.5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*b + 11 - 133 = 0, -5*x - 2*b - 574 = 0. Is x at least -132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -41?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3242231 is divided by 3242204?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -107706467 - 73733?\nAnswer: -107780200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*n - 12 + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.139574691 - 77.139535691. Let n = -76.961 - 0.039. Let k = n - c. Round k to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 189 + -94. Let l = m + -87. Let b(y) = -y**3 + 9*y**2 - 11*y + 11. Let r be b(l). Which is greater: -12 or r?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 38 + -14 + (47 - ((-2 - -2) + 2))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 450334211 to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -7540, -2112, -1 in increasing order.\nAnswer: -7540, -2112, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - q + 7. Determine a(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 230 - 221. Let d be x\/(1112\/272 - 4). What is the highest common factor of d and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 36*h**2 + 10*h + 4. Let g(n) be the second derivative of n**4 + n**3\/2 + n**2\/2 + 10*n. Let o(p) = -3*a(p) + 10*g(p). Differentiate o(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -164\/34327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from bdlbbdbelhhi.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1767*g**3 - 5*g**2 - 54*g - 107. What is the units digit of p(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -3\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5*(-9)\/((-432)\/(-60)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9395*w - 2 = -n - 9400*w, 5*n - 12*w = -27 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*c - 86 + 2106 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*c, -3*i - 23*c = -28*c - 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 99 = 3*v, -282*v + 4*l = -11383 + 1807 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k + 10 = 15*k. Which is the nearest to k? (a) 2\/67 (b) -0.5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -2343291?\nAnswer: -2343290.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13627 is divided by 46.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*x + 0*x = 7309, 0 = 2*g + 2*x - 7288. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2378, 4755, 7132, 9509, 11886?\n\"Answer: 2377*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 - 149. Let o = b + 92. Calculate the remainder when o is divided by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + 0 + (-2 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -208006764*f**5 - 37025139*f?\nAnswer: -4160135280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((2\/(-2))\/42)\/((-7)\/(-112)) and ((-2)\/(-18))\/((-2)\/(-186)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 13 = 444*k. Which is bigger: k or -48?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnoynooynnybdnnntnn. What is prob of picking 1 d and 1 o?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 2*g + 5400 = 0. Let l = 1585\/712 - 9\/89. Calculate the common denominator of l and 2\/(-9) - (7 + 5601\/g).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - 2*j**3 + j - 236*j + 236*j - 55*j**3 + (1 - j - 1)*(-j**2 + 0 + 0).\nAnswer: -56*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odo when three letters picked without replacement from {o: 4, d: 5, k: 5}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2614530639 to the power of 1\/2, to the nearest integer?\nAnswer: 51132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-6*(-2*sqrt(68) - sqrt(68) - sqrt(68)) + sqrt(68) + 5) + -1)**2 + 1.\nAnswer: 12000*sqrt(17) + 1063077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -2*i - 55 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17, -3, 27, 79, 159, 273?\n\"Answer: j**3 + 2*j**2 + j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**5\/30 - w**4\/12 + w**2\/2 - 2*w. Let t(m) be the first derivative of i(m). Factor t(s).\nAnswer: 2*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*d = 19, -8*u - d + 10 = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -5\/97901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - (-11 + -10 + 6). Suppose 7*a = 1392 + 3277. Suppose 0 = -k - o + a, -o = -l*k + 6*k + 2678. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19055088 divided by 132327?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 6*d = 8*d + 974, 0 = 4*a + 6*d - 934. Solve 104 = -a*m + 267*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5143484465.\nAnswer: 5, 7, 541, 271639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 (base 9) in base 2?\nAnswer: -1111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 993459 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 8) in base 10?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/32)\/(16\/(768\/(-6)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/3 - 85*m**4 - 1361*m**3 + 8927*m**2\/3 - 1530*m = 0. What is m?\nAnswer: -17, 0, 1, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**3 + 931*h**2 - 122*h - 11912. Calculate r(186).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 26*g - 130. Suppose -3480 + 3478 = -3*r - 2*j, -5*j = r + 34. What is t(r)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 15*u - 4. Let k(z) = 17*z - 4. What is 6*j(q) - 5*k(q)?\nAnswer: 5*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**2 - 72834*c - 18247344 = 0.\nAnswer: -248, 24526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 8)*(40 - -2). Let b = k + 535. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12a412 (base 11) to base 8\nAnswer: 616554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**2 - 2. Let d(h) = 4*h - 3. Let i(q) = 4*q - 2*q + 1 - 3*q + 0. Let x(l) = d(l) + 3*i(l). Determine n(x(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -354\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 1\/4*p**3 + 44 - 33\/2*p - 63\/8*p**2. Factor q(y).\nAnswer: 3*(y - 22)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 51 - (0 - 0)) + -188 + 188 - -9\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -221 equal to -220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p\/p**(1\/10)*p))\/p*p*p)\/(p\/(p*(p\/(p**(-3)*p))\/p))*(p**0*p*p)**(13\/7))**34)**(-1\/6) assuming p is positive.\nAnswer: p**(-6919\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (528\/(-88))\/(30\/24) + 2\/(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5370210 divided by 298345\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3*p + 44045*p**2 - 21729*p**2)*(-2*p + 5*p - 5*p) - 4*p**3 + 6*p**3 - p**3 + (-p - p + 0*p)*(-3*p + 3*p - 2*p**2).\nAnswer: -44627*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 23 + (-186 - -159) - -37?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7610955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19197776, -38395552, -57593328, -76791104, -95988880?\n\"Answer: -19197776*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 7 (c) -14 (d) -45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174*q**3 - 2*q**2 + 123*q wrt q.\nAnswer: 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 43*l**2 + 809*l - 46. What is the remainder when 136 is divided by h(-19)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/4790 and -82\/7185?\nAnswer: 14370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e + -1817?\nAnswer: -1808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (39\/(-6))\/(1\/4*2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**3 - 23*f**2 - 2 + 11*f**2 + 2*f + 6*f**2 + 7*f**3 + 140*f**4 + 8*f**2 as g*f + z*f**3 + q*f**2 + d*f**4 + h and give d.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21938 (base 12) to base 8\nAnswer: -126774","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -67093, -67121, -67199, -67351, -67601, -67973, -68491, -69179?\nAnswer: -70061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 8. Determine u(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 144 = 21. Let c be 2\/(72\/u + -2). Let w = -1 + c. Calculate the least common multiple of 2 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 3. Let x be -2 - (1 + -2 - c). Let b(d) = -4*d - 3. Is b(x) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 1:57 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + u + 30 = 0, 23737*o = 23728*o - 2*u - 54 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**2 - 17*l + 5*l**2 + 51*l + 85*l**3 + 51*l**3 wrt l.\nAnswer: 816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2232 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f. Let y(j) = 1372*j**2 + 5. Let q(u) = -48024*u**2 - 174. Let s(n) = 5*q(n) + 174*y(n). Give z(s(p)).\nAnswer: -8352*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8718343 or 8718341?\nAnswer: 8718341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 617, 1273, 1941, 2627, 3337, 4077, 4853, 5671?\n\"Answer: l**3 + 649*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-23)*i\/(i*i**(2\/13)))\/((i*i**17)\/(i\/(i*i**(-1)*i))))**(-20) assuming i is positive.\nAnswer: i**(10700\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2380.401 to zero dps.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 215.38 - 215.3800026534. Round z to seven dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/6 + 2\/(-3). Let a = m + 0. Suppose -5*q - 11 = 2*c, -c - 10 = -59*q + 63*q. Solve 4*h + c*l = 8, -h - 2*l = -a*h - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -201, -212, -227, -246, -269, -296?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*f + 9*f = -650, -2*b + 4*f = -254. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 149962162 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, -4, 3\/4, -1760, 6.\nAnswer: -1760, -13, -4, 3\/4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w + 15. Let q = 162 - 430\/3. Let u = 19 - q. Which is the smallest value? (a) -1\/7 (b) w (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 - 36 - 49)*(-2*u + 3*u + u) in the form l + y*u and give y.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2058 + -648. What are the prime factors of m?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -43768248?\nAnswer: 1\/10942062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*s + 6*s + 13 = 0, -2*a + 2*s = -2. Solve j = a*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7801382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**(-1\/3)*s)))**30*(s\/s**(1\/2))\/s**(1\/2))\/((s*s\/s**(-1)*s)**(-1\/7)*(((s\/s**1)\/s)\/s)**(2\/107)) assuming s is positive.\nAnswer: s**(15436\/749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 25 = 3*u - 3*y, -u = -3*y - 35. Let o be u\/6*57\/38. Find z, given that -4\/3*z**o + 0*z + 4\/3*z**3 + 4\/3*z**2 - 4\/3*z**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -19*d**4\/2 + 27*d**2 + 123*d - 118. Let j(c) be the first derivative of u(c). Find the first derivative of j(w) wrt w.\nAnswer: -228*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*i - 325 = -27 + 226 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-1092)*15)\/(2160\/336)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -5, 4\/5, -11, 124 in descending order.\nAnswer: 124, 4\/5, -0.2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-15) - (-4)\/(-6). Let k = 6 + -7. Which is smaller: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -60. What is the remainder when 125 is divided by 1612\/h - 2\/(-3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31, -123, -277, -493, -771, -1111, -1513?\n\"Answer: -31*g**2 + g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 311005928 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 14*q - 1. Let x be p(-13). Let y = -8 + x. Let b(v) = -4*v - 2. Let c be b(-1). Which is bigger: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1188275 and -62\/8195?\nAnswer: 1188275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120120 - -1221?\nAnswer: -111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -4. Let z(l) = -2*l**2 + 4*l + 5. What is z(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8))**(-21)*(w\/(w**(2\/111)\/w))**35 assuming w is positive.\nAnswer: w**(26348\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**3 + 2*h**2 + 6*h + 3. Let z be x(5). Suppose -2405*s + 5047*s - 2475*s + 48597 = 0. Which is greater: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**3\/8 - 6063*c**2\/8 + 204951*c\/8 + 211015\/8 = 0.\nAnswer: -1, 35, 6029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i + i)*(-5*i**2 + 0*i**2 + 0*i**2)*(-7*i**2 - 3*i**2 + 2*i**2) + i**5 - i**2 + i**2.\nAnswer: 41*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + w + 3, -5*w - 1 = 2*o - 2. Which is the biggest value? (a) o (b) -17 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3629306?\nAnswer: 2, 1814653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 5379935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 86\/7 + (-4)\/14. Let z = 8 + w. Suppose -t + 2*t - z = 0. Solve 3*u + 5*f - t = 4*u, -u - 4*f + 7 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 283\/5 + -56. Let r = -4.04 - -4. Let i = r + -1.96. Is i greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -19\/70041?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -58. Suppose o - 50 = -4*h, h - l = 2*o - 60. What is the greatest common factor of o and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 556, 1122, 1672, 2200, 2700, 3166, 3592, 3972?\n\"Answer: -p**3 - 2*p**2 + 579*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -29, 0, -2, 4 in decreasing order.\nAnswer: 4, 0, -1, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -338? (a) 0 (b) -0.01 (c) -163 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 7:48 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10356283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 30 = 0, -r - 39*m + 35*m = -2056. Is 127 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 2. Let p be o(-2). Suppose -2*h - 208 = -p*h + 2*i, -47 = -h - 2*i. Let k = -46 + 64. Calculate the lowest common multiple of h and k.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 6\/(-2))*2. Let d(k) = -19*k - 1. Let a be d(-3). Let q be 3\/(12\/a) - 0. What is the greatest common factor of c and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**2 + 4. Let i(g) = -g**2 - g. Let p(w) = 4*i(w) + m(w). Calculate the smallest common multiple of p(6) and 9.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4974048 to the nearest integer?\nAnswer: 2230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5989 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjrrrjrjjjrjrrrrjj. Give prob of picking 3 r.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = 3*f - 14, v + 11 = 3*f. Suppose -5*s = 2*l - 7*l + 410, -3*l + 260 = f*s. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 113 + 108 - 4*f - 224)*(-7*f**2 + 2*f**2 - f**2).\nAnswer: 18*f**4 + 24*f**3 + 18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 36529325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.8 - -3. Let o be 3 - 2\/5 - 2. What is the closest to h in -1, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -11*d - 8*d. Suppose 0 = -d*o + 11*o + 42836. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggmgmmg. Give prob of picking 3 g.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 88, -2\/3?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -o. Suppose 19 + 37 = o*r. Let n = r - 13. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {c: 7, z: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66350 is divided by 4694?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -17. Let o be (-2)\/5 - 48\/d. Let t be (10 + o - 3)\/(-1). What is the third biggest value in 3\/2, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*t = 6 + 19, 4*z - 3*t + 15 = 0. Suppose 5*l - l - 44 = z. Suppose 130*j + 132 = 133*j. What is the greatest common factor of j and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1251 - -10359. Let a = m + -3751. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221 + -313002?\nAnswer: -312121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3028 or -239200\/79?\nAnswer: -3028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3605 (base 9) in base 10?\nAnswer: 2678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*726\/(-616)*(-301)\/258?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t - 5*b = 570, t + b - 116 = 0. Let u = t - -12. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 - 228*y\/7.\nAnswer: 2*y*(y - 114)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 + 7 = 0. Solve -4*b - 3*x = -0*b + 8, 0 = -5*b - z*x - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:38 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - 162*x - 116*x + 150*x + (2*x**4 - 3*x**2 + 3*x**2)*(6 + 0 - 3) - x**4 - x**4 + 3*x**4.\nAnswer: 9*x**4 - 128*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4\/6 + 152*c**3\/3 + 13007*c**2\/6 - 853154*c\/3 - 871310 = 0.\nAnswer: -178, -3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*f**3 - 42*f**3 + f - 45*f**3 - 46*f**3.\nAnswer: -2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a century in months?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9660678.3 times 4?\nAnswer: -38642713.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oloosomseomomellsoss. What is prob of sequence me?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7223, -28912, -65073, -115706, -180811, -260388, -354437?\n\"Answer: -7236*o**2 + 19*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/(-16) + (-1)\/4. Solve -5*k + 9 = -h*w - 0*k, -k = -4*w + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2 + 276*o - 864 = 0. What is o?\nAnswer: -72, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*s**2 - 2841*s\/7 - 8430\/7.\nAnswer: -3*(s + 5)*(77*s + 562)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/(-4))\/((-4)\/(-48)). Is k bigger than 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven halves of a second?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 42006 and 42005 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 21*p - 22. Let b be f(22). Suppose b = -5*o + 20. Solve 1 = 3*z + 4, -o*w - 1 = -3*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = -a - 6 - 24, 2*a = 4*w + 12. Solve 38*d - 45*d = a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (226\/(-8))\/((25\/5)\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**4 + 256*z**3 + 4096*z**2 = 0.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(-662*l + 855*l + 1277*l + 1180*l - 367*l) to the form b + z*l and give z.\nAnswer: -2283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 289595803?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.45563 - 3.46. Let p = a - 202.29563. Let h = -173 - p. Round h to 0 dps.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-294)\/735*(-15)\/(-12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**3 - 4*v**3 - v**4)*(0 + 0 - v) + 2*v**5 + 0*v**5 + v**5 + (-3*v**2 + v**2 + 0*v**2)*(-2 + 2*v**3 + 2) + 30*v**5 + 32*v**5 - 51*v**5.\nAnswer: 11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -433\/148 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 11:23 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*s + 2714 - 2706, 21 = 3*s - 3*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x + 3. Let n be w(5). Let g be (-2)\/n - 55\/(-210). Sort g, 4\/7, 3\/5.\nAnswer: g, 4\/7, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 840? (a) 71\/84 (b) 0.2 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 12:38 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.003 + 0.003. Suppose 0 = 2*k, -s + 2 - 14 = 3*k. What is the closest to s in x, -2, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-215)\/(1075\/25)*-3*7\/5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -168 - -318. Suppose -5*h + 2*v - c = -9*h, 0 = 5*h + 2*v - 186. Let r be 1\/4 + 279\/h. Solve -r*f = -3*f - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 85*p - 11 - 90*p + 21 + 2.\nAnswer: -5*p + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-6) - 0)\/2. Let q = -0.2 + 0.3. Which is the nearest to -1? (a) 1 (b) q (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51982, 103962, 155942, 207922, 259902, 311882?\nAnswer: 363862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 38 = -50 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 2. Let x be t(-1). Suppose 70 = -2*m + 28. Let o be (18\/m)\/(2\/(-14)). Calculate the highest common divisor of o and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*j + 31, -11 = 5*j - 4*x - 41. Suppose p + p + 3*o = -27, 0 = -j*p - o - 17. List the prime factors of (-7 - 0)*p\/21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.41 - 0.243\nAnswer: -0.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r**(-5)*r))\/(r\/(r\/(r**(-4\/3)*r))))**(3\/20))**25)**(-25\/4) assuming r is positive.\nAnswer: r**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lutttbhtjl. Give prob of sequence tlj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 363 + -519. Let k = z - -193. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 10 - 52*272\/(-960) - (-28)\/(-12).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30 + 140bd?\nAnswer: 140ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32211, 32146, 32081, 32016, 31951?\n\"Answer: -65*t + 32276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by 107\nAnswer: 55\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 5*x**2 - 4*x - 3. Let h be k(-4). What is the remainder when -5*6*h\/6 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*w + 5*i, -2*w = 2*i - 7 - 9. Suppose -w*v = -5*y + 45, 13 - 5 = -2*v. Solve 0 = -j + 2*j + 5*a - 1, -y*j + 2*a + 5 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 4*g**2 - 5*g + 3. Let a be z(-5). What is the units digit of (-1)\/((a\/(-7))\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 3 (c) -5\/81 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**5\/20 - g**4\/3 + g**3 + 5*g**2\/2 - 32*g. Calculate j(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -1 - (35 + -24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*y = -176*y - 3*d - 4751, -4*d - 3572 = -3*y. Is y a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 15*j - 9*j = 0. Let g(b) be the third derivative of -11\/270*b**5 + j*b**3 + 6*b**2 + 1\/54*b**4 + 0 + 1\/60*b**6 + 0*b. Factor g(z).\nAnswer: 2*z*(z - 1)*(9*z - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13401377, 53605507, 120612393, 214422035, 335034433, 482449587, 656667497?\nAnswer: 857688163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -20 + 62. Suppose 6*n + 22 = f*n. Suppose n - 18 = v. What is the lowest common multiple of 7 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 4*f = -21. Suppose 0 = -f*u - h + 211, 0 = 2*u - 3*h - 188 + 29. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89254016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 - 57. Suppose -g*u + 2*u - 32 = 0. Put -2\/3, 3\/4, -3, u in increasing order.\nAnswer: u, -3, -2\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -16473*g**3 + 17*g**2 + 54*g - 144. Let o be b(-12). Round o to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17319468167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6*(27610\/1925 + 2\/35).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 84 = -g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 99841200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**3 + 92*a**2 + 30*a + 43. Let j be i(31). Calculate the greatest common factor of 48 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -364 times 2?\nAnswer: -728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 2 (c) 6 (d) 5\/7 (e) 1\/281 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1898521 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -7366.\nAnswer: -7365.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 17*y**2. Let j(a) = 15780*a - 2. Calculate j(s(h)).\nAnswer: 268260*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39845 is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((33 - 38) + 2 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q - 709. Let v be n(0). Let k = v + 1796. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + q - 10. Let s(t) = 2120*t**2 - 100*t + 1000. Determine -s(j) - 100*x(j).\nAnswer: -2220*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*i**3 - 3*i**2 + 6*i**4 - 3*i**4 + 13*i**3 as t + s*i**2 + c*i + j*i**4 + x*i**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 6*v**2 + 8*v + 7. Let r be u(-7). Suppose r = 2*o + o. Suppose o = 5*n - 2*n + 3. Which is greater: -1\/11 or n?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 6:09 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -5. Calculate the highest common divisor of w and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46*j**2*x + 1595*j*x + 25*x + 15191 wrt j.\nAnswer: -92*j*x + 1595*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 - 15*g**3 - 6*g**3.\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**2\/7 + 6695*n\/7 = 0.\nAnswer: 0, 6695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8, 46, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7599 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**3 + 6*g**2 - 2*g + 6. Let u(k) = 4*k - 11. Let h be u(4). Let s(d) = 3*d**3 - 5*d**2 + 2*d - 5. Give h*m(r) + 6*s(r).\nAnswer: 3*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + (sqrt(25) - sqrt(225))*-1 + 1*sqrt(100))\/((sqrt(500)*5)\/sqrt(4)).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 0, 3*q = -q + 2*b + 2*b + 4. Let a(o) = 28*o - 2. Calculate a(q).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101011001 - 110?\nAnswer: 11101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8257.1069 - -8265.1. Let a = o + -8. What is a rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 15, 2, -0.5, -7, 0.42, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*p**2 - 612*p**4 + 28*p**2 - 102*p**2 + 36*p**2 - 1405 wrt p?\nAnswer: -2448*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 0) + 449 + -9 + 10. Suppose -8*y = -y - u. What is the greatest common divisor of y and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.403 - -0.403001182. What is i rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**4 - 7*t**3 - 5*t**3 + 3*t**2 + 12*t**3 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4\/(d*d**(-4\/5)\/d*d)*(d\/(d\/((((d\/d**(-1)*d)\/d)\/d)\/d)))\/((d\/(d\/((d\/d**(1\/3))\/d)))\/d*d*d))\/(d*d**(-1)\/d*(d**(4\/5)*d)\/d)**29 assuming d is positive.\nAnswer: d**(134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -471*n**6 - 2*n**3*x**3 - 9*n**2*x**3 - 19*n**2*x**2 + 2*n**2 + x wrt n?\nAnswer: -56520*n**3 - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 855032.21 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*y - 756 = -18*y. Let f(c) = -14*c + 2. Let l(b) = -15*b + 3. Calculate y*f(i) - 6*l(i).\nAnswer: -8*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-24)\/4 + 3 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtytttx. Give prob of sequence xtx.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -464\/115807?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11202 (base 3) to base 7\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -47*u - 149. Let i be (-492)\/30 - (1 - (-6)\/(-15)). What is the units digit of n(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -630 + 634. Let k(p) be the third derivative of 4*p**2 + 0*p + 0 + 1\/24*p**l - 4\/3*p**3. Give k(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221000110 - 1?\nAnswer: 10221000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 17241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*i = -2*i - 76, 4*l - 4*i - 72 = 0. Let a be (84\/l)\/(6\/8). Suppose -22*p + a*p = -2685. What are the prime factors of p?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.4, -3, -2\/63, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 1:41 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1.1, -3\/14 in descending order.\nAnswer: 1.1, -3\/14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/5 - 21*h**4\/5 + 58*h**3\/5 - 68*h**2\/5 + 36*h\/5 - 7\/5 = 0. Calculate h.\nAnswer: 1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55877 and 552474.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47 and 0.03476?\nAnswer: -1.63372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79614965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-3))\/1 + 4. Suppose p = -o - 0 + n, 2*o - p = -1. Solve -5*y - 18 + 3 = o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j + 67*j - 37*j + 67*j to the form m*j + l and give m.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w + 149. Calculate u(18).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (194\/(-4) - -47)\/((-66)\/(-8))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -95, -144?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*7*39\/(-78)*(-72)\/42.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9231? (a) -7\/6 (b) 3 (c) -4 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-6200)\/(-93))*-4\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 13*d + 1813. What is the units digit of a(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 3*v + x + 23, -5*v - 31 = -2*x. Let s be (-19)\/v + -6 + 220\/35. Solve -5*d = -3*k, k + 20 = -2*d - s*d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/30 and 149\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5\/3 + 60502*w**4 + 726044*w**3\/3 + 1089076*w**2\/3 + 242018*w + 181514\/3.\nAnswer: -2*(w - 90757)*(w + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 8*w + 32 = 4*u, 3*u - 38 = 4*w. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11277746 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 24 = -6 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.5912881 to 0 decimal places.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 3*t + 2*m, -234*t + 116*t - 3*m + 22 = -116*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4 + (-27)\/(-162)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.276361 and 3.87.\nAnswer: -1.06951707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*o - 67 + 35 = 0, 2*o = -8. Solve -4*w + z + 6 = 0, -d*w + 3*w = 5*z + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**3\/6 + 701*q. Let m(d) = 12*d**2 + d**2 + 3*d**2. Give z(m(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120664.\nAnswer: 2, 15083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -18. Suppose x*v + 6 = 1. Let g be v\/(-2) - 14\/(-4). Solve 0 = -4*k - k + 15, 0 = 4*c - g*k + 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3 + 29. Let f be (-33)\/(-8) - 15\/120. Suppose 0 = f*z + 46 - 170. Calculate the remainder when z is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**8\/28 - 27*b**6\/20 + 5*b**5\/3 - 5*b**4\/24 - 1546*b**2. What is the third derivative of k(t) wrt t?\nAnswer: -720*t**2 - 972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59228 at least 65703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -12 (b) 0.16 (c) -0.3 (d) 130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/13)\/(c**(-4\/3)*c))**(-46) assuming c is positive.\nAnswer: c**(-184\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10581089.3 rounded to the nearest one thousand?\nAnswer: -10581000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(931) + -1))**2*-1 + ((1 + sqrt(931) + sqrt(931))*5 - (-2*sqrt(931) + -2)**2).\nAnswer: -18635 + 238*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 1:31 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -72990.017 and -4.\nAnswer: -72994.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + -5 + -10 + (11 - (-12 - -14))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.27499 centuries in decades?\nAnswer: 292.7499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*j - 3*j - 15 = 0, 2*h + 2*j = -10. Let f(z) = 3*z**3 + 7*z**2 - 25*z + 57. Let y be f(8). Suppose h = o - 8*o + y. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*j + 9*j - 12*j - 9*j.\nAnswer: -117*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + s)*(2 - 4 + 1) - 12 + 26*s - 36*s + 12*s to the form r*s + x and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90 - (-30360)\/368)\/(3\/84 - 4\/(-14)).\nAnswer: -70\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4085493 is divided by 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 283.06+-28\nAnswer: 255.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-244)\/11 - 18\/(-99)) + -2)\/((-43)\/(-86))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -279 - -283. Let j = 0.05 + -0.15. Which is the fourth biggest value? (a) l (b) -0.4 (c) 3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109945 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: Let z = 12 - 12. Solve z = -0*f - 3*f + 5*t - 24, 0 = -4*f - 4*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) -0.2 (b) 0 (c) 0.2 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 3*m + 3. Let k be c(11). Factor -k*x + 155*x - 199*x**2 + 75*x**3 + 188*x - 161*x**2 - 48.\nAnswer: 3*(x - 4)*(5*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + -5*(sqrt(704) + 2) + 5)**2.\nAnswer: 640*sqrt(11) + 17666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -10*z**2 + 413*z + 853. Give p(44).\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 180\/(-35) - (-283)\/(-77). Let m = 568\/143 + h. Suppose 4*u = 4 - 16. Sort 1, m, u in increasing order.\nAnswer: u, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 1\/2*m**4 + 0*m**6 + 0 + 0*m**5 + 0*m**3 + 0*m**2 - 5\/21*m**7 - 8*m. What is the third derivative of r(y) wrt y?\nAnswer: -600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + (-606)\/(-588))*8\/(-6312). Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/5)\/o**4*o*o*o**15*o*o**(-7\/6) assuming o is positive.\nAnswer: o**(373\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-102 - -102)\/(-1 - 0). Solve 0 = -7*f + 11*f - 4*c - 4, b = 5*f - 4*c - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g + 1. Let d be w(1). Suppose 0 = -5*i + 2*b - 19, -2*b + 4*b = 3*i + 13. Let p be d\/(-3) - (-2)\/i. What is the highest common factor of 5 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22667070.\nAnswer: 2, 3, 5, 755569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 126 + -14?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 - 14*z - 31. Let t be c(-16). Let k = 314 - t. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 2187*q + 8732. Let a be j(-4). Let x = -131559\/47 - -2799. Is x bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -571457 + 1711?\nAnswer: -568646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1293192806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 plus -3974604?\nAnswer: -3974642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-6 - (1 - 6))) + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yydyyyyyyyyyy. What is prob of sequence yyy?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -3 (c) 5 (d) 0.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 + 0)*(-3 - 5 + 5)*(l - 3*l + 4*l) + (2*l + 1 - 1)*(2 - 3 + 0) to v*l + t and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 270133*o**3 - 5*o**2 - 22445 wrt o.\nAnswer: 1620798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8184202, 16368267, 24552332, 32736397, 40920462?\nAnswer: 49104527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, v: 4, z: 2, l: 1}. Give prob of picking 2 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9792 divided by -72.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*-3*(-4)\/(-12). What is the biggest value in 2, p, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 111. Calculate the highest common factor of g and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 46*v**2 + 366*v - 16. Let b be i(-8). Solve b = 4*d - d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 33. Let d(c) = 3*c**2 + 13*c + 21. Let a(i) = i**2 + 4*i + 7. Let r(y) = n*d(y) + 17*a(y). Calculate the smallest common multiple of r(-9) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + i - 7 - 7 = 0, 4*i - 20 = 0. Suppose 1 + 5 = -o*w. Let d be w\/(-3)*6\/10. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2 - 102*p + 1008 = 0.\nAnswer: -42, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 + 6*v - 5. Let z(b) = -b**2 + b - 1. Let f(j) = m(j) - 4*z(j). Find p, given that f(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 878\nAnswer: 1\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 6. Let z(w) = -w - 14. Let h(o) = 7*g(o) - 3*z(o). Let y(l) = -10*l + 5. Let c(j) = 5*j - 3. Let d(i) = -5*c(i) - 3*y(i). What is h(d(f))?\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1462191 and 27.\nAnswer: 13159719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {g: 11, v: 2, f: 1, t: 3, b: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12\/6047 - 17037\/556324. Suppose -2*l + 3*w = -5*l - 9, 4*w = 3*l - 5. Is m equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/453 and -41\/384295.\nAnswer: 1152885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7\/22 + 39\/154. Let m = 6 - 5.9. Let n = -5.5347 + 0.5347. Which is the closest to v? (a) 1\/2 (b) n (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 550 divided by 110\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3850.2 nanometers to micrometers.\nAnswer: 3.8502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2. Let y(x) = -4*x + 21. Give -3*f(p) + y(p).\nAnswer: -4*p + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -49*n + 74. Let v(c) = 1441*c - 2145. Determine 88*s(b) + 3*v(b).\nAnswer: 11*b + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*t + 2*k - 513, -4*k = -3*t + 380. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3007833710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-4)*-4 - 9. Let x be (8\/f)\/((-6)\/(-18)). Let u(h) = h**2 + 4*h + 6. What is u(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 7:47 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6507 and 61\/20244.\nAnswer: 182196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -270\/15269 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17297, -34602, -51909, -69218, -86529, -103842?\n\"Answer: -i**2 - 17302*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1 + 0 + 0*p + p. Calculate the least common multiple of g(5) and (2\/5)\/(60\/900).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (-3 + 2))\/(-294 + 296).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 149 = -5*l + 35 - 94 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(91\/28))\/(3 - 348\/120)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 2:04 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -12, -15*s + 20*s - 3*x - 84 = -0*x. Let p = 225 + 88. What is the remainder when p is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59\/4? (a) 37 (b) -31 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (148*z - 39 - 82 + 120)*(-2 + 1 - 1) to the form n*z + y and give n.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*i + 6*i - 7*i)*(9*i - 3*i - i) to s + y*i + m*i**2 and give m.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7681714, 15363428, 23045142?\nAnswer: 30726856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmem when four letters picked without replacement from {e: 7, b: 2, m: 9}?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c9 + 4?\nAnswer: -c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31248 is divided by 9920?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6486811*c**2 - 11*c**3 + 6486803*c**2 - 7*c**3 - 12973614*c**2.\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*c - 9. Suppose 0 = -3*r - 3*i - 27, 2*i + 3*i = 5*r + 75. Calculate the remainder when (r\/c - -2) + -2 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wii when three letters picked without replacement from {w: 2, i: 11}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10764 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 13. Let z be m(-10). Let t = z - 22. Solve t = -4*p + 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + (-3 - (2 - 4)) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**6\/360 - 5*w**3\/3 - 2*w**2 - 2*w + 5. Let r(g) be the second derivative of a(g). Let x(v) = -21*v**2. Give x(r(o)).\nAnswer: -21*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.3, -0.2 in decreasing order.\nAnswer: 0.3, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y + 23*y**3 - 47*y**3 + 14*y**3 - 5*y.\nAnswer: -10*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -3*w - 5*c + 34, 3*c = -5*w + 34. Solve 0 = -6*p + w + 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k = 0. Suppose -d - d + 4 = k. Suppose 2*u = 4*m + 52806, 4*m - d*u + 66006 = -m. What is m rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -6 (b) -4 (c) 3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 1 + 28\/4. Suppose r*l + 5*i - 95 = 0, -3*l - i - 4*i + 59 = 0. Suppose 24 = -2*p + 78. What is the remainder when p is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 69. Is y != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -16. Let o = x + 7. Does 5 divide 1\/o + (-123)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 31 + -11 - (-1 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/283 or 189?\nAnswer: -2\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - v + 1. Let d(b) = 4*b**2 + 6*b - 5. Let r = -30 + 24. Determine r*w(k) - d(k).\nAnswer: 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/31*((-255)\/4080)\/((-1)\/(-16)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8203948, -16407887, -24611830, -32815777, -41019728, -49223683?\nAnswer: -57427642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 291622367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g + g - 9*g + 2 - 6*g + 17*g. Let u(a) = 1. Let b = 25 + -13. Suppose 0*f = 4*f - b. Calculate f*u(c) - r(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -106 - (2*12\/8 + 1). Let k = -42 - r. Suppose 2*t - 110 = -5*v + 7*t, t - 63 = -4*v. Calculate the highest common factor of v and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 4039*g**3 - 2772. Let k(p) = 2*p**2. What is j(k(z))?\nAnswer: 48468*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1114798*c**3*r**2 + c*r**2 - 141*r**2 - 5*r + 147 wrt c.\nAnswer: -3344394*c**2*r**2 + r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84.01 + -87. Let s = -0.01 + k. Let n = 3 + s. What is the biggest value in 0.4, n, -2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-10\/9))*s\/s**(-12))\/(s**(2\/15)\/s)**(-2\/17) assuming s is positive.\nAnswer: s**(9017\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -8\/407, -0.5, -2, -4, -0.23, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbvvqbqbvqjjv. Give prob of sequence bqq.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**3 + 0*q**3 - q**3)*(q - q + q) - q - 4856*q**2 + 4856*q**2 + 22*q**4 - 2*q**4 + 4*q**4 + q**4.\nAnswer: 19*q**4 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -13\/5*x**5 + 32\/15*x**3 + 1\/5*x**4 + 260*x + 4\/3*x**6 - 8\/5*x**2 + 0. Solve q(t) = 0.\nAnswer: -1\/2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (-2*sqrt(187)*-2 + sqrt(187)))\/(1*sqrt(11)*-2).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 84\/14*2\/(-12). Let b = 12 + -7. What is the closest to h in b, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -23663715278?\nAnswer: 23663715278.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 600397\nAnswer: -48\/600397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) -5 (c) -32.1 (d) 9.21 (e) -1 (f) 5 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - 5*a - 3. Let o be m(4). Suppose 0 = 3*s + l - 9, o = 3*s + 2*l - 0. Suppose q - 2*q + s = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a + 8. Find the third derivative of 2*b**4 + 11*b + 3*b**a - 5*b**2 - 11*b wrt b.\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -308, 112 in decreasing order.\nAnswer: 112, 1\/2, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 177270361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -6893*l**4\/12 - 12211*l**3\/6 + 5519*l. What is the second derivative of b(t) wrt t?\nAnswer: -13786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 2\/17 (c) 86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7752 - -13921. What is the highest common divisor of 398 and t?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2382, 2 in descending order.\nAnswer: 2, -9, -2382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 30. Differentiate -8*x**3 - w - 6 + x**4 + 8*x**3 wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 7.7. Let h = q - 8.3. What is the closest to h in 3, -4\/3, -0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1482 by -132.\nAnswer: 247\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3299 - -3347. Suppose 10*f - 6240 = 5*f. Calculate the remainder when 1\/(3 + f\/(-417)) is divided by b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*10\/(((-8)\/60)\/(9\/(-135)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*h - 460*h + 77*h + 13*h + 13*h + 11*h + (1 - 5 + 3)*(2*h - 4*h + 0*h) in the form o + k*h and give k.\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - o = -c + 49, -5*o - 5 = 0. Let r = -42 - c. Let t = r - -57. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 11*z**2 - 28*z + 485. Is 72 a factor of a(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.7 - -1.4. Let x = 2 + 4. Let m = x + -3. Put 2\/11, m, o in descending order.\nAnswer: m, 2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 3*c. Let y = -13 + 17. What is the smallest common multiple of 2\/(3*y\/72) and o(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-10 + 16 + -14 - 30).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -819, -1843, -3287, -5157, -7459, -10199, -13383?\nAnswer: -17017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007367 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927677.\nAnswer: 927677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2. Let l(p) = 3*p**2 - 2*p - 4*p**2 + 2*p. Determine l(c(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 2060?\nAnswer: -2063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02253284 rounded to five dps?\nAnswer: 0.02253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 9:55 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 1:56 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 + 6*u - 3. Let q be b(-9). Suppose q = 5*p - 128. Let r = 46 - p. What is r rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/13))\/(o**(-1\/7)\/o)*o*o\/o**(-2\/55)*o*o\/(((o**(-4\/5)*o)\/o*o)\/o) assuming o is positive.\nAnswer: o**(34161\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (-25)\/(-10))*2. Calculate the lowest common multiple of 53 and (i + 2)*(0 + -3).\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36029 is divided by 17984.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 + 44*k + 532. Determine u(-9).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, i: 14}. Give prob of picking 4 i.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 449.742 to the nearest 10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/28)\/(2\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8109 - 24894 = -5*l, l + 5*q = 6619. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21333.0532 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 29*h + 432. Calculate q(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + p = -41 - 27, b - 5*p - 28 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 z when four letters picked without replacement from {z: 3, x: 4, e: 7}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + sqrt(208) + (sqrt(208) + sqrt(208) + sqrt(208) + 1)*6 + sqrt(208) - (sqrt(208) + 2 + 5))**2 + 1 + 5.\nAnswer: -160*sqrt(13) + 83207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**0)\/v)\/v)**12 assuming v is positive.\nAnswer: v**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 - 1. Suppose -1 = 5*o + 4*n, 0 = -o - 4*n - 1 - 12. Suppose -m = -4*s - 3, -4*s - o*m = -2*m + 5. What is k(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-6*(-4)\/(-40)*20\/(-90).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -840, -6871, -23286, -55293, -108100?\n\"Answer: -868*u**3 + 16*u**2 - 3*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 17\/69 - -955\/138. Find the common denominator of b and (-11)\/(-10) + (-21)\/28 + 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24.107 + 0.107. Put p, -1, 1, -2\/5 in decreasing order.\nAnswer: 1, -2\/5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 12*d + 20. Suppose -5*n + 5*t + 40 = 0, 0 = -5*t - 19 + 29. What is q(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 86 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -4 (c) 1 (d) 18\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 49 (b) 4 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/((-108)\/126 + 1\/(-7)). Suppose q + t*q - 10 = 5*k, -5*q + k + 2 = 0. Solve q = 5*x + 13 + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 206, 4, -2, -54, 7, -1 in descending order.\nAnswer: 206, 7, 4, -1, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - o - 1. Let w(m) = -2*m**2 - 6*m - 6. Let h(v) = -3*s(v) + w(v). Let l be h(4). Let f be l + 0 + 12\/30. Put -1, f, 2 in decreasing order.\nAnswer: 2, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1980\/(-9504)*(-3)\/(-25)?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 3.158.\nAnswer: 2.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6*r = -7*r + 5, 0 = -3*p + 4*r - 20. Solve p = -5*f + 25 - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27)\/9*(-16)\/120. Put 1\/5, 5, o, 0.5 in ascending order.\nAnswer: 1\/5, o, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 320*k - 715 - 191*k - 160*k - 54*k**3 wrt k.\nAnswer: -162*k**2 - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvhm when four letters picked without replacement from {s: 2, h: 1, m: 1, v: 1, a: 1, t: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 704 + -880. Which is greater: g or -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2120*y - 6340*y + 2116*y + 2119*y.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13842 and 6143.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, l: 1, z: 1, d: 2, u: 12}. Give prob of picking 1 l, 1 z, 1 o, and 1 u.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*a = -13*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 17*z + 20. Let t be v(-16). Suppose -t*m + 2181 = 593. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + (-29 - 30) + 29?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2123316 or -2122820?\nAnswer: -2122820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 14) in base 15?\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 + 13*b - 10. Let z(i) = -2*i**2 - 4*i + 3. Calculate -2*y(t) - 7*z(t).\nAnswer: 2*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1887776, -3775613, -5663450, -7551287, -9439124?\nAnswer: -11326961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/(-60))\/(-1*10))\/(8\/(-48)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2784 and 44\/597951.\nAnswer: 19134432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-630)\/147)\/(6\/(-21)). Let h(x) = -x - 1. Let s be h(-7). Calculate the highest common divisor of f and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(132))\/sqrt(6))\/sqrt(11) + -2 + 0 + (1*sqrt(72) - sqrt(2))**2 + -4.\nAnswer: 2*sqrt(2) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 13 = -4*h - 43, 0 = 3*o + 4*h + 35. Let q(u) = u**2 - 25. Calculate q(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(297) + -1*sqrt(297) + sqrt(297)))\/(-4*sqrt(9)*1))\/(sqrt(66)\/sqrt(6)*-6 - (sqrt(11) - (sqrt(44) + sqrt(11) - sqrt(11))*6)).\nAnswer: 3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2. Let w(g) = -9*g**2 + g**2 + 94*g - 94*g. What is w(u(c))?\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261 divided by -3.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 24668536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y - 12 = 0, g + 6 = 3*y. Let t(h) = -h**2 + 2*h. Let d(z) = -3*z**2 + 5*z. Let o(n) = g*d(n) - 15*t(n). Let i(a) = 14*a**2. Calculate o(i(k)).\nAnswer: -588*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -105*v**2. Let p(a) = -18*a**2 - 12*a + 12. Let f(j) = -2*j**2 - j + 1. Let q(h) = 12*f(h) - p(h). Give o(q(x)).\nAnswer: -3780*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.19 + -0.14. Let j = s - -6.95. Let x = 9 - j. Put -3\/5, -3, x in ascending order.\nAnswer: -3, -3\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 4*m + 7. Determine p(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*k + 3 + 9, 3*i - 4*k - 22 = 0. Suppose -3*s = 4*t - 259, -i*t + 3*s = -123 - 2. Is 32 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -14*x**3 + x**2 + 3*x - 2. Let w be t(-3). Let b = -79 + 44. Let v = b + w. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9489 bigger than -4628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/50*(-4)\/(-6). Let y = -2539\/21 + 121. Which is the second biggest value? (a) 0 (b) t (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43245 and 48987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3cb57 - -5?\nAnswer: 3cb5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 8:34 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62624*z**3 + 11073*z**2 wrt z?\nAnswer: -375744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 725768 and 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*k - 17 = 0, 4*s - 64 = 8*s - 4*k. Suppose -3*h - 4 - 20 = 0. What is the units digit of h\/5*s\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 62.\nAnswer: 9\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 861 - 735. Calculate the smallest common multiple of x and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 15. Let n = 5 - 11. Let p = n + k. Solve -o = -p*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-2 + -8 - (-1 + (0 - 13))) - 12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 1 + 1 - 8*m**2 + 3. Let w(q) = -q**2 + 27*q - 58. Let k be w(25). Let j be v(k). Solve -3*o + 4*g + 0 = j, 0 = 5*o + 5*g + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 182 and 2?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 2*x**2 + 2*x + 1. Let v(y) = y**2 - 6*y - 9. Let b be v(7). Let c be z(b). Is 8 a factor of (c + -1)\/((-8)\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1222*u + 4894. Determine q(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -1. Let b be 50\/3*q\/4. Solve 2*f = -3*f + b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 610880 and 179280.\nAnswer: 16493760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88228 - 88237 - 88229 - 2*a - 88234 + 441171 - 88243.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 32467*h**3 + 37890*h**3 - 8478*h**3 + 0*h.\nAnswer: 61879*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5854 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 68 = -h - 78, 0 = -5*b + h + 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21472 and 27632512.\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-160)\/(-324))\/(-10))\/((-5)\/2*3932\/(-4915))?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 + 18. Let l(p) = 25*p. What is s(l(q))?\nAnswer: -1250*q**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -11*j - 5. Calculate the remainder when 49 is divided by s(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19050191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcqq when four letters picked without replacement from {q: 13, g: 3, c: 1}.\nAnswer: 39\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2992816.9 - -2992818.6999917. Let v = 1.8 - d. What is v rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14370 + 13063. Is t <= -1307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3905, 3925, 3945, 3965, 3985, 4005?\nAnswer: 4025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4*z = 32, 3*w + 965*z - 961*z = 10 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 411560 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 3*f - 59, -1019*f - 2*v = -1020*f - 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 - 2)*(-x + 4*x - x) + 0 + 0 - x + 9 - 24*x + 9*x + 17*x to the form f + l*x and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 4:44 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/22*(-2 + 3). Which is the second smallest value? (a) 5 (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7797 + -7797. What is the smallest value in -1, q, -0.2, -809, -3?\nAnswer: -809","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**2*x - 13428509*l**2 + 6925*l*x - l - 6*x + 2 wrt l?\nAnswer: -4*x - 26857018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 443 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 352041449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 6\/(-5))\/211. Let x = t + 131911\/6330. Calculate the common denominator of x and -13\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/937392 and -1\/1770.\nAnswer: 4686960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**3\/3 + 3*f**2 + 6*f - 3. What are the prime factors of h(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322422 divided by 11118.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r + 0*r)*(-5*r**3 + 4*r**3 + 9*r**3 + (r - r + 2*r**2)*(-4*r + 4*r + r)).\nAnswer: -10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1003044031 (base 5) to base 8\nAnswer: -7510110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2772 = 182*x - 336*x for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m**2 - 140*m + 141. Let o(n) = -8*n**2 - 141*n + 143. Let h(w) = 5*o(w) - 6*t(w). What is the derivative of h(l) wrt l?\nAnswer: 4*l + 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/3437 and -141\/446810?\nAnswer: 446810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.5208 + -1.4792. Which is the second smallest value? (a) y (b) -0.5 (c) -1.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 21*p - 4 - 188 = 0. Solve 0 = 2*c - 3*o - 5, -p*o - 2 = -c - 11*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-1 - 14\/(-4)). Let y = -16 - -12. Let m = y - o. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 - 37*w**2 - 19282*w + 365981. Give l(19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-18))\/((-2)\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*s + 218, 8*r + 91*s - 92*s - 806 = 0. What is the highest common factor of 4100 and r?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:39 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3176 + -3178.823. Let l = -0.157 + y. Round l to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140511*l**3 + 68837*l**3 + 61178*l**3.\nAnswer: -10496*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -9 - 12 + 0 - 25*d**2 + 53*d - 993*d**3 + 992*d**3. Give r(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/70)\/(3\/(-189)*3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 139091515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2. Suppose 311 = v - 0*m + m, 3*v - 948 = 2*m. Suppose -96 - 61 = -l + 4*x, 2*l + 3*x - v = 0. Let c(y) = y + l - 80 - 77. What is o(c(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182983?\nAnswer: 41, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j - 14*j - 25*j**2 + 38*j - 17*j.\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/22)\/((-1)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2 + 2. Let c(k) = k**3 + 8*k**2 + 3. Let m be c(-8). Let b be (m - 2\/2) + -2. Solve q + 2*j = 3*j - l, b = 4*q - 3*j - 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/271 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4995 and 555.\nAnswer: 4995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 2 - 6*n + 3*n)*(11*n - 105 + 105) to i + r*n**2 + l*n and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/5949 and 56\/27?\nAnswer: 17847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -167, -285, -363, -401, -399, -357?\n\"Answer: 20*n**2 - 178*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.495569cm to kilometers.\nAnswer: 0.00001495569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(78)\/(5*1*sqrt(6)).\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7256600 or 7256596?\nAnswer: 7256596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -51, -76, -101?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -128605*d**2. Let f(x) = x. Give f(c(u)).\nAnswer: -128605*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 14*m**2 + 22. Let n be w(14). Which is the biggest value? (a) 0 (b) n (c) -0.1 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/9390 and -61\/2817?\nAnswer: 28170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(2\/(-398)) + 4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from przezpvrrzrpz. Give prob of sequence ppv.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -8\/75, 4?\nAnswer: -8\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -953*c + 812. Give j(1).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015603 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14031 (base 5) to base 14\nAnswer: -5b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**3 + b**2 + 3*b - 2. Let t(v) = 6*v**3 + v**2 + 5*v - 3. Let s = 236 - 234. Let i(y) = s*t(y) - 3*g(y). What is i(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5977\/684 - 2\/171. Find the common denominator of k and -16\/1681.\nAnswer: 6724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**6\/120 - o**5\/60 + o**4\/24 - 3*o**3\/2 + 399*o**2. Give z(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*g = 18, 0 = -5*a + 4*g + 5 - 2. What is the derivative of 8 - 6 - a*v + 10 + 2*v wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/9 + 70\/15. Let j be 184\/16 + 2\/w. Solve -c = 4*u - 8 + 26, -4*u - j = -2*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**3 - 26*l**2 - 3*l + 26. Let r be g(-8). Let p = 3904\/9 - r. Put 3, p, 0.2, -1\/8 in descending order.\nAnswer: 3, 0.2, -1\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 2\/1 - -21. Suppose -2*f = -0*f + 32. Let y = m + f. What is the remainder when 10 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415 divided by 12?\nAnswer: 1415\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-30))\/(6\/15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*c + 60, 2*m - 42 = -2*c + 5*c. Solve 0 = -2*o - 22 + m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.118141*-0.4.\nAnswer: -0.0472564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (10*(-21)\/(-175))\/(903\/35)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 + 0 + 0 - 2*w**5 + 3*w**5 - 3*w**5 + (-w**4 + 2*w**4 + 2*w**4)*(4*w - w - 2*w).\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/4)*q*q**(-2\/15)*(q*q**2)**(-14\/9) assuming q is positive.\nAnswer: q**(-91\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/20)\/(-13)*(-6)\/(-7)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1328005*f**2 - 5985*f. Let k(l) = 5982*l**2 - 27*l. What is -3*j(g) + 665*k(g)?\nAnswer: -5985*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6355*x - 753620 = -4411*x for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 2:36 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + i**3 - 22 + i**3 to the form n*i + c + f*i**2 + j*i**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.056191 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000170417 rounded to six decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**5 + 2*w**5 + 2*w**5)*(0 - 1 - 11).\nAnswer: 12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10cc7f (base 16) to base 10\nAnswer: -1100927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 536*w - 4824. Let s be p(9). Sort s, 16, 1, 2, -25.\nAnswer: -25, s, 1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/27)\/(6*(-8)\/(-216)). Solve -4*c - j = 1, -c = j + 1 - u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - ((6 - 45) + 40).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665548095.\nAnswer: 3, 5, 191, 232303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 + 4*v**3)*(8 - 1 + 13) to x + b*v + k*v**3 + s*v**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16998598, 16998597, 16998596?\nAnswer: 16998595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*h**5\/7 + 3561*h**4\/7 + 168264*h**3\/7 - 9265623*h**2\/7 + 8680152*h\/7 + 413712\/7 = 0. What is h?\nAnswer: -51, -1\/22, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 300641184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -326 < -340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8787 = -2*i - 583, -12494 = -4*r + 2*i. 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: Work out 856 * -2442.\nAnswer: -2090352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-75)\/(-9) + -8)\/(3\/54). Let g(q) be the first derivative of 3*q**2\/2 + 6*q - 1. Let l(b) = -b - 1. Determine z*l(n) + g(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006479258 rounded to six dps?\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 758315.6 decades to millennia.\nAnswer: 7583.156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 - 4)*(5 - 1 - 5) - 8 + 10 - 3)*(8*q - 7*q + 0*q) as p + l*q and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j + 31. Determine n(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.03 + 0.77. Let b = 14 - d. What is b rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 5*j - 15, -2*c + c = -j + 3. Suppose -7 = -o - c. Suppose 5*v - o - 8 = 0. Solve -4*p + 3 = -2*p - 3*a, 0 = -4*p - v*a - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 28*k**3 - 5*k**2 - 10. Let z(p) = -1 - 72*p**2 + 35*p**2 + 36*p**2. Let g(s) = x(s) - 5*z(s). Differentiate g(n) wrt n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 13*k + 30. Let s be d(-6). Let w be 9\/4 - (-12)\/s. Solve -3*t + 15 = w*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {e: 4, s: 1, n: 3, l: 12}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.8 - 2.2. Let j = 3.6 + -4. Let p = j + d. What is the third biggest value in -0.4, 4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31656*c*t**4 - 2*c*t - t**2 + 103*t - 6 wrt t.\nAnswer: -379872*c*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -7, -2, 190, -19, 78 in decreasing order.\nAnswer: 190, 78, 0, -2, -3, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/3*(-3 + 36\/8). Which is the nearest to v? (a) 0.3 (b) -3 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 63 = -10*w. Let m(f) = -423*f**3 + 6*f**2 - 3*f + 1. Is m(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 78*d - 313. Let m(g) = -1045*g + 4070. What is 2*m(k) + 27*s(k)?\nAnswer: 16*k - 311","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 19*f - 12 = 3*d - 21*f, -5*d - 3*f - 27 + 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-2 + 7 - (6 - 15)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1*1\/12)\/(50\/(-80))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 - -4.88. Let l = 23133\/2 - 11212. Let v = l - 355. What is the closest to -0.1 in d, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 15*b - 607. Let x = b - 232. Suppose 0 = 3*c - 3, -x = -3*m - m + c. What are the prime factors of m?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 12*o. Let a = 67 + -145. Let d be (-4)\/(-10) - (a\/5 - 0). Let u(n) = d - 8 - 8 + n. Determine u(l(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 1. Let i(r) = -7*r. Let l(d) = -10*d - 8. Let k(c) = -8*i(c) + l(c). Let q(x) = 29*x - 5. Let h(f) = 5*k(f) - 8*q(f). Calculate b(h(m)).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (15 + -3)) + (19 - 16)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3580*u + 63 = -3586*u, q = -2*q - u - u - 25 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 137486 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 218867, 437741, 656621, 875513, 1094423?\n\"Answer: x**3 - 3*x**2 + 218876*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**4\/2 + o**2. What is the tens digit of b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14181273, 28362543, 42543807, 56725065?\nAnswer: 70906317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j. Let p(h) = h**2 - 5*h - 2. Let l(q) be the first derivative of -4*q**3 + 51*q**2\/2 + 21*q - 64. Let i(m) = -2*l(m) - 21*p(m). What is z(i(u))?\nAnswer: 3*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2370249 is divided by 49380?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -18.86 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-448)\/(-40) - 8)\/((-2)\/(-20)). Solve q = 2*l - 7*l + 16, 5*q - 3*l = -g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5376845\/6 + 5185\/3*b - 5\/6*b**2 = 0. What is b?\nAnswer: 1037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3 + 2652*w**2 - 107488*w - 472512 = 0 for w.\nAnswer: -4, 46, 1284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.5, 12\/7, -3\/26?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 + 92. Differentiate -14*v**3 - a - 2*v**2 + 28 + 2*v**2 wrt v.\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 4722.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -223.56 and -0.03.\nAnswer: -223.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -200*f**3*h**3 + 275*f*h**3 wrt f?\nAnswer: -1200*f*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.02, 1\/12, -2\/3, 52\/9?\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 208 - 2913\/14. Let n = k - -59\/42. Factor 2\/3*i - n + 2\/3*i**2.\nAnswer: 2*(i - 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 1\/9, -102, 99, 4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.293 + -9.97. Let m = -1.323 + n. What is the third biggest value in m, 4\/3, -1\/5, 3\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.24 + -6.240509. Round c to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13970722169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 15. Let t = x + 43. Let j = t - 25. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 17285915.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v**3 - 2989*v**2 - 2949*v + 46. Calculate z(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by -2906.\nAnswer: -51\/2906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 198, -65, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/35))**(-15)*(w**(-6\/19)*w)**(1\/16))**(2\/47) assuming w is positive.\nAnswer: w**(-1733\/50008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -14825*v - 47. Let a be i(-10). Suppose -22*c + a = -90431. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 72 = -56. Suppose -i = 4*n + 8. Let d(h) = -h**3 + h**2. Let m(r) = 5*r**3 - 16*r**2 + 2*r + 15. Let t(b) = 6*d(b) + m(b). What is t(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*g + 3*n + 6, -2*g - 3*n + 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3598?\nAnswer: 2, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 490643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Suppose 38 = s*j - 3*j. Is 17 a factor of j\/(-2) + (-12)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017104 rounded to six decimal places?\nAnswer: 0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -3*a + 55. Solve 0 = 4*u - a*k + 8, -4*u + 9*u = 3*k + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4709 + -4709.08. Which is the nearest to u? (a) -0.02 (b) 0.1 (c) 0 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -8*m**2 + 334996*m - 334988 = 0.\nAnswer: 1, 83747\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/28 - (-20)\/(-28). What are the prime factors of t - 1*(-23 - -1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 equal to -1012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 12*z + 9*z + 116*w = -2073, z - 2*w = 39 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/55 or 1837\/211?\nAnswer: 1837\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4330da (base 14) to base 16.\nAnswer: 22b698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, g: 5, u: 2, j: 2}. What is prob of sequence jg?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123 + -119. Suppose 108 = 2*c + 2*h + 2*h, 0 = v*c + 2*h - 186. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 17*r - 12*r + 27*r)*(-43*r + 43*r - 11*r**2).\nAnswer: 22*r**3 - 22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22601461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5015999863 and 9513.3?\nAnswer: 5016009376.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v + 5*k - 27 = 0, -14 = -2*v - 2*k. Find the second derivative of 6*b**4 - v*b + 2*b + 7*b wrt b.\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 560, 557, 552, 545, 536, 525?\n\"Answer: -z**2 + 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 4*x - 6. Calculate j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 25 + 121 + -136?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 432635830 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -108*c + 1473. Determine x(14).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -4. Suppose -8*r = -0*r - r. What is the lowest common multiple of (-1 + 2)\/(5\/145 - r) and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v**2 - 15*v + 75. Give d(8).\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 53. What is the remainder when 21 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 19*v + 112. Calculate s(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 61*b**2 + 142*b - 502. Let s(k) = -51*k**2 - 140*k + 501. Let a(v) = -5*m(v) - 6*s(v). Find the first derivative of a(q) wrt q.\nAnswer: 2*q + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 742 - 2*u**4 + 15*u**3 - 742 + (-1 + 2 - 2)*(-u**4 + 2*u**4 + 2*u**4).\nAnswer: -5*u**4 + 15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (7 - 4) - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8.249799 minutes?\nAnswer: 494.98794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -401 - -404. Calculate the smallest common multiple of f and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*b = 11, s - 17 = 3*b - 2*b. Let n = 67 - 20. Let i = n - 44. Solve -i*l - 3*o + 0*o - s = 0, -25 = 5*o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i - 10. Calculate the remainder when r(-8) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 30. Let p = 66 + -24. Let m = p + -18. Let g be x(m). Solve g*v - v + 20 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0*w + 17\/24*w**4 + 0*w**3 - 1\/10*w**5 + 44*w**2 + 0. What is the second derivative of j(z) wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4552*x + 1065.\nAnswer: 4552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.76429337275 and 0.2?\nAnswer: 7.96429337275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -13. Let u = 22693 - 45387\/2. What is the nearest to 1\/2 in u, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 - 4.85. Sort u, 3, 0.2 in descending order.\nAnswer: 3, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**6\/75 - b**5\/10 + 7*b**4\/30 - b**3\/5 + 2*b. Determine k, given that d(k) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 8*a**2 - 6*a + 14. What is d(8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**6 + 14*g**5 + 10*g**2 + 5*g?\nAnswer: 120*g**3 + 840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 16) to base 2.\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(14\/(-6)))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 418 = 2*y - 3*y, 0 = 3*y - 5*z - 1174. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 56*h - 58.\nAnswer: 2*(h - 1)*(h + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 3*p**2 - 1 + p**2 + 5*p**2. Let k be (-2)\/(-7) - (-10)\/14. What is the units digit of w(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26757987, -26757988, -26757989, -26757990, -26757991?\n\"Answer: -g - 26757986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6450\/1935*(-9)\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 + -0.6. Let y = h + 0.4. Let d = -4939.5 - -4939. Which is the second biggest value? (a) d (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**4\/3 - 64*u**3\/3 - 1714*u**2\/3 + 712*u + 3528 = 0.\nAnswer: -18, -2, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170 - 85000\/(-400))\/(10\/16).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zppzzppppzpzpzzzpzz. Give prob of sequence zzp.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/6)*i*i*(i**(-2\/13)*i)\/i*i*i)**49)**(-2\/49) assuming i is positive.\nAnswer: i**(-287\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 124107296 a multiple of 2848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (32\/64)\/((-1)\/(-22)). Let a(i) = -3*i - 5. Let w(f) = f**3 - 16*f - 24. What is o*a(v) - 2*w(v)?\nAnswer: -2*v**3 - v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1829.\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 1. Let o = 14657 - 14655. Let p(d) = 2*d + 2. Suppose -4*l = -2*g + l - 19, 0 = -2*g + 3*l - 9. Give g*r(h) + o*p(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1327 greater than 154320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245 and 1421?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112*q - 76*q + 37*q)*(-5 + 3 + 0)*(-4*q**2 + q**2 + 4*q**2).\nAnswer: 302*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00107844043 rounded to seven dps?\nAnswer: -0.0010784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02903 + -3.02903. What is the nearest to 0.5 in 1\/2, x, 2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3344.439 litres?\nAnswer: 3344439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264985 divided by -5.\nAnswer: -52997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 317747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 16 = 3*r. Suppose -7 = r*l - 3*q, 4*l + q = -2*q + 23. Suppose l*h - 15 - 3 = 0. Solve 0*u = -3*v - 3*u - h, v - 3 = 2*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**7\/35 - 2*s**5\/15 - 4*s**3\/3 - 3*s**2. Let v(m) = -m**4 + m**2 + 1. Let c(t) = n(t) + 8*v(t). Find y such that c(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/2190783609?\nAnswer: -1\/2190783609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {o: 2, b: 6, h: 4, m: 1, i: 1, d: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 803579899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 18 - 11 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 1. Let q(d) = -3*d**2 - 17*d + 9. Let c = -209 + 203. Let f be q(c). Let b(j) = -3*j + 1. What is f*b(s) + 5*w(s)?\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3 - 8*c**3 + 50*c**3 - 3*c wrt c.\nAnswer: 258*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26042, -52083, -78122, -104159, -130194, -156227?\n\"Answer: k**2 - 26044*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2346384763.\nAnswer: 4507, 520609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550.278s to nanoseconds.\nAnswer: 550278000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 16\/5*g**3 + 16\/5*g**2 + 4\/5*g**4 + 0*g.\nAnswer: 4*g**2*(g - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5205 and 41035?\nAnswer: 42717435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**3\/3 - 27*t**2\/2 + 10*t. Let x be h(15). Is 66\/x*(-4 + 8) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 + 2*n - 5. Determine g(5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 148232.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 147, 221, 295?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*f**3 + 5*f**3 - 6*f**3)*(11*f**2 - 23*f**2 + 11*f**2).\nAnswer: 25*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -364*y**3*z - 2094*y**3 wrt z?\nAnswer: -364*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/15)\/(39\/(-20)). Let q = 196\/117 - z. What is j in q*j + 2\/9 + 2\/9*j**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 1311*u - 28566.\nAnswer: -3*(u - 414)*(u - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kddk when four letters picked without replacement from dvvvkkdv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/27)\/(-4 - 6002\/(-1500)). What is the greatest common factor of 200 and p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 18. Let o(z) = -z**3 - 2*z**2 - z + 3. Let x be o(-3). Let n = 16 + -3. Solve -5*i = n + 12, -l*p - x = -2*i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2936.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 5:50 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 330432 (base 6) to base 3\nAnswer: 1101120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -14\/864681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1030\/17 - -5558\/85. Suppose 54\/5*n**3 - 54\/5*n**2 - u*n + 24\/5 = 0. What is n?\nAnswer: -2\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 39*u - 1. Let q(i) = -38*i + 2. What is -3*b(c) - 2*q(c)?\nAnswer: -41*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 2977*k**4\/12 - 1137*k**3\/2 + k**2 - 1294*k. Find the first derivative of z(s) wrt s.\nAnswer: 5954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2370.888 rounded to the nearest ten?\nAnswer: -2370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6141177 (base 9) to base 4\nAnswer: 30133201003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 89.4549ml?\nAnswer: 0.0894549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355429?\nAnswer: 41, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 432, 437, 452, 483, 536, 617?\n\"Answer: y**3 - y**2 + y + 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/15 + -11 + (-53)\/(-5). What is the nearest to -97 in 5, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 100 (b) 5 (c) 3\/2 (d) 1 (e) -0.0434 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 13. Let n(m) = -m + 19. Determine 5*n(r) + 7*w(r).\nAnswer: 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*v = 46*v + 12. Suppose v*m - d = 4*d - 4, m + d = 4. Suppose m*r - 233 + 51 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*v = 3*v + 35, q + 35 = 4*v. Let w be (q\/25)\/((-1)\/5). Let y be (-5 - 18\/(-8)) + w*1. Put -1, y, -4, 0.5 in decreasing order.\nAnswer: 0.5, y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k - 10 = 0, 5*g + 14 = 2*k. Let l = -1.7 - -2. Which is the third smallest value? (a) g (b) 7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by (3 - 63)*(-6)\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4064*p + 1. Let t(d) = 309*d. Calculate n(t(y)).\nAnswer: -1255776*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*8\/24*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 980707264 and 1264.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-8) + 10\/1. Let w be j\/18*(-3)\/(-1). Let g(u) = -4 + 3*u**w - 6*u - 2*u**2 + 7*u - 6*u. Determine g(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 4)*(3*c + 2*c**2 - 3*c) - 4*c**2 + 4*c**2 - 2*c**2.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0208 + 77.3208. Let c = -78 + k. What is the third smallest value in c, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1851\nAnswer: -3702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 8 - 42)*(-8*j - j**2 + 8*j).\nAnswer: 107*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.614 - 0.124. What is g rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134*v - 25*v + 17*v)*(2 + 0 + 0) - 2*v - 3*v + 3*v.\nAnswer: 250*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 49, 105, 183, 283?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 6*h**2 + 3*h - 2. Let r = 0 + -1. Let x(m) = 5*m. Let v be x(r). Is t(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 870496538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**4 + 24*c**3 + 30*c**3 + 3*c + 14*c**3 - 89*c**3 + 20*c**3 - 6*c**2 in the form n*c**2 + q*c**3 + s*c**4 + x + o*c and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1458 and 828?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2. Let s(r) be the second derivative of 17*r**4\/3 + 1602*r - 2. Calculate s(t(u)).\nAnswer: 68*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-190 - 173 + 123)*(-2*n - 7*n + 3*n).\nAnswer: 1440*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 130*a + 235. Let y be s(-7). Let x = 4 - y. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4208077.\nAnswer: 4208077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9491970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0.2, 38, 1\/23 in descending order.\nAnswer: 38, 0.2, 1\/23, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and 0.02181.\nAnswer: 6.02181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -336 + 316. Is 243\/(76\/y - (-2 - 2)) a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3 - 2*y**2 - 2*y + 3 - 68*y**3 - 25*y**3 - 1. What is the tens digit of c(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/((5 - 1)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by (-53)\/(-1) + 135\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6017670 and 1098.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -138*m**4 - 320.\nAnswer: -552*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 124.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200695 is divided by 1687.\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12 + -13)*8\/(-4). Solve 2*m - 1 + 5 = 0, j*b + 20 = -5*m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 4*v + 3*v - 3*v + 32, -2*v + 236 = 41*g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6560 - -6568. Solve 5*s + 3*z = 14, -s + 3*z - z = -p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q + 183 + 213 = 0 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 6:30 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 1, o: 4, i: 7}. What is prob of picking 2 o?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24234.1 + -22907. Let w = 1266 - v. Round w to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110110010 + -1100000000001?\nAnswer: -10101110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u + 1. Let a(p) = -p + 1. Let d = 138 + -135. What is d*x(n) - 3*a(n)?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1705 - 1679 = 5*z - 2*q, 2*q + 10 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 336*r**5 - 2*r**4 - 71*r**3 + 581322*r**2.\nAnswer: 20160*r**2 - 48*r - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/5, -165, -2\/13, 2.61?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79631367 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 15*f**4 + 310*f**3 - 16845*f**2 + 135180*f - 43200 = 0.\nAnswer: -48, 1\/3, 12, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -997*z + 763*z = -1170 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*h + 850 = 520*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.9 - -3.412. Round l to two dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12207140, 12207137, 12207134?\nAnswer: 12207131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -464, -1141, -1818?\nAnswer: -2495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(5*m - 3*m - m) + 0 + m + 0 + (2 - 6 + 3)*(0*m + 4*m - 2*m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64152 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-16))\/(-9*10\/360).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-2 + (-16)\/(-10)). Suppose 3*s - 20 - 25 = 0. Let f = s + -24. Is f at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25088384.\nAnswer: 2, 196003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 341*a - 341*a - 3*a**2 to the form k*a**2 + v + u*a and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38917*o*v**5 + 2*o*v**3 + 3*o*v + 1011383*v wrt v.\nAnswer: 778340*o*v**3 + 12*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7 = 5*n - 2*n, 0 = 4*n + z - 14. Suppose y = 2*w, -5*w - n*y = -2*w + 18. Let j = w - -3. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13701 - 13821. Suppose 5*t + a = -135, -3*a - 64 - 71 = 5*t. Let p = t - i. List the prime factors of p.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 - -0.34. Let s be 2\/((-8)\/(-5))*-4. Let d = s + 5. Which is the closest to r? (a) -5 (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3)*r*r\/r**(-2\/11)*r*r*r*r**(-1\/3)*r**(2\/13) assuming r is positive.\nAnswer: r**(859\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.764 - -1.764. Which is the closest to x? (a) -260 (b) -0.1 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43032, 172154, 387358, 688644, 1076012, 1549462, 2108994?\nAnswer: 2754608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 50cad44 - -5?\nAnswer: 50cad49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*f = -316258 - 169840. Does 167 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4.4. Let g = 0.6 + l. Which is the nearest to g? (a) 3 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 104522019, 209044043, 313566067, 418088091, 522610115?\n\"Answer: 104522024*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 7*w**2 + w + 7. Let a be 13\/2 + 2\/4. Let u be g(a). Let s = 24 - u. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 293\/4 (b) 3 (c) -5 (d) -0.2 (e) 2 (f) 547 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -7, 8.3 in ascending order.\nAnswer: -7, -5, 1, 8.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -88)*(-30 - 175\/(-100)). What is the greatest common divisor of f and 339?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + (33 - 21) + 3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(8*j + 2*j + 0*j).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from hmmmmmqmmymqym.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - -0.9. Let h = -1\/1084 + 23311\/5420. Let m = 19\/5 - h. What is the closest to 0 in m, 1\/7, d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 440 - 433. Solve 3*c - c + p*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 7 = -3*s, -1 + 7 = 2*h - s. Suppose c + h = 2*c + 5*y, 3*y + 3 = 0. Suppose -u + c*u = 340. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 0*x**3 + 0*x**2 + 13\/12*x**4 + 0 + 9*x + 9\/20*x**5. Find the third derivative of n(h) wrt h.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 2\/3*y**3 + 0*y**5 + 19*y - 61\/6*y**6 - 14 + 0*y**4 + y**2. Find the second derivative of d(o) wrt o.\nAnswer: -1220*o**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 130922, 128722, 126522?\n\"Answer: -2200*c + 133122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13852 (base 10) to base 3.\nAnswer: -201000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5 - 37. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-45)*-12*40. Suppose -r - 18 = -2*h - 4*r, r = 4*h - y. Let f = h + 11. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90366 is divided by 10622.\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242 - 488 + 5953*s + 246 + 9549*s.\nAnswer: 15502*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 357.75 and 38.9?\nAnswer: 13916.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 4*z. Let l(n) = -n + z*n + 5*n. Let i(b) = 5*b - 4. Let r(o) = -11*o + 9. Let j(k) = -9*i(k) - 4*r(k). Determine j(l(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, -40\/19, -0.03, -0.11, 4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 12. Suppose -1953 - 379 = -h*v. Suppose -5*z - s = -v, 2*s = 3*z + 4*s - 347. Calculate the remainder when z is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a58 + -6134?\nAnswer: -10091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -14)*(-6)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - 4*a**2 - 4*a - 2*a**2 + 3*a. Let i(p) = p**2 + 6*p + 1. Let d be i(-6). Give f(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -23 - (205 - 205) - (-3 - 4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4887391*s**3*t**3 - s**3*t**2 + 155*s**3*t + 21529 wrt t.\nAnswer: 29324346*s**3*t - 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 13 = 2*d. Suppose -d = -24*f + 11*f. What is the nearest to 3\/4 in -2, -0.04, f?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77625 and 3375.\nAnswer: 77625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -440? (a) -6 (b) 0.4 (c) -2\/5 (d) -3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen sixths of a minute?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -26 - (1 - (-35)\/(-5)). Let v = 64 + -37. Let x = v + z. What is the remainder when 47 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-7) + (1 - (-9)\/378*-122)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 24*i**2 + 2*i - 6. What is the remainder when 670 is divided by o(24)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 8 - (1 + -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506650574?\nAnswer: 2, 253325287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-37)\/(-2))\/((5\/10)\/1). Suppose 2*b - s = y, 5*b = -s - 4*s + 55. Suppose b*o - 4*o = 2868. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**2. Suppose 3*g + 17 = 92. Let r(h) = -54*h**2 + g*h**2 + 24*h**2. Calculate v(r(k)).\nAnswer: 125*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 32. What is h(-14)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 108\/42899?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -5*(sqrt(7)*-1 - sqrt(7)))*-3 + -3)**2.\nAnswer: -540*sqrt(7) + 6381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - -2. Suppose -6 + y = 3*o. Suppose 5*m - 225 = -o*j, m - 6 = -j + 38. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/44 and (-6)\/(-20)*3325\/42?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q - 31*q - 26559 = -29160 for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 5*g - 1, 0 = m - 6*m - g - 35. Let p be (m\/3)\/((-5)\/(-1)). Which is the second smallest value? (a) p (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -39. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-3 + -1 + -2)) + (-6 - -6) - -48.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*w - 296 + 1556. Calculate the greatest common divisor of 7070 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 477 and 94287?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -594*a + 3553. Determine o(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45032*v - 56688*v + 116811*v to z + y*v and give y.\nAnswer: 15091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + q**4 - 1 + (2*q + q - q)*(q**3 - 10*q**3 - 2*q**3) + (1 + 2*q**3 - 1)*(0 - q + 0) to the form l*q**4 + d*q**2 + p*q + r + z*q**3 and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 56 = -4*f, 4563*f - 4568*f + 5 = 0 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4394060 to the nearest integer?\nAnswer: 2096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -17\/1081 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/sqrt(2))\/sqrt(4) + sqrt(11) + sqrt(11) + 1 + sqrt(11) + 1)**2 + (sqrt(1331) + -1)*-3.\nAnswer: -17*sqrt(11) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 75 and 10361.\nAnswer: 10436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69 + 2852821.\nAnswer: 2852890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7923880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**7\/f))\/f**(-10) assuming f is positive.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z + 3. Let r = 37 - 25. Suppose g - r = -2. Let h(x) be the third derivative of -x**4\/8 - x**3\/6 + x**2. Calculate g*h(b) + 4*v(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -280 - -144. Let t = i - -135.99999631. Round t to seven dps.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -194*h**2\/3 - 36784*h + 43320 = 0.\nAnswer: -570, 114\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 24. Let o(w) = -1 + a - w - 2*w + 4*w. Give o(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1221\/4 + 313. What is the common denominator of 57\/40 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*m + 3. Let p(g) = -7*g**2 + 5. Let u(q) = q + 3*q**2 - 399 - q + 397. What is m*u(f) + 2*p(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-45) + 76\/(-18). Let x = 6 + n. Suppose -v = 3*r - x*r - 40, 3*r + 5*v - 130 = 0. What is the greatest common factor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 36065.4 hours?\nAnswer: 129835440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-834)*16044\/10696.\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (35 - 18) + -8.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 2*u + 19, u = i + 11 - 3. Let r(j) = j**3 + 4*j**2 - 7*j - 5. Let h be r(i). Solve h = 4*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 313573875 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110111110 - 11?\nAnswer: -11111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5052818368 to the nearest integer?\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17625211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82259 - 20400. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0676978 millilitres?\nAnswer: 0.0000676978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 3*k + 3438, -6 = -4*k + k. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3.248213 weeks?\nAnswer: 1964519222.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 24 = -3*d - 11, 2*f - d = 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27789 divided by -3880.\nAnswer: -27789\/3880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-3 - -1) - -335. Suppose 7*r = 3*r - x. Round r to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from ooeogsoos?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 746 and 70497.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(36)\/sqrt(3)) + (sqrt(176) - sqrt(44))\/sqrt(4) + -5 + sqrt(275)*2.\nAnswer: -5 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240320364.\nAnswer: 2, 3, 17, 1178041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 214500.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 2*j**5 + 21*j**4 + j**3\/3 + 2*j**2 - 184*j - 4569. What is the third derivative of l(v) wrt v?\nAnswer: 240*v + 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 + 1195524*l.\nAnswer: -2*l*(l - 5379858)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -18, 1 in decreasing order.\nAnswer: 1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - x - 3 = 0, 3*q + 42 = 8*q + 4*x. Let p(f) = 2*f**2 - 10*f + 7. Determine p(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {a: 2, p: 4, v: 3, q: 9, i: 1}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 102, 122, 138, 150?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n + 2*p - 396, 2*p = -n + 102. What is the remainder when n is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) -3 (c) -0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + 0*c**2 + 0*c**2)*(-29 - c**3 - 28 - 8*c + 55).\nAnswer: -3*c**5 - 24*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.019 + -0.649. What is w rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5072 + -332?\nAnswer: -5414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 11:53 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 9*t + 11. Let f be y(-7). Let o be (-5)\/(-1)*((-18)\/6 + -1). Let n = o + 16. Which is the closest to 0.1? (a) n (b) f (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1206888.626 rounded to the nearest one thousand?\nAnswer: -1207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gga. What is prob of sequence gag?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 4 (b) -4 (c) -0.2 (d) -3\/5 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/19)*r\/r**(2\/5)*r\/r**(-2\/3)*r**(-3))**21 assuming r is positive.\nAnswer: r**(742\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 6228.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 621 and ((-1261)\/13)\/(-5 - -4) - 5.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11143 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: Simplify -4 + (sqrt(117)*-2 + sqrt(117) + 1 + ((2*sqrt(117) - sqrt(117))*-6 - sqrt(117)))**2.\nAnswer: -48*sqrt(13) + 7485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, n: 3}. What is prob of picking 2 n and 2 i?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 + 1435\nAnswer: 1434.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6885, -6887, -6889, -6891, -6893?\n\"Answer: -2*p - 6883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -221*y + 4778. Determine s(21).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-3)\/(-21) - (-6890)\/35. Let v = 462 - d. Suppose i - 2*s - v = 0, -s + 1 = 5. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490849?\nAnswer: 490849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13, 123, 535, 1361, 2739, 4807, 7703, 11565?\n\"Answer: 23*c**3 - 25*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3313 is divided by 1141.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**4\/8 - 37*t**3\/6 - 62*t**2. Let o be v(-13). What is the biggest value in -0.3, 4\/3, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 0*v**5 + 0*v**3 + 0*v**4 - 1\/6*v**6 + 7\/2*v**2 + 0*v - 22. Find the second derivative of o(w) wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-9) + 2 + (-55)\/45. Let f(a) = a**3 - 2*a**2 + 2*a + 4. Let g(h) = -h**2 + h + 1. Calculate y*f(r) - 2*g(r).\nAnswer: r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 7*j**2 + 11*j - 9. Let y be r(8). Put y, 2, -2, -4 in ascending order.\nAnswer: -4, -2, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 - 17*b**2 - 7*b + 8. What is g(2)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 241 + 204*i**2 + 215*i**2 + 29*i**4 - 411*i**2 with respect to i.\nAnswer: 116*i**3 + 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -7*m**4\/78 - 16*m**3\/39 - 4*m**2\/13 + 14*m. Solve v(o) = 0 for o.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (0 + (-3)\/(-12)). Solve 5\/4*l**4 + m*l - 7\/4*l**2 - 3\/4*l**3 + 1\/2 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 281835126 - 281835125.373999406. Let p = 0.626 - u. Round p to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100101100011010011100010 + -100?\nAnswer: -10100101100011010011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-84)\/49)\/(-12) + (-8714)\/61096. Which is smaller: f or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/20284 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/8)\/g*g*g*g**(-4)*g*g*g*(g\/(g\/(g*g\/(g*(g**6*g)\/g)*g)))\/g*g\/((g*g**(2\/11)*g*g*g)\/g*g) assuming g is positive.\nAnswer: g**(-731\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -114364, -114362, -114360?\n\"Answer: 2*u - 114366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 11*o + 27. Let m be k(-8). Differentiate -2*j**m + 50 + 3 + 3*j - 5 with respect to j.\nAnswer: -6*j**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o. Let p(z) be the second derivative of 0 + 4*z + 0*z**2 + 1\/6*z**3. Calculate p(h(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*w - 45 + 15, 5*w + 25 = 0. Let f = z - -12. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3*o + 10 = 0, -2*n + 21 = -o + 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*s + 8*s + 10*s + 12*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 64\nAnswer: 5\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-224)\/(-170) - 6\/51. Let -8\/5*r + 0*r**2 + q*r**3 - 2\/5*r**4 + 0 = 0. Calculate r.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 29 = 3*t, 5*z - 128 = 5*t + 67. Calculate the greatest common factor of z and 638.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -11 + 29. Let w = f + 27. Suppose w*y - 4*y - 40 = 0. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -16309*c - 750213. Determine x(-46).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3999928739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270545?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 - 438*p + 38930. What is z(-208)?\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/66)\/((-186)\/279).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 8 + 40. Suppose 0 = p - 5, -2*x - r = 2*x - 4*p. Solve -14 - 1 = x*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + s = 0, -4*y - 2*s = -s + 8. Let v(d) = -3*d + 1. Let f(p) = -2*p - 3. Let j be f(-4). Let g(u) = -6*u + 2. Let b(k) = j*v(k) - 2*g(k). Give b(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00112664564 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -463441*d**4 - 2*d**2 + 200420*d - 4 wrt d?\nAnswer: -5561292*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1377) + -1 - sqrt(1377))*2 + (-5 + sqrt(1377)*-2 - (sqrt(1377) + 1)*-5))**2.\nAnswer: -216*sqrt(17) + 12409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, z: 8, s: 1, l: 7}. Give prob of sequence sz.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.3 (b) 3 (c) 0.232 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-60)\/25 - 48042\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 + 62 + -51 - -62?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2 and 0.2863.\nAnswer: -0.34356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7502)\/(-500) + 225*36\/(-540))*(6 - 2).\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 2*m, 23 = -4*z + 2*m + 41 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5694, -22283, -49930, -88635?\nAnswer: -138398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3079535089.\nAnswer: 3079535089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 7*w**2 + 4*w + 2. Let r be t(6). Let b = r + 15. Let c(h) = 879999*h + 5. Let j be c(b). Round j to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p - 4. Suppose 5*u - 2*j = -20, 9 = -2*j - 1. List the prime factors of v(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11202.01 meters in micrometers?\nAnswer: 11202010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18552, -37097, -55638, -74175?\nAnswer: -92708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 721*u - 144*u + 272*u + 946*u - 226*u to the form a*u + m and give a.\nAnswer: 1569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 145 = 15. Let x = 44 + j. Suppose -x*c + 321 = -663. What are the prime factors of c?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - (7 + (0 - 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 + 0 - 20 + 0 + 28*h**2 wrt h.\nAnswer: 56*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -21*z**2 + 5*z + 1. Determine q(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 277*l + 282*l - 86615, 0 = -i - 4*l + 28867. List the prime factors of i.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91297*r**4 - r**3 + 1052185*r wrt r?\nAnswer: 1095564*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*j = 10, 3*q + 5*j + 20 = -0*j. Let p(k) = -52*k - 7. Let m(l) = 35*l + 4. Let b(c) = q*p(c) - 8*m(c). Differentiate b(o) with respect to o.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(300) + (-1*sqrt(300) - sqrt(300)))*-3 - ((sqrt(300) + 4 + 2 + sqrt(300))*4)**2.\nAnswer: -19779 - 3810*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 381*u + 12553. Calculate c(-33).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2 - 7*l + 5. Let y(k) = -8*k**2 - 21*k + 13. Let i(n) = -11*b(n) + 4*y(n). Is 45 a factor of i(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5854693241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**6\/120 - i**5\/4 - i**4\/6 + 5*i**3\/3 + 16*i**2. List the prime factors of g(-15).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + -4 + (4 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (433 + 6*j - 432 + 8*j)*(-j**4 + j**4 + 6*j**4).\nAnswer: 84*j**5 + 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4760*l*s**2 + 415*l - 2*s - 2 wrt s.\nAnswer: -9520*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -4*j**7\/7 + 7*j**6\/6 + 51*j**3 + 34. What is the third derivative of k(r) wrt r?\nAnswer: -480*r**3 + 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 2*d**6\/45 - 4*d**5\/15 + 4*d**4\/9 + 3*d. Factor k(s).\nAnswer: 4*s**2*(s - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(931) - -1*sqrt(931)))**2 + (-4 + -2*sqrt(931))**2 + 0 - ((-2*sqrt(931)*-5 - sqrt(931))**2 + -1*sqrt(931)*-6).\nAnswer: 70*sqrt(19) + 62393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/16522 and -41\/168224.\nAnswer: 1850464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6435 - 915 = 3*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-q + q + q) + (-18*q - 16*q - 69*q)*(1 + 0 + 1).\nAnswer: -208*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (142630\/57052)\/(5*(-3)\/(-46))?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*x - 242, -5*x + 2*x + 366 = 3*s. Solve 0 = -131*h + s*h - 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12333202 + -3?\nAnswer: -12333211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -110\/3 and -38 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3\/4, -3.6, 20085, -2, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) -111 (c) -1\/3 (d) 0.4 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 149 (b) 1 (c) 5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -4 - (3 - 1). Let k be 0*(0 - t - 2). Suppose -3*o - 9 = -k*o, -4*o = -4*d + 16. Which is the smallest value? (a) -3\/5 (b) 2\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - d - d = 6, 3*g = -4*d - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003497013 rounded to six dps?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 2*t**5\/45 - 2*t**3\/27 + 89. Factor j(k).\nAnswer: 2*k**2*(k - 1)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-3)*-6 + -1. Let t(f) = f**2 - f - 4*f**2 - 488*f**3 - 6 + 489*f**3 + 8*f**2 + 2*f**2. Give t(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67221 and 8316.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(4\/7)\/l)\/((l\/((l*l*l**(2\/25)\/l)\/l))\/l)*l**(1\/12)\/((l\/l**(-4\/5))\/l*l)*(l*l**0\/l)**(-2\/99)*(l**0)**(6\/5) assuming l is positive.\nAnswer: l**(-2237\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - 101333020133?\nAnswer: -101333020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000270513 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1704 + 18736\/11. What is the second smallest value in -4, 2\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 8*m**2 - 8*m - 4. Let a be q(-7). Let b(t) = 2*t**2 + 1 + 2 - t**2. Give b(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.48 + -0.33. Let h = x + -1.65. Which is the third smallest value? (a) -1\/4 (b) h (c) 8 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*u - 0*u. Let z(o) = -o**2 - 4*o + 4. Let v be z(-4). Let y be (6\/30)\/((-1)\/(-5)). Put y, v, u in ascending order.\nAnswer: y, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b = 25, 0 = -5*s - 5*b + 10. Suppose 16 = -r + 17. Let t(g) = 13*g - 6*g + r - 8*g. What is t(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31232)\/64)\/(-61)*3\/(-57)*1?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 815229988?\nAnswer: 815229988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(((l\/(l\/(l*l\/((l**4*l)\/l))*l))\/l)\/l)\/l)*l**2)\/((l*l**(3\/2))\/l)**2 assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2133222 + 0?\nAnswer: 2133222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + s**2 - 7*s + 6. Let f be d(5). Suppose -7 + f = 6*p. Suppose -p*m = -14*m - 20. What is the least common multiple of m and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002123036 rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**6\/330 - h**5\/220 - h**4\/12 + 3*h**3\/22 + 9*h**2\/11 + 153*h. Suppose x(t) = 0. Calculate t.\nAnswer: -3, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 20. Let r = -6 - -8. Let z be o + -2 - -11 - r. Let d(w) = 9*w - 11. Let j(n) = -5*n + 6. Determine z*j(y) + 6*d(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 14) in base 5?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.669921ml?\nAnswer: 0.005669921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 577 and 576 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2108.12796774 - 0.892?\nAnswer: -2109.01996774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*w**2 - 916*w**2 + 284*w**2 + 347*w**2 - 186*w**3.\nAnswer: -186*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -2*y**2 + 0*y**3 + 0*y**4 + 0 + 1\/60*y**5 + 0*y. Let n(q) be the second derivative of q**4\/6 - 18*q. What is n(k(i))?\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.965 and -19.\nAnswer: -189.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(684) + 3 - (-2 + 3 + sqrt(684)))**2 - ((-4 + sqrt(684) + -2)*-6 + 3)**2.\nAnswer: -26120 + 2808*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-35))\/(726\/(-1815)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167883 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7208406 divided by -130?\nAnswer: 3604203\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**2. Let q = -536 + 545. Let k(h) = -78*h + 101*h - 9 + q. What is f(k(y))?\nAnswer: -2645*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 19. Let m(k) = 5*k - 5. Let c(b) = b - 1. Let j(q) = -12*c(q) + 3*m(q). What is the remainder when w is divided by j(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 5:03 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o. Let i(p) be the first derivative of p - 6. Determine 3*i(v) + y(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12554178451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 3*j - j)*(4 - 2 - 5)*(2*j**3 + 2 - 2 + (1 - 1 - 2*j**2)*(0*j + 4*j - 2*j) - j**3 + 3*j**3 - j**3 + 18*j**3 - 34*j**3 + 18*j**3 + 1).\nAnswer: 24*j**4 + 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/4992595 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5\/5 + 11466*w**4\/5 + 16358946*w**3\/5 - 42824938*w**2 + 693346836*w\/5 = 0 for w.\nAnswer: -2873, 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -35*c**2 - 13*c - 16. Let v(x) = -11*x**2 - 4*x - 5. Let f(b) = 6*t(b) - 19*v(b). Factor f(m).\nAnswer: -(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 351\/8, -1\/4, 0.1, -2\/3427 in increasing order.\nAnswer: -1\/4, -2\/3427, 0.1, 1\/3, 351\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -245169938*x**2*y**6 - 44991780*x**2*y**2 wrt y.\nAnswer: -29420392560*x**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfunwwwaufwawwtwuww. Give prob of sequence fwfu.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-3)*(-12)\/(-8). Suppose 5*l + 22 = -3*y, -y = -l - 3*y - 10. What is the least common multiple of b*(l\/10 - 3) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 13 = 2*i. What is the remainder when 35 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.5*-0.05\nAnswer: 1.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a decade in months?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*n - 25*n + 11*n - 25*n + 3*n**2 + 43*n.\nAnswer: 3*n**2 - 29*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05257686 rounded to 3 decimal places?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3754611 to the power of 1\/2, to the nearest integer?\nAnswer: 1938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsff when four letters picked without replacement from {d: 1, s: 5, f: 5}.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*h**4*y**2 - 31*h**3*k - h**3*y**3 - 3*h**2*k - h**2 - 2*h*k + 5*k - 6*y**3 wrt h.\nAnswer: 648*h*y**2 - 186*k - 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 671 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 6. Suppose -4*m - 18 = -5*m - 2*u, -3*u + 33 = 2*m. Calculate k(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.33 in 2, -252, 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 1. Let x(o) = o**3 - o - 1. Let r be x(2). Suppose 0 = -r*w + 4*l + 60, -4*l + 0*l + 36 = 3*w. Solve q*h - w = -3*b, 5*b - 2*h = -4 - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61841 and 0.2919.\nAnswer: 18051.3879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-45)\/(-2))\/(-5) - (-3)\/(-6). Suppose -53*p = -50*p - j - 2, -3*p + 8 = -4*j. Put p, 2, -8, b in increasing order.\nAnswer: -8, b, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39120 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -34323, -137425, -309253, -549801, -859063?\n\"Answer: q**3 - 34369*q**2 - 2*q + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2. Let j(d) = -7302*d. Calculate h(j(i)).\nAnswer: -53319204*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 1112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 574204, 574346, 574490, 574636?\n\"Answer: h**2 + 139*h + 574064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79400830415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z. Let x(n) = n - 165091. Determine x(v(l)).\nAnswer: -l - 165091","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 469 or 471?\nAnswer: 469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -4*j + 55 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o**2 + 11*o + 21. Calculate a(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 16 + 5*i - 7.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5684*q + 68*k = -5687*q - 1159, 0 = -4*q + 3*k + 47 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.514 - -101.386. Let l = f - 103. Which is the fourth smallest value? (a) -1\/2 (b) l (c) -11 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:24 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + -44?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 45 = -5*a, -4*a - 6 - 4 = -10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651 is divided by 131.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 + 5*r + 14. Let j be k(4). Let f(q) = 105*q**2 - 3*q. What are the prime factors of f(j)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 7. Calculate the remainder when 47 is divided by b(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.9 * 0.5\nAnswer: -3.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/7)*j**(1\/4))\/(j**(1\/3)*j**(-1)\/j)*(j**6*(j*j*j**4*j*j)\/j)**(35\/4) assuming j is positive.\nAnswer: j**(2420\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m. Suppose -x + m*x = -4. Suppose 0 = o + x - 8. Calculate the remainder when 6 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4 + 5. Let z(f) = 2*f**4 - 4*f**3 + 8*f**2 - 4*f - 2. Let w(q) = -q**3 - q**2 + q + 1. Let b = 2 - 0. Let u(a) = b*w(a) + l*z(a). Factor u(n).\nAnswer: 2*n*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447405.\nAnswer: 3, 5, 7, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -410*y**3*z + 243*y**3 - 3*y**2*z + 3026*y**2 - 7*y + 414*z wrt z.\nAnswer: -410*y**3 - 3*y**2 + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/163?\nAnswer: 3\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + -1 + sqrt(1300) + -1 + (sqrt(1300)*2 + -5 - sqrt(1300))**2)*-1.\nAnswer: -1327 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bseulsm. What is prob of picking 1 s, 1 e, 1 u, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/((-5)\/(-2) + -1). Let o = 68 + d. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*(1 + -2 + sqrt(1331)) - (-5 + (sqrt(1331) + sqrt(1331) + 2)*6))*6)**2.\nAnswer: 2566080*sqrt(11) + 172602576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.85074l in millilitres?\nAnswer: 39850.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, 250, 761, 1530, 2557?\n\"Answer: 129*p**2 - 134*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9 (b) 1\/6 (c) -0.2 (d) 4 (e) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1765 divide 65414430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 412\/(-1648)*24\/(-14)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 713 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23269351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -288403 (b) 0.1 (c) -4\/21 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*f**2 + 61*f**2 - 44*f**2.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 12. Solve r - 1 = -2*o, -b*o - r + 3 = 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = 8 + 34. Let p be 0 + d\/(-4) + (-32241)\/(-6). Let u = p + -3172. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7702?\nAnswer: 2, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 5*p + 16. Let k be d(7). What is the second derivative of -102*x**4 + 45 + 52*x**4 + 45*x**4 - k*x wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)\/m**(-1\/6))\/(m**(3\/5)\/(m**(-1\/3)\/m*m*m))*((m\/(m**(-1\/2)*m))\/m)**47*(m\/m**(1\/4))**(-1\/8) assuming m is positive.\nAnswer: m**(-13133\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(56\/(-32) - -2) - -19411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 5*b**2 - 3*b - 3. Let a be (2 - 3)*-1 - -2. Let u be y(a). What is the second derivative of -l - u*l + 10*l**4 - 4*l wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-44)*(2\/(-24))\/(108\/81)\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -354538.904 rounded to the nearest one thousand?\nAnswer: -355000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1510893?\nAnswer: 3, 23, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*(sqrt(88)*-2 - sqrt(88)) - 5*sqrt(88)*-2)\/(sqrt(648) + ((1*sqrt(648) + sqrt(648))*1 - sqrt(648) - sqrt(648) - sqrt(648)) - sqrt(648)).\nAnswer: 140*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-101)*((-66)\/3)\/154*(-84)\/18?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -94*o**2. Let a(f) = 36*f. Give j(a(l)).\nAnswer: -121824*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 220010211121101 (base 3) in base 12?\nAnswer: 4368a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m - 2 - 3*m**2 - m**2 + 0. Let r = -636 - -634. Determine y(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*q = -5 - 8, 3*l - 18 = -3*q. Let v = l + 6. Let j = v - 8. Calculate the smallest common multiple of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (63 - 23)) + 104.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(4) - (sqrt(4) - sqrt(12)\/sqrt(3))*5)\/sqrt(2) + 5)**2 + ((1*sqrt(7200) + (sqrt(50) - sqrt(2450)*-1))*5)**2.\nAnswer: -40*sqrt(2) + 500057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17 - -8.83. Let y = p - 7.2. Is -1 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (23696\/(-3) - 7)\/(3\/(-261)). Let m = 852863399\/1240 - p. What is the common denominator of m and -85\/12?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1908 divide 63762670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 + 167. Suppose 4*j + q + 47 = 0. Let w = 46 + j. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 76 = -4*l + 72, 2*b - 7 = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*y = 98 - 14, 3*y - 6 = 0. Does 24 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21377, -21502, -21629, -21758, -21889, -22022?\nAnswer: -22157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 4:46 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:24 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -0.6, 154, 1\/5, -0.3, 5 in increasing order.\nAnswer: -0.6, -0.3, 1\/5, 5, 12, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (32*49\/(-3920))\/((2\/20455)\/(-1)) is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 43*a + 484. Let x be t(0). Let u = x + -464. Solve 0 = -7*c + u*c - 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18093 is divided by 5986?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2 (c) -935 (d) -56\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/1634 - 9131\/10879?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -100 or 150905?\nAnswer: 150905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mynl when four letters picked without replacement from {n: 4, m: 1, l: 1, x: 8, y: 2}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (45\/2520)\/(2\/4)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 + 0*m**4 + 2*m**4 + (0*m**2 + 0*m**2 - m**3)*(0*m - 4*m + 3*m) + 2*m**4 + 2*m**4 + 2*m**4.\nAnswer: 10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -117411 + 3?\nAnswer: -117407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*t**3 + 18*b*t - 59*b - 17077*t**3 + 1 wrt t?\nAnswer: -12*b*t - 102462*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 3:43 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52.8 - -53. Which is the third biggest value? (a) -1 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2*r*r)**(2\/45)*(r*r**(-2))**(-24)*((r\/(r*(r**(2\/5)*r)\/r))\/(r*r\/r**3))\/(r\/(r*r**(-1\/5))*r\/r**(3\/2)) assuming r is positive.\nAnswer: r**(2257\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -10. Suppose o*a + 3*p = -4*a - 7591, 2*a + 3791 = 3*p. Is (-2)\/(-3) + a\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 12:55 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, e: 1, m: 1, g: 1, r: 5, n: 5}. What is prob of sequence ngne?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - t. Let v(y) = y. Let p = 0 + 1. Let h(r) = p*o(r) + v(r). Let b(l) be the second derivative of l**3\/6 - 4*l + 5. Calculate b(h(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 231748571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/((-2)\/177). What is v rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.4 + -6. Let m = 60713 - 60713.600068. Let j = m - a. Round j to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7098960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 18 = 4*k. Let c be (-114)\/36 - 4\/(-24). Put -2, 1, k, c in ascending order.\nAnswer: c, -2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*p + 6. Let n(j) = 4*j - 23. Let w be n(p). Let v = w - 31. Does v = -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.95418 micrograms in milligrams?\nAnswer: 0.08295418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 10*y**2 - 2*y + 21. Calculate o(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 612520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -76.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 14.39.\nAnswer: 14.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/1839 and 107\/12.\nAnswer: 7356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.366 - -4.634. Let o(z) = -10 + 3*z**3 + 10. Let t be o(1). Which is the second smallest value? (a) -2 (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15482444 to the nearest integer?\nAnswer: 3935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 9*f - 5. Let d be 26\/(-13) - (-8 - 1). Let m be x(d). Find the second derivative of -39*v + 12*v + m*v**5 - 10 + 10 wrt v.\nAnswer: 180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 3*b - 33 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6718 (base 13) in base 4?\nAnswer: -3200302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/4)\/w**(-1\/3) assuming w is positive.\nAnswer: w**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 33. Let l be 10\/40 + 2\/s. Suppose l = 2*j - 0 - 22. What is the remainder when 54 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -432a?\nAnswer: -432a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/6809 or -1?\nAnswer: 10\/6809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*k - 1255, -5020 = 2*h - 6*h + 3*k. Let y = h + -499. Suppose -226 = 5*a - y. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-15) + (-444)\/(-15). Let y be (-2)\/3*(-135)\/t. Suppose -y*p = -5*p + 34. Calculate the common denominator of p and -41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -5 - -11 - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*h + 64*h = 42. Solve -5*d - 30 = 2*y - 25, -h*d = y + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/8 + 64\/(-256)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -134, 5, -5, -0.2, 27 in descending order.\nAnswer: 27, 5, -0.2, -5, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 30*q + 3. Let v(m) = -2*m**2 - 16*m - 22. Let i be v(-5). Let r(w) = -10*w - 1. Determine i*r(g) + 3*y(g).\nAnswer: 10*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49\/16 - -3. What is the common denominator of 89\/12 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -777 - -775. Let c = -653\/5 - -131. Put c, z, -3 in descending order.\nAnswer: c, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1045 - 1419 - 11956 + 8459*c wrt c?\nAnswer: 8459","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 120?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 309*g*i**2*l**3 + 156*g*l**3 + i**2*l**3 + 2*i**2*l**2 - 484*i*l**3 + 31*i*l**2 wrt g.\nAnswer: 309*i**2*l**3 + 156*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 10, 56, 102, 148?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 4) to base 3.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137.5 - -95. Let j = r + 42. Let k be 42\/(-8) - (-2)\/8. Which is the nearest to -1? (a) j (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2033*c**3*s*z**2 - 16*c**3*z**2 + 2*c**3*z + 498*c**2*z**2 - 33*c*z**2 + 12278*s wrt s?\nAnswer: -2033*c**3*z**2 + 12278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(1105\/(-403)) + -6\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133692 divided by 26.\nAnswer: 5142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 297094227 divided by 17?\nAnswer: 17476131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 0 - (-20 + 29).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -119 - -77. Let q be (-6)\/v + 26\/14. Suppose 102 = 3*d + 2*y, y = 3*d + q*d - 170. Does 34 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/14112195 and -52\/155234145.\nAnswer: 155234145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3723, 7441, 11159, 14877, 18595?\n\"Answer: 3718*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b**3 + b**3 + b**3)*(5 + 1 - 4) + b**3 - 2*b**3 - 2*b**3 + 3*b**3 - b**2 + b**2 in the form f + h*b**2 + l*b + x*b**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, h: 2, f: 1, v: 2, x: 1, k: 3}. Give prob of sequence lhl.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38074.28kg to tonnes.\nAnswer: 38.07428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4685000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -603019, -603016, -603013, -603010, -603007?\nAnswer: -603004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + w - 3*w - 6*w**2)*(10 - 7 - 9)*(6 - 2 + 0).\nAnswer: 216*w**2 + 48*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 6*g**2 + 6*g**3 + 16*g**2 - 1 - 8*g**2 + 16*g - 2*g**2 as v*g + f*g**2 + j + i*g**3 and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(60\/42) + -5. What is the nearest to 2 in 0.5, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - n - 2*n)*(3 - 1 - 1) + 64485*n + 43859*n + 2 - 134728*n in the form y*n + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 833 and (1825\/(-1125) + (-2)\/(-9))*-5?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40374391 - -396.\nAnswer: -40373995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2885 = -49*k + 888. Calculate the highest common factor of 98 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.11, -3, 5, -4, 10.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 1. Let y(r) = 24*r**2 - 9*r + 6. Let m = -415 + 412. Let t(j) = m*l(j) - y(j). Let g(w) = -5*w**2 + 2*w - 2. Determine -18*g(h) + 4*t(h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j - 5*s - 10 = 0, -3*s = -4*j + 10. Suppose j*p + 4*v = -1 + 5, 3*p - v = 19. Solve -5*z = a - z + 19, 0 = 3*a - p*z - 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkn when three letters picked without replacement from jnnkknnkn.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -110122?\nAnswer: 110132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w**2 - 24*w - 43. Let p(j) = -5*j**2 + 12*j + 21. Let d(y) = -11*p(y) - 6*t(y). Let v be d(-10). Suppose -3 = -3*c + 3. Solve c*s + 25 = v*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 52. Let h(a) = -3*a - 35. Let b be h(o). Is -12 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7290000 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340, -1471, -4544, -10531, -20404, -35135, -55696?\nAnswer: -83059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -3035382\/5 and -607076 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1395, 2797, 4197, 5595, 6991, 8385, 9777?\nAnswer: 11167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxxpqk. Give prob of picking 1 k, 2 p, and 1 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:33 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2579744 (base 10) in base 4?\nAnswer: 21311310200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.0801 rounded to 1 dp?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.9531026 rounded to the nearest integer?\nAnswer: -195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4 + 32. Is -7 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5556 by -6.\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 984.528 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*n - 3 = -3*o + 474*n, 16 = 4*o + 2*n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -1 - 32\/24)*3. Suppose -2*c + 40 = t*q, 2*c - 10*q + 5*q = 40. Calculate the lowest common multiple of 16 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3 = -t. Suppose 16 = t*u - 20. Suppose 0 = 4*k - k - u. Solve c - y + k = 0, -12 = -2*c + c - 3*y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(75)*-2 + -1 - sqrt(75)) + sqrt(75)*-1*6 + -3*(sqrt(75) + -1) + -5.\nAnswer: 4 + 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*a**4*n - 18*a**4 - 8*a**3 - 8*a**2*n + 634*a*n wrt a?\nAnswer: -384*a*n - 432*a - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123112 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, 3.6, 0.1, 4?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 12:48 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7963.9 + 7964. Let m be (2\/3)\/((-2)\/3). Let o be (-66)\/45 - m\/(-5). Which is the nearest to 3? (a) h (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 2*f**2 + 2*f - 1. Let a be y(1). Let l be 1\/2 + a\/4. List the prime factors of -7*(l - (-20)\/(-14)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.8474l in millilitres?\nAnswer: 78847.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.102609 months to centuries.\nAnswer: 0.0225855075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -988 divided by -4\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296 and 736.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4558.\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 11*x + 19. Let f be -4 - ((-5 - 0) + 10). Calculate the lowest common multiple of q(f) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -117*h**3 + 3*h**2 - 45*h + 80. Give a(2).\nAnswer: -934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - x + 2 = 0, -9*x + 22 = 2*i - 6*x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.301 times -8707\nAnswer: 2620.807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004 a factor of 53793413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.475 - -0.625. Let z = 0.94 - -24.06. Let x = z - v. Sort -0.3, 3, x in descending order.\nAnswer: 3, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 2*c**2 - 4*c**2)*(-4 - 1 + 4) + c**2 - 4*c**2 + 4*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*r**3 + 16*r**4 + 58*r - 58*r as o + u*r**3 + y*r + f*r**2 + i*r**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74\/3 - -24. Let v = 28 - 29. Which is the nearest to 2? (a) q (b) 0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 124*h + 516. Solve 0 = -4*i - h*i + 40 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13923658927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3652399723 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: Rearrange (-2 + 2 + 2)*(-956*z**4 - 25*z - 31*z**2 + 949*z**4 + 33*z**2) to s + h*z**4 + x*z**2 + m*z + q*z**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - (4 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, -1, 73, 6, -3\/2, -0.2 in decreasing order.\nAnswer: 73, 6, -0.2, -1, -3\/2, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) 2 (b) 0 (c) -0.4 (d) 4 (e) 0.55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2975151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 24. Suppose 2*b + 3*j = 87, -4*j + 84 = -2*b + d*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 24*i**2 - 134*i + 70. Let q be f(-10). Solve -4*p + 12 = -5*r, 11*r + 15 = 5*p + q*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + o. Let y = -16 - -14. Let n be (-16)\/(-6)*(-3)\/y. Solve 2*a + 28 = n*z, 4*z + 3*a + o = 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 19. Solve -2*d = d + r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + o**2 + 5*o + 44 - 2*o in the form v*o**2 + k*o + y and give y.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28196 and 32224?\nAnswer: 225568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 70 (b) 934 (c) 0.3 (d) 4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 10*r + 63. Let w be g(-6). Put -1\/12, -0.3, -1, w in decreasing order.\nAnswer: w, -1\/12, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**2. Let j(i) be the second derivative of -i**3\/6 + 30*i**2 - 655*i. Give j(d(p)).\nAnswer: -4*p**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 10)*(-1 + 1 - 1)*(3*t**2 - 3*t**2 - t**2)*(-2 - 1 + 5) + t**2 + 0*t**2 + t**2.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.072 + 2115790632\nAnswer: 2115790632.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 205*v + 1481. Give i(-8).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6183 < -6188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*r + 505 = 77*r - 15938 for r.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (35721\/(-690))\/(-7) + -8. Let t = -12\/115 - a. Let -t*b**3 + 1\/4*b - 1\/4*b**4 - 1\/4 + 1\/2*b**2 + 1\/4*b**5 = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1305 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*g = 18, 3*g = 11*t - 7*t + 14. Let b(i) = i**3 + i**2 - 15*i - 23. What is b(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -24132, 0.4 in increasing order.\nAnswer: -24132, -5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (4 - (1 - -1) - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, k: 2, x: 2, o: 1, s: 5}. Give prob of picking 1 x, 1 k, and 2 i.\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4476 + 1883 + 2371 + 1930)*(-5*c + c**2 + 5*c) in the form d*c + o*c**2 + l and give o.\nAnswer: 10660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/8 - (-693)\/168.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*i = -3*l - 143, 5*i + 5*l = 420. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2927 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 plus 69296?\nAnswer: 69285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 15*x - 14. Suppose -y = -2*y - 3. Let s be k(y). Let m = 56 + s. Put -1, m, -2 in descending order.\nAnswer: -1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t**2 - 6. Let j(n) = n**2. Let y(h) = -12*j(h) + 2*q(h). What is the units digit of y(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 10*c - 26. Let m be t(-6). Let o = 4 + m. Which is smaller: 4\/5 or o?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hekp when four letters picked without replacement from {e: 4, k: 2, n: 1, p: 1, h: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 14. Determine w(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3368 + -3028. What is the highest common factor of 442 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 165\/(-70) + (-18)\/126. Put -4\/9, p, 0.1 in decreasing order.\nAnswer: 0.1, -4\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19 and 954558.\nAnswer: 954577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026653 rounded to 5 decimal places?\nAnswer: 0.00267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 158\/((-348864)\/414)*((-2)\/(-6))\/(5\/2)\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -21384329\nAnswer: -2\/21384329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 45.8 times -228.638\nAnswer: -10471.6204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhghdhhhhgh. What is prob of sequence hgg?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3704179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z**3 + 11*z**2 - 3*z - 7. Let s(h) be the first derivative of -5*h**4\/4 - 2*h**3 + h**2 + 4*h + 10. Calculate -4*l(c) - 7*s(c).\nAnswer: -c**3 - 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -292096*g**3 + 7*g**2 - 5484.\nAnswer: -1752576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 6*g**2 - 6*g - 3. Let t be s(7). Suppose 0 = -5*q - 6 - 19. Let r(n) = n**2 + 5*n + 5. Let j be r(q). Which is smaller: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o - 55 = 0. Let k(c) = 3*c**2 - 33*c + 12. What is the remainder when 22 is divided by k(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-1))\/(-2)*(-28)\/(-70)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*g**3*m**3 - g**3*m + 49*g**2*m**2 + 2*g*m**3 wrt g.\nAnswer: 612*m**3 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1277b56 - -3?\nAnswer: -1277b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -27 - (-121 - -145)) + 105.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -689, -674, -659?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8334027913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 3:26 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(13))*5)**2 + sqrt(13) + 2*sqrt(39)\/sqrt(3).\nAnswer: 3*sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*f - 31 + 52 - 23.\nAnswer: 369*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -14104.8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v**2 + 3*v - 12. Let p(d) = -15*d**2 - 9*d + 35. Give -4*p(s) - 11*z(s).\nAnswer: 5*s**2 + 3*s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r. Let x(i) = 33*i**2 + 27. What is w(x(p))?\nAnswer: -66*p**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/24 - 86\/(-12) is divided by (-9)\/(-4) + 4\/(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = -0*v. Let i be 2\/(4*v\/(-12)). Let j = -7 + i. Sort 2, j, 1.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzozlqzwomllwmmlzllo. What is prob of sequence ozm?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7089957286?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-477)\/53*(-28)\/(-18)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (3 + (-17 - 5)). What is the remainder when 34 is divided by t + ((-8)\/(-5))\/(4\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + a - 16 = 3*a, 2*a - 4 = 0. Suppose -w + c + 4 = -0, 10 = h*c. Solve w = 3*s - 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3706 - 1855 - 1850 - 22*k**2. Let p(t) = 22*t**2 - 1. Calculate -3*a(m) - 4*p(m).\nAnswer: -22*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/15 of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-604)\/2114*21\/(-318)\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*k = -285, -169 = 3*d - 0*k + k. Let v = d - -55. Which is the third smallest value? (a) 3 (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 31*u**2 - u - 66. Let n be -3*((-2)\/6 - 0). What is the remainder when p(n) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 71*l + 23*l - 20*l.\nAnswer: -68*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 1, x: 1, f: 2, a: 1, b: 1}. What is prob of picking 1 a and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcfffwgmwkmfm. Give prob of sequence ww.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15173499*k - 17409514 wrt k.\nAnswer: 15173499","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1961195.\nAnswer: 5, 392239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3 - 129*n**2 - 4347*n - 11907 = 0. What is n?\nAnswer: -63, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33e87 - 3?\nAnswer: -33e8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -108\/5 + 7781\/360. Let i(w) be the second derivative of 0 + 0*w**2 + 1\/36*w**3 + f*w**4 + 4*w. Let i(u) = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -35 + 1 + (51 - 21)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 14*v**3 + 3*v**2 + v + 7. Let z(s) = 44*s**3 + 10*s**2 + 4*s + 20. Give -10*l(u) + 3*z(u).\nAnswer: -8*u**3 + 2*u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 365 in decreasing order.\nAnswer: 365, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 149892625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5419*k + 15572 with respect to k.\nAnswer: -5419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26 - 8 - (0 + 6). Let r(o) = o**2 + o - 61. Calculate the remainder when r(x) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**4 + 120817*i**3 + 46*i**2 + 180386*i.\nAnswer: 24*i + 724902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 79\/772229 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 9:54 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - 63. What is the units digit of (-5)\/(l\/147) + 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2576 by 7.\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/30*6*(8086350\/144398 + -56)?\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -80. Let y = d + -26.89. Let o = y - 0.11. Which is bigger: o or -23?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwwv when four letters picked without replacement from wwjjvv.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(55)*-2*-1)\/sqrt(5).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1304705 and 0.3?\nAnswer: -0.03914115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = -2*q + 2*r + 485, 5*r = -3*q + 249. Solve 102*d = 53*d - q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -45284, -181490, -408608, -726632, -1135556, -1635374, -2226080, -2907668?\n\"Answer: m**3 - 45462*m**2 + 173*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51008870?\nAnswer: 2, 5, 11, 463717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 22*b**2 + 252*b + 491. Give m(-2).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -53*h**2 + 4*h - 3. What is g(2)?\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 704444 by 437.\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*10\/(3\/(-9)*21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0 + (1 - 3 + 4)*(1 - 1 - 2))*(-2*p + 3*p + 0*p) + 2*p + 5*p - 3*p)*(p + 1342*p**4 + 26*p - 1343*p**4).\nAnswer: 2*p**5 - 54*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19547198 and 5203?\nAnswer: 215019178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*j - 147*j + 159 = 39*t, -4*j = 4*t - 20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2068\/(-423) + (-2)\/18 + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*t = -126*t + 376. Suppose -67 = -4*l - t. Let s(j) = 2*j + 1. Let d be s(4). Solve 0 = -l*w - d - 16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6.16 (b) -0.1 (c) -1.323\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k + 4*k**2 + 2*k + 4*k. Let f be h(-1). Suppose -9 = 3*s, -4*s - 7 - 29 = -f*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4465 divided by 36?\nAnswer: 4465\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 609\/1365 - (-15)\/(-25)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -171 - -160. Sort -4, f, -2, 3 in descending order.\nAnswer: 3, -2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/(-8)*28\/(-21). Suppose -o*f + 2893 + 453 = 0. What are the prime factors of f?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (sqrt(13) - sqrt(13)*-5)*-6 - sqrt(39)\/sqrt(3)*-6.\nAnswer: 43*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245 and 11155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyml when four letters picked without replacement from {l: 1, m: 2, y: 4, q: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*l**3 + 32*c**2*l + c*l**3 - 76*c*l wrt c?\nAnswer: -2*l**3 + 64*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-680)\/20*24\/136.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1816 or 448912\/247?\nAnswer: 448912\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.031 and 10796031 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -74) + (-9 - (-10 + (-3 - -7)))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/21)\/((-15)\/30)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781061610?\nAnswer: 2, 3, 5, 7, 3719341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*1\/6*135. Let j(s) = 32*s + 164. Let l be j(-4). What is the highest common divisor of f and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220000120 + 11?\nAnswer: -1220000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) + 32\/6. Let h be (-4)\/(-5)*5\/2. Suppose h*p - 9 = -p. Solve p*x + 5*z - 22 = 0, -7*x + 2*x + b*z + 10 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, h: 2, c: 3, z: 7, k: 1, g: 1}. What is prob of sequence gz?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t**5\/5 + 2420214*t**4\/5 + 15126542*t**3\/5 + 32673476*t**2\/5 + 26622888*t\/5 + 4840528\/5 = 0 for t.\nAnswer: -2, -1\/4, 302533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*v - 90. Is 2\/10 + 4138\/v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4015475644 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3.2. Let l = -1 - -165. Let y = -659\/4 + l. Which is the closest to -1\/2? (a) -2\/3 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6324 and 345588.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 5:21 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -121, 287, 991, 1991, 3287, 4879?\n\"Answer: 148*t**2 - 36*t - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00075 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11 + -4 - (-7 + 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q - 12. Let p be n(4). Let u = 549 + -522. What is the second derivative of -m**4 + 41*m + u*m**4 + 0*m**p wrt m?\nAnswer: 312*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260 by 2.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 65 + 30 - o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q - 12. Let v = -68 - -101. Let o = v - 21. Let a be j(o). What is the greatest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70518)\/(-6643))\/(18\/(-117)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/273, -4176, 2.\nAnswer: -4176, -4\/273, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-42))\/((-270)\/(-315)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.3 + 8. Let g = 0.4 - -0.6. Let p = g + -2. What is the closest to p in z, -0.1, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 + 46\/6. Let k(v) = -v**2 - 8*v + 88. Let z be k(-14). Let r be (9 - z) + 10\/(-3 + 5). Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 35 = 5*p. Suppose p*v - 44 = 3*v. Let u = v - -1. Solve -4*a - u = 4, -2*b - 4*a = 18 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwf when three letters picked without replacement from {w: 10, f: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 - 119*t + 104. What is the tens digit of u(-34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/(-675))\/(1\/((-30)\/(-27))*2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 165 - 166 - l - 2*l**2 - l**2 - 2*l**2 + 6*l**2. Let v(r) = 3*r**2 - 5*r. Calculate -4*k(q) + v(q).\nAnswer: -q**2 - q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/42 and 37\/458628.\nAnswer: 3210396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 25*i + 699. Calculate d(26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-5 - (5 + -3)) + -5 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaeaeeaaea. What is prob of sequence eeaa?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67695039 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161 + -121. What is the greatest common factor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -20, l = 3*p - l - 95. Suppose 0*c - 56 = -4*c. Suppose 29 = 3*f - 5*b, -5*b + c = f - p. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -221323030320?\nAnswer: 221323030330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b**9*b))\/b**(1\/8))**(-6)\/((b**5\/b**(2\/5))\/(b**(3\/7)*b*b*b\/b**(3\/8)*b*b)) assuming b is positive.\nAnswer: b**(15457\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b8 - 43dd?\nAnswer: -4325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 456*o - 58. Let v be d(2). Suppose -v = 4*y + 2*z - 3436, 4*y + 5*z - 2579 = 0. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124 - -236. Suppose 8*q - t = 4*q. Calculate the remainder when ((-82)\/(-3))\/((-6)\/(-18)) is divided by q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-120)\/75)\/(2\/(-5)). Find the second derivative of -7*z**4 + 2*z**r + 3*z - 7*z**4 - z wrt z.\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*a - 8 = 0, -3*a + 18 = 5*k - 10*k. Let v(u) = u**2 + u - 4. Let t(x) = x**2 + 2*x - 3. Let l(y) = 6*t(y) - 5*v(y). What is l(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8)*7*(215\/(-20) + 11).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1374291, 2748599, 4122907, 5497215, 6871523, 8245831?\n\"Answer: 1374308*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 4*r + 17, -3*m - 1 = -r - 2*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09676654 rounded to 3 dps?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -316, -297, -262, -205?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -679493.696915 from 1254.\nAnswer: 680747.696915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i. Let c(x) be the second derivative of x**7\/2520 + 4*x**4\/3 + 17*x. Let y(h) be the third derivative of c(h). Determine y(l(r)).\nAnswer: 49*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, l: 1, w: 3, n: 1, p: 3, o: 1}. Give prob of picking 2 p.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002\/5 greater than -51675\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4 + 84365*u**3 - 84364*u**2 = 0 for u.\nAnswer: 0, 1, 84364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121856.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 398068a (base 12) to base 4.\nAnswer: 223112133022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2873 + -1330. List the prime factors of u.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-7)\/2 - -3). Suppose 4*b - f*b - 8 = 0. Suppose -b*u = 2*w, -5*u + 0*u = -w. Sort -1, 3, u.\nAnswer: -1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 90, 124, 156, 186, 214, 240?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7053 - -317387\/45. Let s(q) be the first derivative of 13 - a*q**3 - 1\/30*q**4 + 0*q**2 + 0*q. Find h such that s(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -2\/21*d**3 - d + 0 - 1\/14*d**4 - 1\/70*d**5 + 0*d**2. Let b(s) = 0. What is s?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.11 (b) -1.3 (c) -238 (d) -7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276172720 divided by 38312?\nAnswer: 33310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10381 is divided by 3355.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -136, -280, -424?\n\"Answer: -144*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + 15126?\nAnswer: 15116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61 and 5917?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -7. Let k be (4\/10)\/(-4 - (-122)\/30). Let u = n + k. What is the highest common divisor of 143 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2 - 6 = 0. Find the common denominator of ((-8)\/(-20))\/((-76)\/(-513)) and y - -2 - (-444)\/(-64).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -13536305805281?\nAnswer: 13536305805285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-66) + (-147)\/(-77). What is the remainder when 171 is divided by r\/(456\/(-1290) + (-2)\/(-5))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 3*j = -v - 47, -3*v = 2*j - 28. Let a = v + 14. Suppose -569*r = 415*r + 304*r - 16744. What is the remainder when a is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/14 and -113\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 2*d - 135. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-66)\/21 + ((-36)\/42 - 0). Let p(z) = -1. Let l(m) = 3*m - 5. Calculate q*p(v) + l(v).\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b81a + 24a?\nAnswer: -1b5c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45.7 - 45.8. Which is the nearest to d? (a) 4 (b) 4\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 25*j**4\/6 - 250*j**3\/3 - 348*j. What is the second derivative of p(k) wrt k?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.08 - -0.08. Let h = -1 - q. What is the closest to 1 in 3\/2, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 458641570 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4982, 5818, 6654, 7490, 8326?\nAnswer: 9162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -18864 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14256428 or -14256433?\nAnswer: -14256433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfk when three letters picked without replacement from ffkkfffkfk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 15*d + 43030 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m\/((m\/(m*m*m**1))\/m))*m**(-2)*(m*m**(1\/3)\/m)**(-19\/6) assuming m is positive.\nAnswer: m**(-127\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 166*i**3 - 5368*i**2.\nAnswer: -i**2*(i + 44)*(i + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -189 + 168. Let v = -485.894 + 464.9011. Let c = v - b. What is c rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 1, i: 1, d: 3, y: 2, n: 4}. What is prob of sequence dq?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1377407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341*w + 28 = 348*w. Suppose -4*b + 2 = 6, -4*b = w*t - 2508. List the prime factors of t.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*y - 261, 4*y + 1290 = 5*k - y. Let s = -5 - -20. Calculate the highest common divisor of k and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s - 3*s)*(-98491 + 2*s + 98489 - 216*s**2 - 3*s).\nAnswer: 432*s**3 + 2*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 504624539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.31 - -0.16. Let k = 4.15 + b. Suppose 21 = 3*d + 6. Sort -3, d, k in increasing order.\nAnswer: -3, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 9*c - 228. Is -2\/25 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3))**(-4))**16*(d**(-3)*d*d**(-1\/3))**(-31) assuming d is positive.\nAnswer: d**115","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -23*l. Let m(b) = b + 52. Calculate j(m(v)).\nAnswer: -23*v - 1196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191490 (base 12) to base 14.\nAnswer: b5804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 895344728 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(1\/8*(-2945)\/(-589)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 9:01 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 602304 (base 11) in base 7?\nAnswer: 11145023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and 10814790652.\nAnswer: 10814790658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11975 and 11496.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -7*k**3\/3 - 17*k**2\/2 - 7*k. Does 10 divide g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4. Suppose -5*g + 11 - 31 = 0, 5*s = 5*g + 45. Is b at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -25, 0 = -4*f + 3*o - 0*o + 103. Calculate the highest common divisor of 66 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24001 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 78386*g**2 - 4*g + 2. Let r = -5 - -11. Let y be m(r). Let a = 778126 + y. What is a rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -27885\/24532?\nAnswer: -27885\/24532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -1\/273*u**7 - 1\/60*u**6 - 4*u**2 + 1\/156*u**4 + 2\/39*u**3 - 3\/130*u**5 + 0 + 0*u. Find t, given that f(t) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20020303202 (base 4) to base 14.\nAnswer: -3d75aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 99387*g**2 + 5*g - 5*g + 18 - 99406*g**2.\nAnswer: -19*g**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 158 = -15*z. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167846783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 298 and 4?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 + 0*o**2 + o**2)*(63*o - 63*o + 4 + 4*o**2) to i*o**4 + y + s*o**3 + r*o**2 + l*o and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279605311.\nAnswer: 19, 139, 105871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32744493 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -f - 18, -4*f - 1 = -2*w - 9*f. Let n = w - -4. Let r be -14*(-4)\/(-6)*n. Calculate the greatest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 12. Let k(c) be the third derivative of c**6\/60 - c**5\/12 - c**4\/4 - 2*c**3\/3 - 7*c**2 - 3*c. Is k(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 542*o**3 - 5*o**2 - 3*o - 6. Let f(c) = -541*c**3 + 4*c**2 + 2*c + 4. What is -3*f(b) - 2*x(b)?\nAnswer: 539*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + -53.382. Round c to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.0434199 + 0.5?\nAnswer: 4.5434199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4244 (base 7) to base 2\nAnswer: -10111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 68*n - 666. Let k be b(-16). Solve 7*c - 110 = -k for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 36*p**2 + 67*p + 33. Let b be n(34). Let w(f) = -48608*f - 15. Is w(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((d\/(d**(-6)*d))\/d*d)\/d*d*d)\/d)\/d**(3\/2)*d*d**(-7)*d*d**1)**25)**(3\/14) assuming d is positive.\nAnswer: d**(75\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-139.\nAnswer: 27.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 2*j + a, -j + a + 31 + 1 = 0. What is the least common multiple of j and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19341834.\nAnswer: 2, 3, 401, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 21 = p, 4*p - 3*p = 5*o - 27. Let w be (-1 - -25)\/(4\/o). Suppose 3*k = -k + w. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y - 30. Let j = -741 + 736. What is v(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**4 + 130*a**3 - 5666*a.\nAnswer: -48*a**2 + 780*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*z - 4, -3*z + 24 = 2*n + 3*n. Solve -10 = -3*u + q, 7*u = n*u + 3*q - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.15 (b) 2\/11 (c) 2 (d) -0.07 (e) 1147\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*i*s**3*x**2 - 19*i*s**2*x - 13541*i*x**2 + 22*i + 322*s**3*x + 2*s**3 - 2*s**2 wrt x.\nAnswer: 42*i*s**3 - 27082*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-8) - (5 - 11)\/(-24). Solve 3*f - 4*f + b = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1220010 (base 3) to base 5\nAnswer: 21010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -40.979. Let f = 0.02100087 + x. Round f to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 6:32 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/16*2*146. Suppose 21 = -d - 30. Let g = o + d. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119 + 119.1. Which is smaller: 611 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.28 + 23. Round l to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001001111 - 101000110010?\nAnswer: -111010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 27*f**3 + f**2. Let m(y) = 27*y**3 + y**2. What is 5*m(s) - 6*x(s)?\nAnswer: -27*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 281780*y - 16343195. Calculate x(58).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 633*v + 224. Is q(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -1\/20*l**5 + 3*l**2 + 0 + 1\/2*l**4 - 5\/6*l**3 - 3*l. Let a be f(5). Which is greater: 5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -7 (c) 3\/8 (d) -4.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 13*r**3 - 7210*r**2 + 4433*r - 574. Calculate g(554).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2))**(11\/6)\/(l**(-1\/3)*l\/l**(-6)))**(2\/37))**(1\/11) assuming l is positive.\nAnswer: l**(-62\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + h + 1. Let i be d(-2). Suppose -i*z + 12 = -3*f, 4*z + 4*f - 2 = 6. Suppose -5*b + 4 = 24, 4*p - z*b = 12. Let s(r) = r - 6. Calculate s(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 w, and 1 y when four letters picked without replacement from worfrwwrrrfrafyyrr.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqfjqjkqfjffjfj. Give prob of picking 2 q and 1 j.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/3 + 3028*w**2\/3 - 140875*w\/3 + 1626146\/3.\nAnswer: (w - 23)**2*(w + 3074)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*l**2 + 2 + 4*l**2 - 11*l**2 - 7*l**2 to the form o + m*l + v*l**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19691 and 447461.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 q when three letters picked without replacement from {q: 1, r: 2, o: 2, s: 3, n: 2, a: 4}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -553 divided by -4\nAnswer: 553\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-1 - (-1012)\/48)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13358 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104374.\nAnswer: 2, 23, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637714 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2771 is divided by 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 256 + -256. Which is the closest to 2? (a) 3\/4 (b) 2\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 30 = -10*y. Let n be (5\/(-3))\/((-2)\/y). Suppose 0 = -n*i + 1102 - 327. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f + 2*a - 304, 4*a - 200 = -2*f. Suppose -5*b + f = g - 11, -2*g - 73 = -3*b. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 25*u**2 - 47*u + 39. Let z be n(23). Find the second derivative of 26*w - w**2 - 49*w + 30*w + z*w**2 wrt w.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34084, 68092, 102102, 136114?\nAnswer: 170128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25)\/30*4\/10. Let k be 18\/1224*17 - (-34)\/(-8). Which is the closest to q? (a) -2\/5 (b) -3\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 6*h**2 - 4*h - 18. Let g be k(-6). Is (2067\/g)\/(2\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oko when three letters picked without replacement from ooookkkoe?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i + 3095 = 0. Suppose 0 = 5*h + 2*g - 5988, -i = -h - g + 581. Suppose 0 = -2*n - 2*n + h. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttti?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 10 = -3*v, -447*s - 4 = -5*v - 450*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 1, w: 1, j: 3, e: 1}. Give prob of picking 1 p and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**4\/12 - 9*g**3\/2 - 3*g**2. Let f(s) = 305*s - 1224*s + 307*s + 302*s + 304*s. What is k(f(t))?\nAnswer: 12*t - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/5 - 849821*t**2 + 2256862724904*t\/5 - 1128430300176\/5 = 0.\nAnswer: 1\/2, 1062276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {q: 3, h: 4, n: 3, d: 3, z: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**4\/32 + 13*h**3\/2 - 507*h**2 - 2*h + 298. Factor b(t).\nAnswer: -3*(t - 52)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*q**2 - 36*q**2 + 4*q**3 - 39*q**2.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 1)*(-1)\/(-2). Let l = 2 + t. Suppose 2*w - 1 = l, 0 = 2*i + w - 19. Solve 2*v = -v + i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895 >= 1833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 + -72. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -a + 5*s - 5, -a - s - s = -6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 13*m**2 + 48*m + 44. Let o be z(-7). Which is the second smallest value? (a) -2 (b) 3\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a day in minutes?\nAnswer: 7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -250*h - 74549. Calculate p(-300).\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -6, 51, 31, 0, -18.\nAnswer: -18, -6, -5, -4, 0, 31, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o**2 + o - o**2 + 2 - o in the form n*o + h + c*o**2 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p - 4*p + 19*p)*(-6 + 7 - 6)*(0 + 3 + 0) to the form k + x*p and give x.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -127*o - 7936632 + 31284185. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0 + 2 + 0 - 3 + (3 - 2 + 1)*(-1 + 0 + 4))*(0 - 2*h + 0 + (-h - 2*h + 2*h)*(-1 + 5 - 2)).\nAnswer: -32*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fflffflfff. Give prob of sequence lfl.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -658928605*j*n**3 + j*n**2 - 4*j*n + 16*j - 24329*n**2 - 6*n + 1 wrt n.\nAnswer: -3953571630*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3531*q**3 - 126*q - 21. Let u(a) = 706*a**3 + 24*a + 4. Determine 21*u(c) + 4*w(c).\nAnswer: 702*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(8 + 4 - 13)*(3*r - r - 5*r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 11894.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312549559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16413372 - 8?\nAnswer: 16413363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43352 + -24763. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*d**4 - 120*d**3 - 16*d**2 - 259*d + 122*d + 108*d**5 + 169*d = 0. Calculate d.\nAnswer: -1, -2\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8595 + 8897. What is the lowest common multiple of h and 151?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -23. Suppose 0 = 4*f + 4*o + 12, -o + c = -5*f - 4*o. Let n(l) = 2*l**2 - 4. Let z be n(f). Solve -2*p = 5*q - 18, z = -2*q + 5*p + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -21147400*f + 34426. Let q(v) = 7371*v - 12. Let m(w) = -6*k(w) - 17213*q(w). Let l(s) = -2*s. Determine l(m(j)).\nAnswer: -14754*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 539740892?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -49. Solve y*i - 8 = -4*k, -3*k = -4*k + 3*i + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4886*4\nAnswer: -19544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 12*o + 7*o - 19 = 0, 0 = s - 3*o - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = a + 3*a - 8, 0 = 2*q - 3*a - 14. Suppose 0 = -5*d + 2137 - 242. Suppose -3*u + 2*t + 250 = -d, -8 = -q*t. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 0*g**2 + 0*g**2 - g**2 - 4*g + 4*g + (g - 4*g + 6*g)*(-g - 3*g + 5*g))*(4 + 0 + 0).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) -0.4 (c) 4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + sqrt(931) + sqrt(931) + (2*sqrt(931))**2 + sqrt(931).\nAnswer: 21*sqrt(19) + 3733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -494.316 and 0.14?\nAnswer: -69.20424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 402 + -134. Let h = u - 283. Let c(m) = -m**2 - 5*m + 1. Let f be c(-4). Put -2\/9, h, f in ascending order.\nAnswer: h, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(3\/13))**37\/(y*y*y**(-18)*y*y)**(-1\/11))**(-1\/55) assuming y is positive.\nAnswer: y**(-3888\/7865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 84 (base 12) to base 10\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4689 and 5210?\nAnswer: 46890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 3*f - 3*f)*(0 + 3 - 1)*(212*f**2 - 783*f**2 - 202*f**2).\nAnswer: -3092*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26229 + 4?\nAnswer: 26231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -34*(-3)\/27 + (-18)\/(-81). Let m be ((2\/(-1))\/6)\/(w\/60). Let o be 10\/(-3*m\/(30\/(-4))). Is -0.07 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5823516, -5823517, -5823518?\n\"Answer: -y - 5823515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 4*m**2 - 5*m. Let o be q(-4). Solve -3*w - o = w, -g = 5*w + 29 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 5*v + 2. Let b = 55 - 110. Let f = b + 111. Suppose 27*j - 20*j = f. What is p(j)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94418033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 9*h**2 + 604*h - 4890. What is q(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276 + 28 = 54*b - 130*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (9 + 14 + -15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*r - 1 = 7, -5*r - 15 = 0. Suppose d*i - 2*i = 5*p + 23, 0 = -5*i - 4*p - 25. Let b(f) = -8*f**3 + f**2 + f + 1. Give b(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 837 and 4183\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 4*p**2 + 6*p + 5. Suppose -q = -l + 2, -l + q - 13 = -3*l. Suppose -2*t - 7 = l*z + 8, t + 5*z = -10. Give r(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13749 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, m: 6}. What is prob of picking 1 m and 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 557*k - 3901. Calculate r(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 47*y**3\/3 - 2*y**2 - y. Let i be h(-3). Let l = i + 607\/2. Calculate the common denominator of 91\/10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019545185 rounded to four dps?\nAnswer: 0.0195","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 255 - 532. Let y = -114 + 116. What is the units digit of (y - l\/2) + 12\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (146*(5 + -4))\/(-2). Let v = 76 + a. Solve 0 = -3*u + r - 16, 6*u - v*u - 4*r = -28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.4, -0.078, 4 in decreasing order.\nAnswer: 4, -0.078, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859 is divided by 234?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47016869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 1\/3, 0.3, 5 in ascending order.\nAnswer: 0.06, 0.3, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -1) + (0 - -11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6144, 23990, 53730, 95364, 148892, 214314, 291630?\nAnswer: 380840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 2*b**2 - 2*b - 1. Let y be j(-2). Let v = y - -21. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 9:37 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 4*f + 3. Let s(q) = -q**3 - q**2. Let c be s(-2). Let t be a(c). Find the first derivative of -11*u**3 + 5 + u**t + 5*u**3 + 0*u**3 wrt u.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2377 a factor of 308265999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98.27 + 7.17. Let d = 86 + n. Let o = -5.1 - d. Which is the closest to 5? (a) o (b) 4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 20 (b) -1 (c) 8\/39091\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + 3*c**4 + 0*c**4)*(-123*c - 9 - 188*c + 9).\nAnswer: -311*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a. Let x be (1\/2)\/(7\/224). Suppose -5*g + x = 6. Solve g*l = -a*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1702532)\/5914831 + (-3)\/31?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -5*s**7\/14 - s**6\/2 + 24*s**5\/5 + 10*s**4 + 8*s**3 + 26*s**2 + 3*s. Solve d(f) = 0 for f.\nAnswer: -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4329457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158.33 + -158.03. Let v = -61\/39 - -3\/13. Let i = -0.509 - -0.009. Which is the second biggest value? (a) f (b) v (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 8:10 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002613 rounded to 5 decimal places?\nAnswer: -0.00261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 251 - -2283740?\nAnswer: 2284101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*u - 8*u - 72 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 152015, 151994, 151973?\n\"Answer: -21*s + 152036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s = 12. Solve 3\/4*x**s + 3*x + 3\/4 + 3*x**3 + 9\/2*x**2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 359298986*u*x**2 - 3*u - 202723*x wrt x.\nAnswer: 718597972*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**4\/6 - 229*l**3\/3 - 7232*l**2\/3 - 42944*l\/3 = 0.\nAnswer: -22, -8, 0, 488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 54254562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 6:07 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-6) - (-4 + 2). Let r = -0.3 + 0.8. Which is the nearest to g? (a) 0.1 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and 8.982.\nAnswer: -1.07784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 14 - 10 + 17. Let r be l(4). Let c = r + 19. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jriijddfdjqjjddfdqi. Give prob of picking 1 f and 1 q.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7292364227 less than -2?\nAnswer: -7292364229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -12, -1\/15, 2, -5?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -6*u. Let y(z) = -z**3 + z**2 - z + 8. Let f be y(u). Find the second derivative of 6*g + 4*g**4 - f*g**4 - 4*g**4 wrt g.\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + 0\/(-1))\/2. Differentiate -5*p**3 - v*p**3 - 4 - 3 wrt p.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4428.52697*1\nAnswer: 4428.52697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 748cb3 - 0?\nAnswer: 748cb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -15. Let r = 4 - l. Solve -r*o - 2 = -2*t + 11, 2*t = 5*o + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1733 is divided by (-6)\/4*306\/(-27).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132529?\nAnswer: 132529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {s: 3, m: 9}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 80 + 70. Let j = v + -28. Sort j, -4, -10 in ascending order.\nAnswer: -10, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24 and -132?\nAnswer: 3168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 99 + -71676?\nAnswer: -71588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -6444\/2269?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 47*t**2 - 43*t - 78. Calculate the remainder when b(46) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-368)\/276*(-12)\/56*(392\/6)\/4.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 2*h + 5*h)*(-4 + 4 - 2)*(-5 - 3 - 1)*(-1 - 2 + 4).\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -7, 2, 0, -523, 1.\nAnswer: -523, -32, -7, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 3. Let d be x(-5). Let c be (-6)\/d*(-568)\/24. Let w = -42 + c. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6147 + 3546*r - 3153 - 2994)*(-3*r + r + r).\nAnswer: -3546*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r**2 - 4*r + 4. Let y be k(3). Suppose -5*v - 184 - 1 = 0. Let u = v + y. Calculate the remainder when u is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)*1*-5)\/(sqrt(396) + sqrt(44))*-6 + 2)**2.\nAnswer: 15*sqrt(5) + 1189\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (7774\/2535)\/((-12)\/(-90))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31332870512 - 31332870512 - y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -671 (base 9) to base 12\nAnswer: -39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 25*i + 9 + 2*i**3 + 23*i**2 + 4*i**3 - 21*i**2 - 3 as l*i**2 + u*i**3 + j + b*i and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**3\/7 - 24137556*u**2\/7 - 48551776666863*u\/7 + 97103649883974\/7 = 0.\nAnswer: -4022927, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -65. Put k, 20, -3 in ascending order.\nAnswer: -3, k, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003418 rounded to 6 decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 65 = -5*t, -t - 2 = -4. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 12 = -20. What is the units digit of 3040\/70 - c\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-16.428\nAnswer: -0.49284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-560)\/90 - (-6)\/(-9) and -113\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 1:18 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.46 - -0.46. Let m = 22 + y. What is the third smallest value in m, 1, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, w: 2}. What is prob of sequence waaw?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/3 + 56*y**4 - 1878*y**3 + 31428*y**2 - 262440*y + 874800 = 0.\nAnswer: 15, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 212*o**5 + 78*o**3 + 28981*o**2?\nAnswer: 12720*o**2 + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 15*s**3 + 12*s**2 - 36*s + 60. Give n(3).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -307318688, -614637380, -921956072, -1229274764?\n\"Answer: -307318692*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7983 or 8368?\nAnswer: 8368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 0*a - 4*a + 0 = 2*w + 5, -67 = 4*w + 59*a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2*0\/2. Let h(r) = r**2 + 2*r - 5. Let d be h(-4). Suppose -12 = d*b, -4*v - 4*b - 4 = -b. Solve v*i + z*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 52015*h + 25 - 56.\nAnswer: -52015*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(68)*3)**2 + (1*sqrt(68)*6 - sqrt(68)) + (sqrt(68)*1 + -1)**2.\nAnswer: 6*sqrt(17) + 9861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 79 - (0 + 15\/(-3)). Let b be -4*((-8)\/(-2) - g\/16). Suppose -4 = -b*s + s - 3*v, 3*v = s - 1. Solve -2 = m - s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427 (base 12) to base 3.\nAnswer: 211111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.286 minus 0.157459?\nAnswer: 1.128541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 648033 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-20)\/(-135))\/2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**2 + 3*f**2 - 2*f**2)*(-2 - 11 + 7) - 2*f - 4 + 4 + f**2 - 4*f**2 + 13*f**2 - 4*f**2 in the form w*f + m*f**2 + r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3 + 18*x**2 + 33*x + 16 = 0. What is x?\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, -1, -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001068124 to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -2*z - 0*z. Let u be (-9975)\/342 - 3\/(-18). Let p = u - z. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-13))\/(-5 - -1). Let y = -212 - -376. Let c = y + -165. Which is bigger: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -227 (base 15) to base 3.\nAnswer: -200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 2\/7, -1\/13, 287?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/9 and 9\/1078324.\nAnswer: 9704916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5340233 (base 7) to base 12.\nAnswer: 273288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**2 + 65*z. Let d(v) = 3*v**2 + 31*v. Give 5*d(u) - 2*q(u).\nAnswer: 5*u**2 + 25*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, e: 2, n: 3, d: 2, q: 1}. Give prob of sequence nesd.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 14 - 6 + 20.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 38.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14875001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3554171702?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -652*a - 9772. Calculate g(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.02 - 0.02. Is -0.01 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189\/12*(-5952)\/(-3472)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1956\/8476)\/(59\/13)?\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m = 0. Let f be m*(0 - (2 - 1)). Suppose 4*l + 26 = 2*v - 0*v, -v = -4*l - 11. Solve f = 2*j + 3*j - v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 2*b**3 - 3*b**2)*(5*b - 6 + 6) - 6*b**4 + 4*b**4 - 2*b**4 + (b + 0*b - 2*b)*(-4*b**3 + 5*b**3 - 2*b**3).\nAnswer: 7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 12*p - 15, 3*p = 4*d - 291. What is the greatest common divisor of d and 94?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 43*g + 1730. Let m be p(-40). Solve m*a = -3 - 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**3 - 3*n**2 + 2. Let k(m) = -m**3 - 3*m**2 - m - 4. Let s be k(-3). Let p be c(s). Let t be -2 - 3\/(p\/(-14)). Solve 0 = t*j - 2 - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111111001 (base 2) to base 6.\nAnswer: -11025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 74, 145, 216, 287, 358?\n\"Answer: 71*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + 15. Let c = -388 + 355.56. Let b = n + c. What is b rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/4*9\/(-90)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(4 + 0 - (16 - 13)). What is the second smallest value in -3, r, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.0000035 - -1. What is d rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 + -76. What is the greatest common factor of 72 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1050891, 1050885, 1050879, 1050873?\n\"Answer: -6*y + 1050897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c**(-3))**49\/((c\/c**3)\/c**(-6)*c**4*c\/c**(-6)*c) assuming c is positive.\nAnswer: c**278","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 6 + 58 = -19*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 5*o**2 - 3. Let p be r(-5). Let v = 2 - p. Let d = -10039 + 10047. Calculate the remainder when d is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -242 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -3 (b) 0.5 (c) -4 (d) -2\/7 (e) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0)\/(2\/(-18)). Let l(s) = -s + 31. Let y be l(-14). Suppose 129 = 6*g - y. Solve -5*d - u = -g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1398, -0.2, 3\/8, 4, -3, 0.17 in descending order.\nAnswer: 1398, 4, 3\/8, 0.17, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 3*k + 6. Let s be h(0). Suppose -28*u + 22*u = -s. Let m(b) = -14*b**3 + b**2 - b + 1. Calculate m(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -7*r + 5. Let u be 2 + (r - 1)\/1. Solve 8 = -u*z + 3*t - 7*t, 3*t + 6 = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22312*f**4 + 3660*f**2 + 3653*f**2 + 3655*f**2 - 10965*f**2 + 0*f**4 + 4*f**4 - 2*f**4 + (6*f**3 - f**3 - 3*f**3)*(0 + 0 + f).\nAnswer: -22308*f**4 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*3376\/173020.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 - 97. Solve -2*u = -m*c - 6, 4*c + 9 = -u - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 108*h*x + 185410*h + 54868*x - 186 wrt x.\nAnswer: 108*h + 54868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3\/6 - 163*x**2\/2 - 1045*x\/6 + 10311\/2 = 0.\nAnswer: -9, 7, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127136 (base 8) in base 4?\nAnswer: 1022321132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*k + 143*k**2 - 150*k**2 + 11*k**4 + 70*k to u*k + s*k**2 + c*k**3 + p + y*k**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 35*n + 100. Let o be x(4). Solve 36 = o*f + 100 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/662 (b) -2\/21 (c) -2\/5 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 86\/5 (b) -5 (c) -0.15 (d) 0 (e) -2\/139 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6248\/25 + -250. Is o >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2. Let j(v) = 19*v - 2214 + 11*v + 847 - 13*v - 18*v. Give j(z(f)).\nAnswer: f**2 - 1367","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y + 14. Let z be n(-5). Let i = 8 + z. Solve 0 = -3*d + d - i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 12:49 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2104 - 9.62608431?\nAnswer: -2113.62608431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfyfgfffyyymgdyymy. Give prob of picking 1 m, 2 g, and 1 f.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/1867 and -81\/440.\nAnswer: 821480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 137*f + 11 - 2 to the form j*f + s and give j.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 208 - 158. Let v = n - 47. What is the biggest value in 1, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1528, -3057, -4586, -6115?\n\"Answer: -1529*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(847) - sqrt(847) - (sqrt(252) + sqrt(28)))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*l - 2*z - 35, 5*l + 5*z - 35 = 0. Let f = -5 + l. Suppose f - 1 = c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0664 + 0.06639728. Round v to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 16*u + 16*u - 131*u**3 - 327*u**3 + 120*u**3.\nAnswer: -338*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umvm when four letters picked without replacement from vufmyvmy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**2 - 4. List the prime factors of f(4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 1\/(1\/2). Suppose 16 - 8 = n*v. Suppose 3*t - 13 = -5*q + 4*t, 19 = 2*q - 5*t. Solve v*s + 2 = -q*b - 4, 2*s - 5*b = -21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2028 is divided by 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 3:19 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**18\/(q**(1\/4)\/q) assuming q is positive.\nAnswer: q**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-40))\/((-30)\/(-250)*55)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -1, 26, 0.3 in descending order.\nAnswer: 26, 3\/7, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -29 - 28 + 96 - 5*s**2 - 21 + 28*s - 23. Determine y(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 2, y: 1}. Give prob of picking 1 y and 1 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 50. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4050 and 300.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-70)\/343*-28 - (2 + 4). Which is the closest to 2? (a) 0.1 (b) q (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8795696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34254*0.5\nAnswer: -17127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 11*d**2. Let o(j) = -3*j + 0*j + 6*j. Calculate q(o(c)).\nAnswer: 99*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*c - 4. What are the prime factors of c + 0 + -1 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**13*r\/r**(-12)*r*r*r*r**(-3\/8)*r**6 assuming r is positive.\nAnswer: r**(277\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 251330762 a multiple of 797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a millennium in decades?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -60, 5, 6, 1, -49.\nAnswer: -60, -49, -1, 1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157889 is divided by 39472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 7, h: 4}. Give prob of picking 1 f and 1 x.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((57\/(-546))\/(-19)). What is the greatest common factor of a and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2250 - -2298. What is the highest common factor of c and 2352?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5\/2 + 219*z**4\/2 + 2745*z**3\/2 - 19335*z**2\/2 - 37014*z - 26082 = 0. Calculate z.\nAnswer: -54, -23, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**14\/m*m)\/m*m*m)**(-29) assuming m is positive.\nAnswer: m**(-464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(9\/5)*p**(-6\/17)*(p*p**(1\/29)\/p*p)\/p**(-4\/7) assuming p is positive.\nAnswer: p**(52679\/17255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-44)\/(-12)*3 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2415400 rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 73.82305 days?\nAnswer: 6378311520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4538 (base 10) to base 5\nAnswer: -121123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2220 and -0.14.\nAnswer: -310.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 9:49 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -0.26\nAnswer: 0.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rarararrrrrrrr.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 15*k**5 - 5770*k**4 + 406800*k**3 - 268640*k**2 = 0?\nAnswer: 0, 2\/3, 92, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**7\/105 - m**6\/60 - 3*m**2\/2 - 3*m. Let p(v) be the first derivative of d(v). Let p(o) = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (6\/7)\/((-20)\/(-35))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -80, -701, -2490, -6065, -12044, -21045?\n\"Answer: -103*k**3 + 34*k**2 - 2*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.4, -1\/198, -2 in descending order.\nAnswer: -1\/198, -0.1, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15326, 61884, 139484, 248126, 387810, 558536, 760304?\nAnswer: 993114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 13444*g + 13450. Determine b(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4 + 0*r**3 + 10*r**2 - r**3 - 20*r + 4. Let a be m(7). Solve -l + 5*d = -6*l + a, 2*l = 3*d + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1504361 (base 8) to base 16\nAnswer: 688f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10267 and 71869.\nAnswer: 71869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61b (base 14) to base 7.\nAnswer: -3334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 14*q - 15. Suppose -2*w - 57 = 5*r, -2*r + 2*w = 2*r + 42. Calculate the remainder when 34 is divided by f(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i**2 + i**2 + i - 2*i**2 - 3*i**2. Calculate the remainder when 7 is divided by h(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -11*p + 31. Suppose 3*b - 4*v + 3 = 0, 4*b = 5*b - v. Determine j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9076335 divided by 3025445?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -660\nAnswer: -1\/660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*t - 15180 = -15384 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -243*j - 29. Let f(l) = -528*l - 57. Let v(g) = -6*f(g) + 13*h(g). What is v(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8110 + 8109.0907. What is v rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 77721\/17, 2\/7, 3.4?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**4 + w**5 - 4*w**4 + (2*w + 2*w - 6*w)*(w**2 - 2*w**4 - w**2) + 0*w**5 - 2*w**5 - 2*w**5.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11011111111 (base 2) to base 5\nAnswer: 24131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*w + 743 + 384 = 63 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-10))\/((-3)\/5). Let q = u - 3\/2. Let v be 3\/(-2)*1\/(-2). Sort q, -0.3, v in ascending order.\nAnswer: -0.3, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 9) in base 16?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53261182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*f + 48*f - 46*f.\nAnswer: -25*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - -10?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 334*j**2 + 4*j - 2. Let o be f(1). Suppose 44*b - o = 41*b. 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: Solve -z = 14, -18*z + 248 = b - 5*z - 31*z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 47548*o - 47543*o = 35, -80 = -5*r - 15*o for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvqwvwvfwqvvcvvv. What is prob of picking 2 w and 1 q?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 - 64. Let d(v) be the first derivative of 5\/8*v**r + 1\/6*v**3 + 2 + 0*v - 1\/4*v**2 + 3\/10*v**5. Let d(f) = 0. Calculate f.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 312240440040?\nAnswer: -312240440034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-32))\/((-180)\/96))\/(4\/(-48))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 2. Suppose f + 2*f = 90. Suppose 3*m = 3*c, -3*m + f = 2*c + c. Suppose m*s = s + 24. Calculate o(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 + 31)*(7\/28*2 + (-70)\/12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1632680, -1632678, -1632674, -1632668, -1632660?\nAnswer: -1632650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -56839 (b) 3 (c) -3 (d) -0.016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*o - 581848 - 361206 = -78*o. Round o to the nearest one thousand.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*t - 245*t - 332 = 204*t. Let y be (-4)\/10 + (-4038)\/(-10120). Which is smaller: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658 is divided by 80?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 115 = -4*g, 5*y - 8*g - 220 = -7*g. Suppose -h - y = -4*z, 2*h - 4*z + z + 75 = 0. Is -33 equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 10:59 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, -223, -820, -1667, -2770, -4135, -5768, -7675?\nAnswer: -9862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4581 + -4558. Solve 28 - b = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**2 - 28*s + 1. Let h(p) = 2*p**2 + 28*p - 1. Calculate -2*a(c) - 3*h(c).\nAnswer: 2*c**2 - 28*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1388 - 55*g**2 + 187*g + 42*g**2 - 224 + 10*g**2 with respect to g.\nAnswer: -6*g + 187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -4, -106, 2, -1 in ascending order.\nAnswer: -106, -7, -4, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-13)\/n)\/((n\/(n**(-1\/2)*n))\/n*n)*((n**0*n*n)\/n)**(-4\/39) assuming n is positive.\nAnswer: n**(-1139\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1626 by -6.\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19935 and 5292?\nAnswer: 11721780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2263 is divided by 451?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -8, 3, -140 in decreasing order.\nAnswer: 5, 3, -1, -8, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8024 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4*(-8)\/3. Let j be v\/10 - 676\/(-10). Suppose l = -5*k + 115, 4*l = -3*k + 7*k - j. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 875aa4 + 55?\nAnswer: 875af9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 169. Let n = 102.99999941 + t. Round n to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1308980, 1308982, 1308982, 1308980, 1308976?\nAnswer: 1308970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dznbozzzoodz. Give prob of sequence db.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4483 - -0.0297457813.\nAnswer: 2.4780457813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 164 + -97. Let t be (-3)\/(12\/i)*8. Is 2\/(-8)*t*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (96 + -51) - (-13 + -1 + -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1177 + -42.6177. Let p = -33.7 - 8.3. Let j = p - m. What is the nearest to 0 in j, -4\/7, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(143) - (sqrt(143) - sqrt(143)*-4))\/sqrt(11)*2)**2.\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*t - 16413 = 305*t. What are the prime factors of t?\nAnswer: 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3043922 and 4348460.\nAnswer: 30439220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3137 - -29)\/((-7)\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8659 and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/12*(141\/(-24) + 4)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, j: 2, y: 2, w: 1, i: 1}. Give prob of sequence yjw.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*sqrt(99) - (-3 + sqrt(396))).\nAnswer: -12*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 11. Let g = -4 + 5. Let l(m) = 5*m**3 - m**2. Let y be l(g). Which is the second biggest value? (a) h (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 12. Let z be i(-10). Suppose -5 = -z*n - 3*n, -2*q = 2*n - 2. Factor 3\/4*y**3 + q + 1\/4*y + 3\/4*y**2 + 1\/4*y**4.\nAnswer: y*(y + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -0.485.\nAnswer: -0.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2124 and 4986?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 9*q - 4. Suppose 4*o + 33 = -5*x, -o - 15 = 2*x - 0*o. Give m(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w. Let o be (1 - 1)\/(-10 - -12). Suppose 5*f + 0*f = 15. Let b(i) = -f*i + 4*i + o*i. Calculate b(n(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s + 31 = 4*v, 2*v = s - 19. Let p = s - 18. Let j(d) = 2*d. Let r(a) = -a**2 - 4*a. What is p*j(k) + 3*r(k)?\nAnswer: -3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/(((-92)\/11816)\/23). Let k = s - 453. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*l + 90*l - 96 - 180*l + l**2.\nAnswer: l**2 - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(720) - 2*sqrt(720)) + 4 + 4)*2 + -1 + -4)*2)**2.\nAnswer: -8448*sqrt(5) + 48016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/31 or 2?\nAnswer: -10\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Suppose 0 = y + 5*l - 9, 39*y - 37*y - l = -4. Let h(p) = -4*p - 3. Give y*h(v) + 2*m(v).\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 97 + 72 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 2403333?\nAnswer: 2403328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -262*o**2 - 1123*o**2 - 235*o**2 - 3351*o**2 + (2*o - 1 + 1)*(2 - 2 + 2*o) as v + n*o + k*o**2 and give k.\nAnswer: -4967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.449 minus 50717?\nAnswer: -50717.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1173*p**3 + p**2 + 3*p - 3209 wrt p.\nAnswer: -7038*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -7*x**6\/720 + 5*x**4\/4 - x**3\/6 + x**2. Let i(w) be the second derivative of d(w). Let h(o) = -45*o**2. What is i(h(s))?\nAnswer: 315*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 7}. Give prob of picking 1 i and 1 g.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/3))\/c**4)**(1\/20)*(c**(-3\/7)*c)\/c**(-6)*c**6*c**1 assuming c is positive.\nAnswer: c**(5623\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1344882cm to micrometers.\nAnswer: 1344.882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 106?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -80, 8, 563, -4 in decreasing order.\nAnswer: 563, 8, 2, 1, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1646 - 1638. Solve 4*p - 2*b - 2 + 0 = 0, -2*p = -4*b + f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*1*sqrt(136)*5)\/(-1*sqrt(8)*2 + sqrt(8) + sqrt(88)\/(sqrt(11)*-3)).\nAnswer: 135*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*i + 4, 4*g + 15 = g. Is i\/(-4) + (-497)\/(-28) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3. Let l be 10\/(-15)*(d + 2). Put -1, l, -6 in descending order.\nAnswer: -1, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -7*w + 39. Let r be 3 + 10 + -1 + 1. Suppose -2*l + r = -l. Calculate the greatest common factor of l and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*x**5 + x**4 + 2867*x**3 + 3*x - 128049 wrt x.\nAnswer: 60*x**3 + 12*x**2 + 17202*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, q: 5}. Give prob of sequence qfqf.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - i + 72. Let b be (-6)\/i*(-7 + 1). Solve d + 0 + b = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -191, 732398 in descending order.\nAnswer: 732398, -4, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17432 divided by -173.\nAnswer: -17432\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.6, -1, -5, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 + 2622*y + 482056. Determine v(1030).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5290 (base 15) in base 5?\nAnswer: 1024320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -527.7 + 528.1. Let q = 5.1 - 5. Which is the nearest to q? (a) o (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 6*f + 3*f - 120, 4*f - 150 = -5*z. Suppose 14 = 2*s - z. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 2, p: 2, j: 1, m: 2, g: 1, f: 7}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/7, 103, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -2 + 3 + 0 + 2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 39, -5869, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 - -275 - (2 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3085, -24529, -82717, -196021, -382813?\n\"Answer: -3062*y**3 - 10*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 14350*h + 14345*h + 61 = 0, -3*h - 21 = 4*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -222.79 + -21.21. Are t and 0.25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 438425 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**2 - 669*a - 336.\nAnswer: 3*(a - 112)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u + 3. Suppose -4*i + v + 39 = -43, -2*i + 46 = -3*v. Let a = i + -22. Let x be o(a). Which is smaller: x or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*j - 32, -3*p + 5*j - 25 = -5*p. List the prime factors of (69\/(-15))\/((-1)\/p) + -4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1395\/8 - -6983\/40. Suppose 12 + 33 = 5*i. Let x = -0.7 - -0.4. What is the biggest value in x, a, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27174377 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1291818 and 529?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.69 + -0.51. Let r = h - -3.4. Let v = -65 + 193\/3. What is the closest to -1 in r, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -21546 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3724606.800186 + -3724626. Let l = 156 + -136.8. Let o = l + v. Round o to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 n when four letters picked without replacement from znzznzznnznnzlnnlzn.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 79, 2, -4, -0.1, 1 in increasing order.\nAnswer: -4, -1, -0.1, 1, 2, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.13261\nAnswer: -0.13261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 3) to base 12.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -148929000 to the nearest one million.\nAnswer: -149000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/292 and -117\/2044.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134131.\nAnswer: 113, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22 times 3893\nAnswer: -85646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1088)*3 - (sqrt(1088) - (0 + sqrt(1088) + -1)))**2 + -3.\nAnswer: 288*sqrt(17) + 352510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/15)\/(x\/x**(-1\/3)))**(-19)\/(((x**(-2)*x)\/x)**33)**(7\/3) assuming x is positive.\nAnswer: x**(2728\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.3 or -3942?\nAnswer: -3942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 6*y**2 + 2*y - 1. Let i be k(-6). Let w = 17 + i. Solve -3*g - 4*a + 18 = -w*g, 0 = 2*g + 3*a - 19 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -0.0309, 2\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*w - 15 = -715*w + 195 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 31119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 1)*(-b - b + 6*b)*((-b - 2*b + b)*(2*b + 2*b - 5*b) + 5*b**2 - 3*b + 3*b) as c + y*b**3 + z*b**2 + u*b and give y.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*v - 140*v - 1468 = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73 minus 16.14?\nAnswer: -16.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/2)\/(3\/3*2)*(-9)\/36.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -792 + 791.75. Is y at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3164 divided by -2?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11369180 times 0.03?\nAnswer: -341075.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 11224. Let z(w) = w. Give z(r(p)).\nAnswer: -p - 11224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 632.8 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280467 is divided by 389?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4056 (base 7) to base 16\nAnswer: -585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 + 158. Suppose -2*a = -7*a + s. Let d = 83 - a. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1184264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m - 12 = -17*m. Is 12 - (m - -4)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.281 - 0.799. Let t = 0.4 - 0.32. Let a = t + i. Which is bigger: a or -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w - x + 6, 2*w - 9 = -5*x. Calculate the greatest common factor of 112 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.4, 9.\nAnswer: -1\/3, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*s + 113*s - 152 = 0. Let n(m) be the second derivative of 0 - 1\/3*m**s + 2\/9*m**3 + 7*m - 1\/18*m**4. Factor n(w).\nAnswer: -2*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11210 (base 3) to base 12.\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 9*l**2 + 82*l - 284. Determine c(14).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*i - i - 28, 2*k = -5*i - 24. Let n be (744\/30)\/(i\/(-10)). Suppose -3*r + 4 = -n. Solve -v + 5*d + 3 = r, -4*v = -3*d + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 9131804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-450)\/(-35))\/(30\/14 + -2). Let c = -90 + v. Is 2 - -137 - (3 + c) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/(-110))\/((-2)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -48*f**5 - 44184*f**4 - 13549755*f**3 - 1382070099*f**2 + 693578391*f - 86803329 = 0?\nAnswer: -307, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1023 - -795.5. Let j = 98.9 + k. Let f = j + 128.600000699. Round f to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -357*d + 344*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11488 less than -11418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*f + 8, 13 = -5*b - 4*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.057 - -0.827. Let k = 765 + -765.27. Let d = k + o. What is the third smallest value in -2, -9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19*1)\/(1292\/(-884))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2091153.\nAnswer: 3, 17, 131, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 113330 and 40.\nAnswer: 4533200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-10\/3))**(-4\/37))**(-20) assuming i is positive.\nAnswer: i**(1040\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*t + o, 30*o - 4 = 31*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 977*z + 6906. Let l be o(-7). Are l and 137\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3827*b + 3820*b - 7654*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4861, -1\/6 in decreasing order.\nAnswer: -1\/6, -0.4861, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3\/2, 75, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -29. Let d be ((-10)\/2370)\/((-2)\/q). Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-303)\/4)\/(36\/384*-8). Calculate the highest common divisor of u and 808.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 5*o**2 - 5*o + 5. Let d be -3 - 3\/6*-14. What is g(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1963, 5512, 9061, 12610?\nAnswer: 16159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = t - 5. Let v be 48\/t + 3 - 1. Which is the biggest value? (a) -5 (b) v (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/9 (b) 1254.6 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 10*y + 3. Let n be l(-3). Which is smaller: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 7\/2 (b) 0.045 (c) 1\/2 (d) -2\/13 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (64\/(-18) - (-4)\/(-6)). Which is the closest to 0.2? (a) 2 (b) z (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 9. What is the units digit of n(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.46 and -0.06.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 11, w: 9}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 76*c**2 - 60*c**2 - 23*c**2 in the form p*c + g + j*c**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*p + 53*p - 30 = 0. Let d(n) = -8*n**2 + 119*n + 19. Let a be d(p). Solve a*x - 2 = 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-2)*2\/(-6). Suppose w*d - d = -2. Is 1\/d*(-6)\/2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 5 - 8*z - 10*z**2 + 0*z**2 + 0*z**3 + 6. Suppose -2*x + 0*x = -4*k + 6, -15 = 5*k. Let r be c(x). Solve 0 = -r*l + 7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from jijja.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + 2*j**4 - 4*j - 15*j**3 + 6*j**3 + 10*j**2 + 8*j**3 as y*j + f*j**3 + n + b*j**2 + v*j**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 162 - 162. Suppose 2*v + 4 = -2*p + 4*v, h = -2*p - 3*v + 16. Solve 18 = -5*f + p*i, -6*i + 2*i = -5*f - 26 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -4. Let f = -4.7 + 4.8. Let m = 5 + -4.6. What is the closest to f in -1\/2, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51? (a) -2\/11 (b) 25.2 (c) -0.06 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 0*z + r - 133, -4*z = -r - 139. Let v be 2255\/35 + (-6)\/14. Suppose 2 = -2*k - 5*g + z, 4*g + v = 4*k. Solve 4 + k = -4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325207 = -12*m + 1480301. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2\/3 - 22*t + 689\/3 = 0.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/9))**14)**(34\/7)*(r*(((r\/r**6)\/r)\/r)\/r*((r\/((r*r\/(r\/r**1)*r)\/r)*r)\/r)\/r*r)\/(r*r**(-1))**(-39) assuming r is positive.\nAnswer: r**(-208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 243991563 plus -122656?\nAnswer: 243868907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -3*r**5\/2 + r**3\/6 - 412*r**2 - 99*r - 1. What is the first derivative of h(f) wrt f?\nAnswer: -90*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9)\/6*((-3630255)\/(-259290) - 14) and -49\/32.\nAnswer: 92192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 0.1785?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3446198573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -25*l + 575. Determine o(22).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 22500?\nAnswer: 22500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*z**2 + 52*z**5 - 4*z**4 - 23*z**2 + 3*z**6 - 102*z**5 + 4*z + 50*z**5 wrt z?\nAnswer: 360*z**3 - 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -z, 3*r + 4*z + 111 - 90 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*35\/30*563\/31528?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/(-6)*(2106\/36)\/39.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -99, 4 in increasing order.\nAnswer: -99, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136085 and 3917647?\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -520143 or -520532?\nAnswer: -520143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 110343717, 110343719, 110343721, 110343723?\n\"Answer: 2*m + 110343715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 9 - 2 + 3 - 14*i + 13*i. Let l be s(-7). Let q(n) = 14*n**3 - 17*n**2 - 3. Let u(j) = -5*j**3 + 6*j**2 + 1. Determine l*u(o) + 6*q(o).\nAnswer: -o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 19*p + 150. Let v(n) = n + 24. What is the least common multiple of 9 and v(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19804497137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 8380629.9 to the nearest 100000.\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 + 27 = -3*o - 3*i, 4*o - 591 = 5*i. Let t be ((-3)\/(-1))\/((-6)\/(-44)). Calculate the greatest common divisor of t and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -11*t**2 + 6*t + 4. Let i(z) = 45*z**2 - 26*z - 17. What is -6*i(j) - 26*y(j)?\nAnswer: 16*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - u + 1. Let m(k) = 1844 - 5*k**2 - 1839 + 4*k**2 + 6*k**2 - 2*k**2 - 12*k. Calculate -4*b(y) + m(y).\nAnswer: -y**2 - 8*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 + 7*i**2 + 14*i + 2. Let f(u) = -11*u**3 - 20*u**2 - 41*u - 6. Calculate -6*f(x) - 17*g(x).\nAnswer: -2*x**3 + x**2 + 8*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 19*k**2 + 2*k + 36. Let n be f(-19). What are the prime factors of 5\/((-105)\/(-10737)) + n\/7?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Let p = 92 + -92.3. What is the closest to q in 4, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**5\/60 + 5*p**3\/6 + 7*p**2\/2 + 13. Let h(d) be the second derivative of m(d). What are the prime factors of h(-9)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 2*d - 4. What is w(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6011, -11461, -16911?\n\"Answer: -5450*z - 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6884791 plus 10286.3?\nAnswer: 6895077.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndddddndnddnnd. Give prob of sequence dn.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**2 + 20*z - 20. Calculate the remainder when 77 is divided by i(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - sqrt(204)*-1*3) + sqrt(204)*1*1)\/((sqrt(72) + (sqrt(72) - sqrt(72)*5) + sqrt(72) - sqrt(72))\/sqrt(6)*-1).\nAnswer: 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 1)*(m - m - 13*m**2) - 2 + 2 + m**2 + (-6*m + 4*m + 0*m)*(-6*m + m + 4*m) + 2*m**2 + 0 + 0 to y*m + g*m**2 + c and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - -18. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 - -56. Let v be (-1 - 18\/(-20))\/(2\/u). Which is smaller: v or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11152 (base 6) to base 13.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 s, and 1 t when four letters picked without replacement from jusvsbt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*y + 11 + 1, -2*c = 5*y + 8. Suppose 3*r + 1 = 61. Solve -r = 4*f - y*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**2 + g**2 + 6*g**2. Let m(i) = -7*i**2. Give z(m(j)).\nAnswer: 98*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = 7*p + 4454. Suppose 0 = -5*s - 15, 2*s - 1028 = -g - 26. Let u = g + p. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 2*o - 3)*(-3 + 3 - o) + 31*o - 31*o - 45*o**2)*(-42 + 12 - 30) in the form t*o**2 + m*o + u and give t.\nAnswer: 2580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60827055?\nAnswer: 3, 5, 4055137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1108 - 1148) + 0 + 6?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 84 - 736?\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1268226704.\nAnswer: 2, 347, 228427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178 by 17.\nAnswer: 178\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**5\/60 + x**4 - 49*x**3\/6 - 14*x**2. List the prime factors of z(14).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -3806229.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14*(96\/(-48))\/14.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/(5*sqrt(72)\/sqrt(6) + sqrt(12)))\/(sqrt(80)\/sqrt(5)*-6).\nAnswer: -sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 10) to base 7.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/4)\/(57\/(-38))*-6. What is the nearest to -4\/7 in 0, o, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1 + sqrt(10)\/sqrt(5))**2*-6.\nAnswer: -54 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -15.6 (b) 7 (c) -5 (d) -2\/9 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**2\/7 + 1922922*k\/7 - 1922925\/7 = 0.\nAnswer: -640975, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 5876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 442712 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238391958*k**3 - 400590833*k wrt k?\nAnswer: 1430351748*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -15*g**4 + 5*g**3 + 5*g + 32. Let t(n) = 14*n**4 - 6*n**3 - 6*n - 33. Let q(l) = -6*h(l) - 5*t(l). Differentiate q(f) wrt f.\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4445447751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**4)\/(((l\/(l*l*l**(-10\/9)))\/l)\/l))\/(l**(3\/2)\/(l*l*l*l**(2\/9))) assuming l is positive.\nAnswer: l**(11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 453*c**3 - 4*c**2 - 4*c - 12. Let j(g) = -3171*g**3 + 27*g**2 + 27*g + 81. Give 4*j(x) + 27*q(x).\nAnswer: -453*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1133 - -7900\/7. Find the common denominator of k and -16\/1673.\nAnswer: 1673","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 - 0.18. What is the third biggest value in 4, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -208\/5, -2, 0.3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80920 and 16649290.\nAnswer: 66597160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-8))\/((-21)\/4). Let d = 5.43 - 9.43. Sort -2, d, q, -2\/13.\nAnswer: d, -2, q, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g = -19*g - 1516. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1746, 3493, 5242, 6993, 8746?\nAnswer: 10501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 0 + 0 + (11 + 5 + 1)*(0*w + 2*w + 0*w)*(-2*w - 1 + 1) in the form u + i*w**2 + s*w and give i.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2510*g + 2512*g - 642318 = 6*s, -5*g = -s - 1605795. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1072, 5 in descending order.\nAnswer: 1072, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -3*c - 5, 28*g - 25*g + 3*c = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9050\/7 + 1293. Let o = -0.058 - 0.042. Sort r, -4\/5, -1\/8, o in descending order.\nAnswer: r, o, -1\/8, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 10:06 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t**3 + 6*t**2 + 3*t - 5. Let n(g) = -g**3 + g**2 + g - 1. What is 6*n(r) - s(r)?\nAnswer: 3*r**3 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -633, 286, -5 in ascending order.\nAnswer: -633, -5, -3, -1, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {b: 3, z: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -2*l + 59. Suppose -11*p + 399 = -l*p. What are the prime factors of p?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 0, -5, 5, 399 in increasing order.\nAnswer: -6, -5, -1, 0, 5, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -24*g + 801. What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266518*u**5 - 674*u**2 + 96*u + 1 wrt u.\nAnswer: -15991080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**9\/7560 + w**5\/60 + w**4\/24 - 2*w**2. Let n(o) be the second derivative of d(o). Differentiate n(y) with respect to y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 414, 780, 1132, 1464, 1770, 2044, 2280?\nAnswer: 2472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 4, a: 3, g: 2, q: 9}. Give prob of sequence ge.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 3. Let l be c(-5). Let x(p) = -p**3 - 9*p**2 - 8*p + 9. Let a be x(l). Suppose z = f - 2*f + a, 0 = 3*z - 5*f - 27. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364463137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26306591 or -26306593?\nAnswer: -26306593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 58287*4\nAnswer: 233148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3 = 5. Let y(t) = -t**2 - 5*t - 6. Determine y(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/38 and 65\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - s = 4*s + 10, 0 = -2*i + s + 11. Let y = -0.527 - 3.423. Let w = y + 3.85. What is the nearest to w in -1, -4\/7, i?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 16, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20153.7318 + 845737.\nAnswer: 865890.7318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.7 (b) 91\/2 (c) 2\/3 (d) -0.4 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k + 256. Let s(f) = -f - 2. Determine h(c) + 6*s(c).\nAnswer: -3*c + 244","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 1, i: 2, u: 3}. Give prob of picking 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 t, and 1 v when four letters picked without replacement from {v: 2, z: 1, k: 3, d: 3, t: 1, q: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a factor of 171695138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 9*m - 34*m**3 + 4*m - 51*m**3 + 84*m**3.\nAnswer: -m**3 - 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) -0.3 (c) -4 (d) 0.1 (e) -0.34 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 - 27*r - 473. Calculate the remainder when l(-10) is divided by 52.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pps when three letters picked without replacement from nsppbzn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -adbed (base 16) in base 9?\nAnswer: -1304184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*c - 3*c**3 - 10 + 2*c**3 - 5 - 2*c**3 wrt c.\nAnswer: -9*c**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -3231?\nAnswer: 3222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3\/3 - 188464*y**2 - 376929*y - 565394\/3 = 0.\nAnswer: -1, 565394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41582*d - 23 + 23.\nAnswer: -41582*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 120741345 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -1\/190*n**5 + 0*n**3 + 1\/114*n**4 + 0 + 0*n**2 + 13*n. Factor v(f).\nAnswer: -2*f**2*(f - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 255\/8 + (-9)\/(-72). Let 19 - 4*b**4 + 16 + 24*b**3 + 1 - 24*b + 0 - t*b**2 = 0. Calculate b.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 653406 and 15?\nAnswer: 3267030","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand 9*x - 30*x + 6*x + (0 + 0 + 2*x)*(-4 + 3 + 2).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -310527, 3, 5 in decreasing order.\nAnswer: 5, 3, -310527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 minus 67931?\nAnswer: -67913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79613 and 793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 6*d**2 + 6*d - 7. Let g be k(5). Let a(o) = -o + 2. Let z(n) = -5*n + 10. Let m = -21 + 27. Let c = 17 - m. What is c*a(j) + g*z(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**2 - 1 + 1)*(-7*h - 4*h - 23*h) + (0*h**2 + 0*h**2 + h**3)*(-2 - 3 + 3) + h**3 + 4*h**3 + 4*h**3 as n + r*h**2 + w*h**3 + m*h and give w.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6240626 and 516838?\nAnswer: 7714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61004 - 13414. Let q = 47590.052949 - w. Let z = 0.053 - q. Round z to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**2\/17 + 20*m\/17 - 48\/17 = 0.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d + 181*d**2 + 8 + 134*d**2 + 94*d**2. Let h be (-1)\/(-1 + (-16)\/(-14)). Let p be z(h). What is p rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*b + 18 = 0, p - 3*b = -0*p - 6. Solve -3*d + p = -4*v, 5*v + 0*d - 20 = -d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 3. Let p be b(-1). Let n(f) = 2*f**3 - 2*f - 1. Calculate n(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -417010 to the nearest 10000.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -9. Suppose -26 = 4*z - 2*h + 6, m = h. Let j(q) = -q**2 - q. Let f(s) be the first derivative of 5*s**3\/3 + 4*s**2 + 77. Determine z*j(i) - f(i).\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4) - (-7)\/28. Suppose 0*n = -4*x - 4*n, x + 5*n - 20 = a. Let d = 15 + x. What is the lowest common multiple of d and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 658 + -662. Let r = 84 + -171\/2. Put -10, r, z in ascending order.\nAnswer: -10, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - m**3 + m**3)*(2 - 1 - 3)*(1 + 2 - 5) - 4 + 4 - m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 4667*z - 322049. What is h(68)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j. Let b be o(-5). Suppose -2*c = 3 - 13. Let l = b - c. Let x(k) = -k**2 - k + 1. Give x(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73256?\nAnswer: 2, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -675*a**2. Let q(m) = 5*m. Determine z(q(w)).\nAnswer: -16875*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(117)*-3)\/((sqrt(441) - sqrt(441)*-2)*1).\nAnswer: -4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*p**3 + 23*p**3 - 54*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + 36. Let s = j - 31. What is s rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 15*v + 15 = -3*i, 15 = 5*v - 3*i. Solve v = -19*r + 20 + 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3714, -2\/15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, -34, -129, -314, -619?\n\"Answer: -5*h**3 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(91) + (sqrt(91) - sqrt(91)*-2 - sqrt(91)))*-1*5)\/((sqrt(14) + (sqrt(14) + sqrt(126) + sqrt(14))*6)\/(2*sqrt(8)\/sqrt(4))).\nAnswer: 180*sqrt(13)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(76)\/sqrt(4) + 0 - sqrt(2736)*-2) + (sqrt(19) + -2*sqrt(684) + sqrt(684) + (sqrt(19) - (1 + sqrt(304))))**2.\nAnswer: 42*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4325813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36704, 73781, 110858, 147935, 185012?\nAnswer: 222089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -3*g - 5*u, 0 = 2*g - 4*u - 30 - 160. Find the third derivative of -g + 95 - 10*t**3 - 9*t**2 wrt t.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21161699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -58*t - 6571. Give p(-112).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2316 + 2315.8. Which is the fourth smallest value? (a) 65 (b) 3\/2 (c) 4\/3 (d) p (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 20*w**2 + 12*w + 39. Let r be f(-17). What is the units digit of (-4*(-3)\/24)\/(1\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23675*m**4 - m**2 - 398*m - 255.\nAnswer: -284100*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q - 35. Give h(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -1 - -5) + 2 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.48 (b) 2\/31 (c) 1 (d) 19 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 17.439?\nAnswer: 16.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 423140*g.\nAnswer: 4*g*(g - 105785)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 840 = 20*k. Solve k = 8*x + 8 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14323 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 5*q**4\/12 + 13*q**3\/6 - 12*q**2. Is 37 a factor of y(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4*p = -259, c - p - 5883 = -5825 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147 - 84. Suppose 7*g - 676 = -242. Is u smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -1\/6*q**3 - 4*q + 0*q**2 + 0. Let r(d) be the second derivative of d**4\/6 + d. Determine u(r(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 23*m + 7. Let v(w) = -12*w - 4. Let a(q) = -3*l(q) - 5*v(q). What is a(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-7) - ((-58)\/(-2030))\/(24\/410).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*b + 2*a - 6*a, -5*b - 5*a - 10 = 0. Solve -z - 4 = -b*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 13*c + 173. Calculate the remainder when 107 is divided by v(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 7:38 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0681 in 3, 0.0377, -7, -5?\nAnswer: 0.0377","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (2008\/51)\/8. Let o = i - 122\/255. Let v = 2.6 - 0.6. What is the nearest to 5 in o, v, 4\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 14*j**3 + 5 - 7*j**2 + 7*j**2 - 5.\nAnswer: -14*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 677\/5 + -135. Suppose 0*q + 57 = -q. Let k = -52 - q. Sort 3\/5, k, h in descending order.\nAnswer: k, 3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -19. Suppose 0 = j + g - 5, -2 = 2*j - g - 0. Suppose -j = v, 0 = -4*x - x + 3*v + 18. Solve 0 = 5*r + 4*b + c, 0*r = -r + x*b + 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 6*w - 3. Suppose 4*m - 3*n - 15 = 2*n, -3*m + 13 = -2*n. Let o be x(m). Let f(h) = -h**3 - 9*h + o - 3*h**2 - 3*h**2 + 4*h. Give f(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x + 50. Calculate the lowest common multiple of l(20) and 14.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**5\/10 - w**4\/3 + 4*w**3\/3 + 10*w**2 + 2333*w. Give g(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2*3\/6)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.35. Let p be (14\/22 - 3 - -2)\/(-2). Put -0.4, p, y in descending order.\nAnswer: p, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/63*(-980)\/1400?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 10*i**2 - 7*i + 20. Let x be p(-9). Let u(k) = 15*k**2 - 14*k**2 + x*k + 1 - 7 + 2*k. Give u(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 6*h + 1. Let j be v(-5). Let f = 0.8 - 1.3. Which is the nearest to -0.1? (a) j (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v**2 - 5*v + 2. Suppose -33 = -5*m - 8. Let y(x) = -11*x**2 - 9*x + 4. Let n(h) = m*w(h) - 3*y(h). List the prime factors of n(2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (976\/11956)\/(4\/(-42))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*k - 102 = 98, 4*j = k - 200. Let r = j - -112. What is the remainder when r is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-150)\/(-18))\/((-2)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.1. Let b = -27565.3 + 27569.3. Suppose -3*c - c + 244 = 0. What is the smallest value in b, q, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**3 - 20*i**2 + 271*i + 1769. Give w(-6).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - 2*t + 4*t + (1 + 0 + 0)*(-4*t + 4*t - t) + (5 - 5 + 2*t)*(-2 + 1 - 1) + 4*t - 2*t - 4*t - 2*t + 0 + 0.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - 1030002?\nAnswer: -1030014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**4\/4 + n**3\/3 - n**2\/2 + 241*n - 1. Let q be z(0). Let p = q + -164. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -16*g + 45. Let w be c(-8). Let m = -96 + w. What are the prime factors of m?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/3578 and -113\/30?\nAnswer: 53670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -20*d**2. Let f(l) = 11*l. Give f(j(s)).\nAnswer: -220*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 16*v**2\/5 + 30828*v\/5 + 30812\/5 = 0?\nAnswer: -7703\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -17936\/1437 at least -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g - 227. Calculate k(-26).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -98, 1769, 5, 3, -5 in descending order.\nAnswer: 1769, 5, 3, -2, -5, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*g*q**3 - 13*g*q - 23*g - 7548*q**3 - 1024*q wrt q?\nAnswer: -288*g*q - 45288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n + 9. What is z(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(80\/(-105)))\/((-48)\/(-2560)*-20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59*j + 2*y - 6*y - 1278, 5*j + 18*y - 19 = 2*y - 49 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a year in months?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -384.91 + 385.81. Sort 5.73, n, 1.\nAnswer: n, 1, 5.73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2388 and 1114.\nAnswer: 1330116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196636\/(-246)*(-6)\/4?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - -176. Suppose -3*s + 194 = 2*i - 7*i, 5*i = -20. What is the remainder when d is divided by s?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552508 divided by 138127?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -1984?\nAnswer: -15\/992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h = -18*h + 4*c - 5, -5*h - 13 = -4*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12133354 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.33 - -0.33. Let q = 0.8 + -1.3. Which is the third biggest value? (a) 1 (b) q (c) 3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/90)\/((-7)\/(-70)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/3 - (-2 + 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 9 = 0, -2*i - i = -3*w + 24. Let m be ((-4)\/(-3))\/(w\/((-15)\/(-2))). Find the first derivative of m*d + 8 + 21*d - 7 + 0*d wrt d.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 8. Let x = g + 19. Suppose q = x*q - 40. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 11*i - 35. Suppose -2*u + f - 3919999 = 0, 4*f + i = -0. Round u to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10630 - 10629.6. Suppose 0 = -s + 2*s - 1. Which is the closest to 2\/7? (a) 0.05 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(4\/6)\/((-260)\/(-195)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 36.\nAnswer: -7, -3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)*b)\/((b*b**7*b)\/b*b))**20 assuming b is positive.\nAnswer: b**(-460\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -51, -164, -267, -354, -419, -456?\n\"Answer: c**3 - c**2 - 117*c + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 + 0.096. Let f = t - 0.03. Round f to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14322 (base 5) to base 7\nAnswer: -3351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3 - 44*w**3 + 12*w - 8*w**2 + 45*w**3 - 3 - 5. What is the tens digit of k(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 104300?\nAnswer: 104241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2192 and 8044640.\nAnswer: 8044640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2584 at most as big as 37.6673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*g*k*u**3 - 917509*b**3*g*u**2 - 2*b**2*g*u**2 + 2*b**2*u**3 - 24*b*g*k - 54*b*k*u**3 - k*u**3 wrt b?\nAnswer: -12*g*k*u**3 - 5505054*g*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 164284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.07 - 9.47. Sort 0, y, 3\/151, -5.\nAnswer: -5, y, 0, 3\/151","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**8\/4032 - f**6\/80 + f**5\/20 + 13*f**2. Let y(h) be the third derivative of m(h). Differentiate y(x) with respect to x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 8. Let w be p(9). Sort w, 0, -3 in increasing order.\nAnswer: -3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**5\/3 + 44*d**4 - 134652*d**3 - 15784180*d**2\/3 - 48532000*d + 53928000 = 0. Calculate d.\nAnswer: -315, -20, 1, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 - (-6 - (-1 + 0 + 9 + -8 + -7))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/686325240 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.7 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.2 - 5.4. Let j = 51.6 - 44. Let i = j - 12.6. Which is the second biggest value? (a) p (b) -0.5 (c) -6\/7 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109170*f**2*g - 2*f**2*h - f*g*h + 2327136*f*h + 36*g*h wrt g?\nAnswer: -109170*f**2 - f*h + 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - g. Let h = 10 + -5. Let p(t) = -8*t**2 - 7*t. Let a(d) = h*p(d) - 35*b(d). Let j(w) = -7*w. Determine j(a(n)).\nAnswer: 35*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -8 - -8) + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4252, -4050, -3848, -3646, -3444?\nAnswer: -3242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3115554, -3115541, -3115528, -3115515?\n\"Answer: 13*l - 3115567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 120132201322 (base 4) to base 16\nAnswer: 61e87a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 105\/50*35\/(-54) - 2\/(-18). What is the fifth smallest value in 1\/3, 3, 0.3, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51988952.1 rounded to the nearest 1000?\nAnswer: 51989000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111\/115 - -7875\/8602. Calculate the common denominator of t and -37\/140.\nAnswer: 26180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*m + 12, 4*q - 12 = 2*m + 3*m. Let a be (-8)\/12 - (-26)\/3. Suppose a = f + 3*f. Sort m, f, -2 in ascending order.\nAnswer: -2, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2985*f - 47. Is s(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 8*l - 19. Let j be a(10). Let h = -7 + 9. Suppose 5*b + 3 - h = -2*c, -5*c - b = -9. Solve 2*p + w - 7 = -j, p - 13 = c*w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 339480*j*m*w - 5*j*m - j*w - 3*m*w - 4806159*w + 7 wrt m.\nAnswer: 339480*j*w - 5*j - 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29167598 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a = -3*a. Suppose -3*w + 27 + 27 = a. Calculate the smallest common multiple of w and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57758\/5 or 2?\nAnswer: 57758\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*g - 40*g + 1034 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-236*g + 4 + 271*g - 10)*(24 - 4 - 4).\nAnswer: 560*g - 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4690 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5368630 divided by 5.\nAnswer: 1073726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -g - 3*g + 12, g + 3*i + 6 = 0. Suppose -4*m - o = 133, o = -g + 1. Let x = m + 70. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -208*r + 216*r - 24. Factor 3\/2*p**2 + r*p + 3\/2.\nAnswer: 3*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 - 64. Let l be (((-165)\/(-6) - 1)*m)\/1. Let t = l + 59. Let u(k) = -k**2 + k + 1. Let g(j) = 10*j**2 - 6*j - 7. Determine t*u(v) + g(v).\nAnswer: 4*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6664574.2 to the nearest 100000.\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 12*t**2 - 10*t + 10. Let a be c(-11). Let j be ((-4)\/5)\/(a\/5). Let y be ((-18)\/j)\/((-3)\/6). What is the highest common factor of y and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1343 (base 8) to base 5.\nAnswer: -10424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 64*w**3 - 2*w**2 - 2*w + 1. Let q(a) = 126*a**3 - 6*a**2 - 5*a + 2. Calculate 2*q(o) - 5*x(o).\nAnswer: -68*o**3 - 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a**(-1\/6)*a))\/(a*((a\/(a\/a**5))\/a)\/a))\/(a**(4\/9)\/a**(-5)) assuming a is positive.\nAnswer: a**(-203\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 4*h**2 - 2*h + 12. Let g be w(-5). Let k(l) = l**2 - 2*l + 4. Let m be k(g). Suppose 163 - m = 3*a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 11:26 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-10\/11) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*c - 3*c + 63, 3*c - 9 = 0. Suppose b = -5*u + 3*f, -4*u - 3*f + 0 = 9. Let j(q) = 4*q**2 + 3. Calculate j(u).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112a (base 13) to base 14.\nAnswer: -b3d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 31128.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8552 = 26*p - 22*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -962 - -2530. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(10\/6826) - 9. What is the highest common divisor of q and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613331?\nAnswer: 97, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*(-5)\/(-24)*916\/(-11450)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**2 - 7*m - 7. Let v(z) = z**2 + 2*z + 2. Let j(t) = 2*u(t) + 9*v(t). Let s(n) be the first derivative of j(n). Calculate s(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mweewwwzwmhewhewem. What is prob of picking 2 e?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 11 = 4*j. Solve 3 = v + 5*c, -c = 2*v - 0*v - j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 601733, 601726, 601717, 601706, 601693?\nAnswer: 601678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2768)\/(-144) - 19) + (-206)\/4032*1 and 109\/336.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6 + 10 = 9. Solve -5*s - 15*n - 22 = -12*n, n = u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606597 is divided by 202186?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -48. Let o = y + 14. Let m be 0\/((-8 + 1)\/7). Is o at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84133151 is divided by 340620.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*v**2 + 9*v**2 - 14*v**2)*(-2*v - 2 - 5 - 3).\nAnswer: 42*v**3 + 210*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + 0*n**2 + 0*n**2 + (4 - 4 + 5*n)*(-2*n**2 + 2 - 2)*(-2*n + 3*n + 2*n).\nAnswer: -31*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -993041, -993045, -993049?\n\"Answer: -4*f - 993037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*b + 4. Suppose -b*r - 880 = -2*c, 4*c - 666 = 4*r + 1114. Round c to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 34*c**2 + 29*c + 149. Give v(33).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -8, 0 = -c - c + 5*m - 42. Let l be c\/9*15\/(-40)*4. Factor 4*h - 4\/3*h**3 + 0*h**2 - l.\nAnswer: -4*(h - 1)**2*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2280 divided by -15.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -897.5 + 898. Which is the closest to -0.1? (a) 3 (b) f (c) 2156 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 2*a + 7, 8*y - 2*a - 10 = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360172457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 147 - 1183\/8. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43, -54, -63, -70, -75, -78?\n\"Answer: g**2 - 14*g - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 11. Let o = 14.1 - v. Let b = 0.0828 - o. What is b rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1344621, 1344750, 1344879, 1345008, 1345137?\nAnswer: 1345266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 0*c**2 + c - 2*c**2 - 1 + 3*c**2 + 2. Let p(v) be the third derivative of -v**5\/30 - v**4\/24 - v**3\/3 + 9*v**2. Give -5*m(d) - 2*p(d).\nAnswer: -d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**0)**(-2\/9)\/(l**(-6\/7)*l*l\/l**3) assuming l is positive.\nAnswer: l**(103\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*a**4 - 24 - 13*a**4 + 45 wrt a?\nAnswer: -136*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1133 - -34112?\nAnswer: 35245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1242 - -1745. Calculate the remainder when i is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeggeegyyyyegy. What is prob of picking 2 y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4 + 8 = 0. Suppose r = -4*r - i*k + 2765, 2*r = -4*k + 1094. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -519, -477, -405, -297, -147, 51, 303, 615?\n\"Answer: w**3 + 9*w**2 + 8*w - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -15*t**2 - 3*t + 9. Let i be 87\/15 - 12\/(-60). Let p(m) = -7*m**2 - m + 4. Determine i*g(h) - 13*p(h).\nAnswer: h**2 - 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -848*t**6 + 554*t**2.\nAnswer: -101760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -34*p + 240. Determine b(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-1)\/20*-2*(-45)\/(-12)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w**2 + 6*w + 6. Let o be t(-3). Let q = 56 - o. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4 + sqrt(720) - sqrt(720)))**2 + sqrt(720) + 1 + 4*sqrt(720) + -3.\nAnswer: 23 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06893586 to 4 decimal places.\nAnswer: -0.0689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 4*n - 17 = 7, -4*h + 2*n + 12 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148 + -97. Let o = b - 5. Suppose t + o = 5*n, 4*n - 32 = -3*t + 5*t. What is the least common multiple of n and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/28)\/((-5)\/10). Sort -4\/7, p, 0.1 in increasing order.\nAnswer: -4\/7, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -6*a - 5. Let n(o) = 2 + 8*o - 27*o + 7*o - 31*o. Is n(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572724133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 + 27. What is the greatest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.9981906 to 1 decimal place.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p**2. Let u be (-5 - -5) + 0 - 3*-2. Let f(i) = 73 - 17 - 56 + u*i. Give f(m(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 6.05. Let n = -6 - -10. Which is the second biggest value? (a) n (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.4 - -3.4. Is 0 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 8:55 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -5, 0.4, 1\/5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*s = 92*s - 3921 - 1161 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000029647301 rounded to 7 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a - 8. Let z(q) = -9*q + 8. Let h(n) = 6*j(n) + 7*z(n). Calculate the smallest common multiple of 27 and h(2).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in -0.3, -1, -0.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1061662 - 2*g**2 - 2*g**2 + 1061772.\nAnswer: -4*g**2 + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5 - 17. Suppose -3*y - 3*c + 33 = 0, 0 = -5*y - 4*c + s*c + 41. Calculate the remainder when 33 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116449954 to the nearest integer?\nAnswer: 10791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(14))\/sqrt(2) + sqrt(7) + 2*(sqrt(14)\/sqrt(2))**2 - (sqrt(140)\/sqrt(5) - (-5 + sqrt(14)\/sqrt(2) + sqrt(7))).\nAnswer: 2*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -424, -855, -1284, -1711, -2136?\n\"Answer: r**2 - 434*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -188536, -188533, -188530?\n\"Answer: 3*c - 188539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 13)*(6*u - 16*u + 13*u) - u - 1 + 1 to the form y + r*u and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x - 18. Let i(o) be the first derivative of o**4\/4 - 3*o**3 - 5*o**2 + 6*o + 6. Let h be i(10). Does 21 divide v(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 2.44, 1, 45, -8\/9, -1\/5 in descending order.\nAnswer: 45, 2.44, 1, 1\/5, -1\/5, -8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/17 (b) -0.05 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(832) - 4*(1 + sqrt(832)))*-2 + -4 + (sqrt(832) - (2 + sqrt(832) + -1))) + 2)**2.\nAnswer: 768*sqrt(13) + 119824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 12*p**4 + 194*p**4 + p - 2*p - 3*p**4 - p**2 in the form i + y*p**3 + b*p**2 + m*p + u*p**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189231980 divided by -6758285.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j + 40 = 0. Let u = -9863 + 9955. What is the smallest common multiple of u and j?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -284.6 - -399. Let z = 106 - c. What is z rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4708 and 18832?\nAnswer: 18832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(153) + 0))**2*-1.\nAnswer: -616 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 d when four letters picked without replacement from asrjjdjabdrrdrrrr.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -33. Let h = p - -3. Calculate the remainder when 33 is divided by (h\/1)\/(2\/34).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -646, -1548, -2846, -4540, -6630?\nAnswer: -9116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*752.\nAnswer: 4512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 29*s**2 + 72*s + 312. Let w be p(-31). Solve x + w = d, -25*x + 29*x + d = -23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 + 71 - (-17 + 7)) + -14?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 120, -5.1, 0.1, 2, -12\/5?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 7 + 43 = 0. Suppose 0 = -2*n + 5*n - v. Solve 0 = -2*r + 4*r + n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 43 - 1 - (-65 - (-13 - 53))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.24 - -0.06. Let f = 0.2 - -0.8. Let m = 4\/7 - 29\/63. Which is the nearest to f? (a) y (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/592 and -87\/40.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 13, s: 3, n: 1, p: 2}. Give prob of picking 1 n and 2 p.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2411173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 69193710 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2706842*c**2 - 260 + 26 + 2706813*c**2.\nAnswer: -29*c**2 - 234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5484, 5439, 5386, 5325, 5256?\nAnswer: 5179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -2386?\nAnswer: 2383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51334.\nAnswer: 2, 25667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3625052.\nAnswer: 2, 906263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - r + 2. Suppose 0*p = -4*p. Let a be v(p). Let g = 20 - 20. Put 1\/2, g, a in descending order.\nAnswer: a, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.22 + 51.22. Let h = -53 + g. Let f = -21.7 - -22. Which is the second smallest value? (a) f (b) 1 (c) h (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 10*i**2 + 17*i + 64. What is n(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**5\/20 + 7*l**4\/4 + 35*l**3\/6 + 31*l**2\/2 - 44*l. What is the smallest common multiple of 80 and y(-19)?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*x. Suppose x = -0*k + k. Suppose 0 = 4*a - 4, k = 2*u + 3*a - 9 - 118. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9125369 at most as big as -9125370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x - 2*x + x)*(0*x + 2*x + 0*x) + 6*x - 5*x - 2*x - 13*x**2 - x + 4*x**2 + x in the form d*x + v + p*x**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2413.855604 rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -25. Which is the nearest to 0.1? (a) r (b) 0.06 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 + 24*o**2 + 5*o - 16. Determine u(12).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 405851347 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 32 (b) 103281 (c) 2\/11 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 0.4 (c) 4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-18 + 0) - -1. Let h = q + -8. Let t = -778778 - -778798. What is the greatest common factor of t and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24433230 (base 5) to base 10.\nAnswer: 233565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5029*u + 814*u = 84300 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*a**4 - 2*a**3 + 6*a**2 + a + 1161?\nAnswer: -528*a**2 - 12*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -12 - a**3 - 8*a - 7*a**2 + 7*a + 3*a - 5*a. What is the remainder when 35 is divided by v(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1020*s - 18363. Give r(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 0 + 0*t**2 - 1\/6*t**3 - 79*t. Let x(u) = 2*u**2 - 98*u. Give i(x(s)).\nAnswer: -2*s**2 + 98*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/(-80))\/(2\/(-10)). Let k be ((-22)\/4)\/(t\/(-4)). Which is greater: 9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from 104.9459.\nAnswer: 105.0259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4 + (-3900)\/(-40). Suppose 0 = -5*x + 5*q + 30, 4*x + 0*q + 4*q = 48. Let u = x + 7. What is the greatest common factor of c and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 + 66. Solve 0 = -3*t - o - z - 3, o + 15 = -4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156 or 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/18 + (-6)\/27. Let o(t) = -2*t**2 + 8*t - 9. Let p be o(6). What is the units digit of (-253)\/p - m\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 291302, 582629, 873956, 1165283?\n\"Answer: 291327*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 - 263?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -604 and -4?\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 2 - 10) + 5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2412381547?\nAnswer: 2412381547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -144021141?\nAnswer: -144021141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -19396680 divided by -484917?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4166739 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(26)\/((sqrt(18)\/sqrt(3))\/sqrt(3) - sqrt(2) - sqrt(2)))**2.\nAnswer: -6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {i: 2, b: 7, s: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 2. Let c be r(0). Let j be ((-4)\/(-5))\/(c\/5). Suppose -j*x - 329672 = 110328. What is x rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1725)\/(-7245))\/(10\/4)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12785 equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 240. Suppose 6*z + f = -1111. Is (11 - 12)*1*z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 28 = 4. Suppose 0 = y*v - 5*v - 21. Let t = -1 + v. Solve -4*x - 26 = -t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/72*(-188)\/(-47))\/(2*60\/(-2016))?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urursru. Give prob of sequence rs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/48*(-1 + 5). Solve 7*n = v*n + 12, -k - 2*n + 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 21*d + 10. Let z be w(7). Suppose -z*i = -5*i - 5. Sort i, -3, 28, 0 in increasing order.\nAnswer: -3, 0, i, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.738736 less than 0.2658921?\nAnswer: 116.0046281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 416*p**2. Let j(o) = -146*o**2. Determine u(j(t)).\nAnswer: 8867456*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 30155994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 789 + -790. Let j = -1 - -1. Which is the nearest to j? (a) o (b) -1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -2102)\/((-8)\/(-12)). Suppose -z = 2*z + j. What is z rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/36 + (-6)\/(-27). Let r = -1 + 0.5. Let n be (-2)\/31 + (-1353)\/(-1271). Which is the nearest to 1? (a) n (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6196 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 3781632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13118, -12479, -11826, -11153, -10454?\n\"Answer: f**3 + f**2 + 629*f - 13749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -42 times -0.25\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 21. Let m = -193 - -198. What is the fourth smallest value in 1.1, m, r, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 4 = -7*a, -v = -a + 4. Suppose -11*r + 3*r - 1320 = v. Is r greater than or equal to -165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451.9 minus -0.31?\nAnswer: 452.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + 155. Is 24 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (252\/24)\/(3\/4). Let t be (12\/j)\/(-3 + (-66)\/(-21)). Let k(z) = 23*z**2 - 17*z. Let h(r) = 8*r**2 - 6*r. Determine t*k(b) - 17*h(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 99*i)*(-64 - 3 - 49).\nAnswer: 11484*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q = -12. Let y = -4 - q. Let r(c) = 4*c**3 - 2*c**2 + c. Is r(y) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.87 - -28. Let p = v - 17.13. Let m = p - -18. Put m, -2, 5 in descending order.\nAnswer: 5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*v + 6, -4*n + 3*v = -202. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*u - 23, s + 25 - 2 = -4*u. Let j = -12 - s. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 9*w - 15*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*v**2 + 7*v**2 - 12*v**2.\nAnswer: 34*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1188129 or -1188130?\nAnswer: -1188129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/4 - 2625*c - 2296875.\nAnswer: -3*(c + 1750)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**9\/72 + l**5\/10 - 5*l**4\/12 - 3*l**2 + 20. Find the third derivative of r(o) wrt o.\nAnswer: -840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 742554479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/147*-7 - 7823702954\/(-69). What is c rounded to the nearest one million?\nAnswer: 113000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1754, -2134, -2446, -2678, -2818, -2854, -2774?\nAnswer: -2566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2. Let q(c) = -5*c - 6. Let i(r) = 5*r + 7. Let u(z) = -6*i(z) - 7*q(z). Calculate u(y(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78508, -157013, -235518, -314023, -392528?\nAnswer: -471033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*y = -330, -5*f + y + 3*y - 550 = 0. Let m be (-11)\/f*(-3 + -1). Which is the closest to m? (a) 2\/5 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-5))\/(36\/(-90)). Which is the nearest to 1\/3? (a) -2\/15 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50321\/48 - 2097\/2. Is 1 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 4:42 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 3*t**2 + 2*t + 17. Give w(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77468, -77459, -77446, -77429?\nAnswer: -77408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00073211632 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((4\/(-12))\/((-4)\/(-1860)*-5)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 438\/(-36) - 2\/(-12). Let i be (-7)\/f - (-4)\/(-12). Factor -1\/2*x**3 + 3*x**4 + 9\/4*x**5 + i*x - x**2 + 0.\nAnswer: x*(x + 1)**2*(3*x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**3\/6 + i**2\/2 + i. Let l(k) = 5*k. Let y(m) = 2*g(m) - l(m). What is the units digit of y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 78\/33070811 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.18 and 0.01?\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -5*t + 47, 30*t + 40 = 34*t + 4*l for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 30*v**3 + 8*v**2 - 19*v + 13. What is the units digit of r(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 6)*(0 - 1 - 3)*(29*a - 32*a + 15*a).\nAnswer: -480*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 + 10*f + 10. Let z be u(-6). Let q = 264 - z. Suppose -2*h + 12*h - q = 0. Calculate the remainder when 31 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 13*t + 2. Let q be b(11). Let d = q - 11. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18620 to the nearest one hundred.\nAnswer: -18600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -1)*(-6)\/18. Suppose -b = -y - 6*b - 3, 0 = -b + p. Let d(j) = 2*j + 27. Let i be d(y). Calculate the highest common divisor of 33 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -347.4 + 340.4. Let n be (-66)\/26 + 18\/6. Let v = n + -40\/143. What is the closest to r in v, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2))**(2\/25)*(h\/h**(-1\/9))\/h**(-19) assuming h is positive.\nAnswer: h**(4489\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*i**3*y - 14674*i**3 - 2*i**2*y**4 - 2*i**2 + 33*i*y wrt y.\nAnswer: 13*i**3 - 8*i**2*y**3 + 33*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102 + 5?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3257151700 rounded to the nearest 1000000?\nAnswer: 3257000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8924?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b*m**2 + 143*b - 2*m**4 - 15*m**2 - 1376*m + 1220 wrt m.\nAnswer: -6*b*m - 8*m**3 - 30*m - 1376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.606771828 and 2.805.\nAnswer: 0.198228172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 299*a*y**3 - 26*a*y**2 - 2*a*y - a + 3*y**3 - 33*y**2 - 13422*y - 2 wrt y?\nAnswer: 1794*a*y - 52*a + 18*y - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 5*u**4\/8 + 1624*u**2 - 34. Let b(c) be the second derivative of 23*c**3\/6 - c. Determine x(b(o)).\nAnswer: 345*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 6 (b) 2 (c) -2\/17 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(1\/18))**48)**(1\/5))**(-50) assuming t is positive.\nAnswer: t**(-1360\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -0.0616 (c) -0.5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + 11 + -81 + (21 - 11) - 11\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/4 + f**3\/3 - 35. Let k be c(0). Solve k = -2*y + 3*y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 21a7 (base 12) in base 2?\nAnswer: 111010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 1257, -1034, -3?\nAnswer: 1257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12663730 is divided by 14197.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681820 a multiple of 940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-12)*-3)\/(1\/(-86)).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158187409.\nAnswer: 107, 1478387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - (33 - 36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 3, 252, 9, 2, -2 in increasing order.\nAnswer: -51, -2, 2, 3, 9, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -5d?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 3*l + 2*g = -108, 4*l - g = 104. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -105630852 divided by -8802571\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -2.9. Let q = -0.54 + 0.04. What is the nearest to -0.1 in 4, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25057, -100055, -225045, -400021, -624977, -899907?\n\"Answer: x**3 - 25002*x**2 + x - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*b**2 + b + 3*b**2 - 3*b + (-362 + 6448*b + 751 - 389)*(2*b - b + 0*b) to x + q*b + m*b**2 and give m.\nAnswer: 6441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 3*h**2 + 60*h + 105. Let o be i(-5). Suppose g + g + 30 = 4*j, -j = -2*g - 12. What is the highest common factor of o and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsxfxfsfgxsfssxxfx. Give prob of picking 2 f and 1 x.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 95, 362, 807, 1430, 2231?\n\"Answer: 89*y**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 860150.4 micrometers to nanometers.\nAnswer: 860150400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 270*k**4 - 654*k**4 - 602*k**4 - 201*k**4 + 574*k**2 wrt k.\nAnswer: -28488*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10864098\/30)\/7 + 6 + 203\/(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*(-4*(sqrt(104) + -2*sqrt(104))*3)\/((sqrt(8) - sqrt(432)\/sqrt(6)) + 1*sqrt(128)))**2.\nAnswer: 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - 4*j + j + (-4 + 1 + 1)*(2*j + 0 + 0) - 3*j - 33*j - 7*j + 1.\nAnswer: -48*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004811145 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(3 + k**4 + 0*k**4 - 2) + 0*k**4 - k**4 + 3*k**4 + (0*k + 2*k - k)*(-k + k - 5*k**3) + 111*k**3 + 88*k**4 - 111*k**3.\nAnswer: 83*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 8*q - 4. Let v be r(7). Suppose 5*n = -v*c + 22, n = 5*n - 5*c + 12. Is 4 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7821 and 4497312.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/3)*k)**(-15)*(k\/((k*(k\/k**3)\/k)\/k))\/(k*k\/((k\/(k**(-5\/4)\/k))\/k)*k) assuming k is positive.\nAnswer: k**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1737, -3468, -5189, -6900, -8601, -10292, -11973?\nAnswer: -13644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**3 - 2*j + 2*j + 0*j**3 + 4*j**3 - 5*j**3 + (-5*j**2 + 5*j**2 - 3*j**3)*(3 - 2 - 3) + (-151*j + 50*j + 38*j)*(-j**2 - 2*j**2 + 5*j**2).\nAnswer: -124*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*j + 3*q, 12 = -j + 2*j + 5*q. Let o be (15 - 2) + (5 - (0 + 1)). Solve -o = 2*f - j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 420511?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4))**(1\/2) assuming u is positive.\nAnswer: u**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 31. Let t be y(-11). Suppose -162 = t*x - 22*x. Is 27 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/60 + 20*d**2. Let p(u) = 23*u. Give i(p(f)).\nAnswer: 529*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6566767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(19)*2*1.\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - 0.22. Let i = 0.1 - -3.9. Which is the closest to -5? (a) i (b) -5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13775, -14503, -15679, -17303, -19375, -21895?\n\"Answer: -224*d**2 - 56*d - 13495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2947?\nAnswer: -5\/2947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**5\/20 - c**4\/3 - c**3\/2 + 5*c**2\/2 + c + 3. Let p(r) be the first derivative of a(r). Is 15 a factor of p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + (sqrt(2057)*-2)**2*6 + (sqrt(2057) + 1 + 0)**2.\nAnswer: 22*sqrt(17) + 51435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293727.\nAnswer: 3, 7, 71, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2494809\nAnswer: -2\/2494809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33838? (a) 68 (b) -0.3 (c) -4 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113 + -102. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5))**(-2\/7)*v**5\/(v*v**(3\/2)))\/((v\/v**(2\/23))\/((v*v**(-1))\/v*v))**(-13) assuming v is positive.\nAnswer: v**(23319\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -416*r**5 + 655760*r**4 - 226104*r**3 - 1323316*r**2 - 825728*r - 151296 = 0. Calculate r.\nAnswer: -1\/2, 24\/13, 1576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492534?\nAnswer: 2, 3, 7, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a**3*a)*a\/a**(-4\/5))\/(a**(-2))**18 assuming a is positive.\nAnswer: a**(164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -59*r**2 + 14*r - 11. Suppose -3*w = 3*n - 24, 6*w = 2*w - 20. Let v be u(n). Round v to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((2 + (0 + (sqrt(2) - sqrt(18)))*-1)*-5 + 5) + -5)**2.\nAnswer: 2000*sqrt(2) + 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 60161372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 28\/6*12690\/(-42300)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15332085 by 3066417.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -497*t**5 - 5*t**2 + 14*t?\nAnswer: -29820*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.365287 times -0.4\nAnswer: -0.1461148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 432\/45*(-30)\/(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20913 + 20913. What is the biggest value in z, -2, -4, -0.12, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2. Let l(i) be the third derivative of 36*i**3 + 23*i**2 + 0 - 4*i + 1\/12*i**4. Give d(l(t)).\nAnswer: -8*t**2 - 1728*t - 93312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 62?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2173*z - 251*z - 77190 + 23374 = 0 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1.98, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36923\/25 - 1477. What is the biggest value in c, 1\/4, 43, -4?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2637 + -266162?\nAnswer: -268810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 14) + 4 + (1 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 657252 and 1643130.\nAnswer: 3286260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + -18 + 19 + -4. Solve 2 = v - q*c + 8*c, -3*c = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22, 75, 128, 181?\n\"Answer: 53*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2101*h - 2105*h + 100 = 0. Suppose -2*l + 18 = -f, 3*l - 3*f - 6 - 18 = 0. What is the remainder when h is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 3, -6\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*m + 3*z = -944, 4*m - 4*z = 760. List the prime factors of m.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + 0 + sqrt(48) + sqrt(48))*6.\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 936980*s + 43896576020.\nAnswer: 5*(s + 93698)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*((sqrt(175) + -1)*3 + (sqrt(175) - (-3 + sqrt(175)*-1)))**2*5)*5.\nAnswer: -656265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 23*a - 7*a - 3 - 7*a. Let i(t) = -t. What is i(x(c))?\nAnswer: -9*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 15316924?\nAnswer: 199120012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j**(-4)))**(2\/127) assuming j is positive.\nAnswer: j**(10\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/11, 0.3, 1943852?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 212735221\nAnswer: -106367610.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l + 42 = 4*a, -15 = -5*l. Suppose 3*r - 25 = -13. Let n(t) = 4*t**2 - 3. Let y(c) = -c**2 + 1. What is a*y(g) + r*n(g)?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (176\/(-30))\/(-88)*195.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7580, -6 in decreasing order.\nAnswer: 7580, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16716000 rounded to the nearest 100000?\nAnswer: 16700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 628888315 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (25\/((-250)\/(-18)))\/((-3)\/50) + 3\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.6956047ns?\nAnswer: 0.0000000006956047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 71?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 10. Let r be p(-6). Let b = -19 + r. Suppose -b*s - 3*s + 30 = 0. Calculate the smallest common multiple of s and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8590*s**3 + 6971*s**2 wrt s.\nAnswer: -51540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1979 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - 0. Let m = -0.59 - b. Let y = m - -0.0924. Round y to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3077 is divided by 3046?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49134 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1960149 months to decades.\nAnswer: 0.0016334575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -57 + 409. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 247? (a) 1 (b) -2 (c) -13 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4400 * -0.21928.\nAnswer: -964.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9776 + 24035 + 35063 - 17829)*(0*c - 2*c + c) to the form d + v*c and give v.\nAnswer: -51045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccs when four letters picked without replacement from {s: 15, c: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -491461*k**2*v**3 + 2*k**2*v - 17332*k**2 - 2*k*v**2 - 3*k wrt v?\nAnswer: -2948766*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gkggggcgkcgg.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -5, 2\/19, 15, 1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**5\/60 + y**4\/6 - 5*y**3\/6 + y**2. Let l be v(-5). What is the units digit of (l - (-9 - -1)) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 3*p)*(-3*p - p**2 + 3*p)*(6 + 1048 + 45 + 538).\nAnswer: -3274*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120110110020 + 1211?\nAnswer: 120110112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/75 - 13\/75. Sort m, 0.12, -5 in descending order.\nAnswer: 0.12, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 9 = 3*c, -4*r = 5*c - 4*c - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 10. Let g(y) = y**3 + 251. Is g(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 418554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 4. Let g be h(4). Suppose -5*n = -3*c - 0*c + 38, -5*c = -5. Let a be 24\/14 - 2\/n. What is the greatest common factor of g and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-2) + (3 - 3). Let t(u) = 12*u + 5. Let s(h) = 51*h + 20. Let n(r) = 2*s(r) - 9*t(r). Let w(a) = 5*a + 4. Calculate d*w(j) + 4*n(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -559, -9800, -0.4 in ascending order.\nAnswer: -9800, -559, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 5 - (22\/(-14))\/(-1). Which is the third biggest value? (a) 1 (b) i (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.061 (b) -0.2 (c) 1\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 249724584 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202 + -201. What is the third smallest value in -0.5, f, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -188.421 + -0.779. Round m to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -16*z + 3. Let g = 41 - 39. Let h(t) = t**g - 4 + 4. Determine h(j(k)).\nAnswer: 256*k**2 - 96*k + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104656 and 24.\nAnswer: 313968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3757*t + 3756*t + 3 = 0, -21 = 4*k + t for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 + 7*n**2 + 55*n\/2 + 21.\nAnswer: (n + 1)*(n + 6)*(n + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0)*(-15)\/(-10). What is the smallest value in -5, j, -1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*(-1288)\/(-1380))\/((-14)\/20).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 4\/286210503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 47 - 39 = 0. Let p be (0\/2 - -5)*1. Suppose k - 27 = p*w, -w = 4*k - q - 23. Calculate the greatest common factor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516895856 a multiple of 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 6*y - 90. Let r be -2446*2*2\/(-8). Suppose -r = -y*x - 407. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*w - 0*n - 3*n, 3*n + 21 = -3*w. Let l be 12 - (w + (4 - 1) - -3). Solve 0*p + c - 12 = 5*p, l = p - 4*c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogko when four letters picked without replacement from {k: 3, o: 3, g: 5}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25\/86 + -7\/172. Factor -1\/2*t**2 + 1\/2*t**4 + 0 + 0*t - 1\/4*t**3 + k*t**5.\nAnswer: t**2*(t - 1)*(t + 1)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 441084*o**2\/5 - 374039224*o\/5 - 6784\/5.\nAnswer: 4*(o - 848)*(110271*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 425578.9 to the nearest 1000.\nAnswer: 426000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.21 + 20.7\nAnswer: 21.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138621 or -138587?\nAnswer: -138621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-12))\/(9\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/2*(3 - 2) - 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 123 = 45*f. Let t(z) = z**3 + 17*z**2 + 28*z - 28. Let o be t(-15). Solve s + 0*g = 4*g + 4, -s + o*g + f = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*(76\/(-133))\/(2\/(-7))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/2*(-136)\/6052*-89 - 4.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2273 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -39.\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 - (7 + 26 + -57)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 489071029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1588 is divided by 1584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -565809 + 9.77667848.\nAnswer: -565799.22332152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1 - 1. Solve 2*w - 3*o = 3*w + 1, 2*o = m*w + 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 28.09528mm?\nAnswer: 0.00002809528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 382*l - 2620. Determine p(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26739211183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299 - 4*b + b - 136 + 4*b.\nAnswer: b - 435","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4414999709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(504) - -1*-1*sqrt(504)) + 3*(2*sqrt(504) + sqrt(504)) + sqrt(504))\/((sqrt(56)\/(sqrt(7)*1) + sqrt(8))*-3)*6)**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 100.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*y + 1012 = -360 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -0.7 (b) -6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*t - 95*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 + 79 = x, 4*a = 3*x + 165. What is the lowest common multiple of 18 and a?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*g - 83*g - y + 38016 = 0, 4*y = 3*g - 56991. List the prime factors of g.\nAnswer: 3, 5, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/26 and (78\/63)\/((-840)\/98).\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/3*(-9 - 6\/2). Let w be (172\/(-8) - 0)\/(3\/(-6)). Let p = w - m. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 2. Calculate the remainder when 12 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8065373.\nAnswer: 8065373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/104 and ((-4)\/(1008\/1242))\/((-6)\/(-5))?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1809, -7477, -16929, -30171, -47209?\nAnswer: -68049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/21)\/(2\/4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*t - 87*t - 476 - 1348 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 13 = r - 2*r, 0 = -5*r - 3*g + 30. What are the prime factors of (-92)\/(-4) - (-1 + r)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(14\/(-4)) + 2. Suppose 0*g - 70 = -5*g. Let j(o) = -g*o + x*o - 11*o. Let i(s) = 2*s**2. Calculate i(j(n)).\nAnswer: 1250*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(240)\/((sqrt(12) - (sqrt(12) - sqrt(12)*-4) - sqrt(12)) + sqrt(12)))\/sqrt(10) + (sqrt(896)*-2)\/sqrt(7).\nAnswer: -59*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyayyaoyioiimoayiiy. What is prob of picking 1 m and 1 a?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 12)*((-19209)\/209 + 93)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + 121 + (-78 - -38)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 40 - (30 + 4 + -1)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6379, 6392, 6405, 6418?\n\"Answer: 13*j + 6366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*3*(2 + sqrt(17))*5)**2.\nAnswer: 32400*sqrt(17) + 170099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14780166 and -18.\nAnswer: 266042988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**4\/8 - b**3\/2 - 2*b**2. Let a be j(6). What is the tens digit of (6\/a)\/((-1)\/(-25))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 2755.\nAnswer: -1\/2755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -5*m + 184, 5*m - 140 - 38 = 47*v - 46*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*k - 12, -s - 3*k + k = -8. Let t(a) be the second derivative of -1\/6*a**4 + s - 1\/6*a**3 - 1\/20*a**5 + 0*a**2 + 3*a. Factor t(i).\nAnswer: -i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 29 - 11) + -32\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*n**2 + 8*n**2 - 345 + 72*n**4 - 298 + 206 with respect to n.\nAnswer: 288*n**3 - 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-260))\/(20\/(-260)). Let k(u) = -14*u - 5. Let h(j) = 1. Calculate t*k(c) + 4*h(c).\nAnswer: -14*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 78\/10877111 or -1?\nAnswer: 78\/10877111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/3)\/((-9)\/(-27)). What is the third derivative of -8*c**3 + 65 - 65 + 6*c**j wrt c?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 233 + 189 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -17671\nAnswer: 20\/17671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**5 + 48743*n**4 + 945*n**3 - 474774992*n wrt n?\nAnswer: 20*n**3 + 584916*n**2 + 5670*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*m - 4*m - 14*m**3 + 7*m + 10*m**2 + 12*m**3 - 8*m.\nAnswer: -2*m*(m - 3)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5911 - 13961 + 6361)*(-8 + 5 - 7)*(3 + 2*z**2 - 4 - z**2) in the form t + p*z + x*z**2 and give t.\nAnswer: -16890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(224))\/(sqrt(288) - sqrt(288)*-1 - sqrt(288)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -11*o**2. Let n(z) be the third derivative of 101*z**2 + 0*z + 0*z**3 + 0*z**4 + 17\/30*z**5 + 0. Determine -16*m(i) - 5*n(i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 483739?\nAnswer: -11\/483739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -365*s**2 + 110*s. Let p(o) = -26*o**2 + 8*o. Let w(a) = 55*p(a) - 4*v(a). Let c(n) = 18*n. Calculate w(c(u)).\nAnswer: 9720*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 - (-8 - (-17 - -7 - -3 - 1)) - 10.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 3\/7 (b) -810 (c) 0.2 (d) 1\/9 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 + 55. Let p be ((-6)\/7)\/(j\/56). Suppose -p*q = -17979 - 2763. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2162540\/101 - -21412. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 987361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/(-84) - (-1)\/((-2)\/(-4))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**5\/75 - t**4\/60 - 3*t**2\/2 - 2*t. Let y(d) be the first derivative of p(d). Find x, given that y(x) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = g - 1, 0 = -5*o - 2*g + 11. Suppose -2*z = -7*z + 3*c + 25, -2*z - c = o. Does 17 divide 1\/z + (-99)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5 - 34*a**4 - 94*a**3 + 706*a**2 + 2016*a - 2592 = 0.\nAnswer: -9, -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.38383km in nanometers?\nAnswer: 97383830000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 688 and 7472.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*c**2 + 6888822*c + 3757536.\nAnswer: (c + 626256)*(11*c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239\/134 + -19\/67. Factor -3\/8*l**2 - 9\/8 - j*l.\nAnswer: -3*(l + 1)*(l + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 995.6 - 996. Let k(v) = v - 5. Let o be k(-5). Let t be ((-2)\/4)\/(4\/o). What is the closest to -2 in s, t, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 20*v - 2974. Calculate the remainder when 179 is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*k - 2*k, k + 2*m = -14. Let t(d) = 2*d**2 + 5*d + 2. Let o be t(k). Let j be 17\/o + (-3)\/2. Are j and -1\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/567 and 5\/38723958?\nAnswer: 348515622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 475152 (base 10) in base 4?\nAnswer: 1310000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71732652 to the power of 1\/2, to the nearest integer?\nAnswer: 8470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -409\/231 + -454\/77. Sort 0.2, -1, h, -39.\nAnswer: -39, h, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/3*(-33)\/(-44)*2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 173, 186, 211, 248?\n\"Answer: 6*v**2 - 5*v + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -101140 (base 6) to base 9\nAnswer: -12036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjuuujj. What is prob of picking 2 j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, w: 5, e: 3}. Give prob of sequence xx.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*h**2 + 58*h**2 + 12*h**2 - 29*h**2.\nAnswer: 214*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 449, 1153, 2175, 3515, 5173, 7149?\nAnswer: 9443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/168 and 48\/5.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2128783*h**2 - 7*h**4 - h**3 - 151*h + 2128780*h**2 + 9*h**4 to a*h**4 + y + j*h**3 + q*h**2 + k*h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 + 86.05. Let v = 0.05 - s. Put -0.3, v, 4 in decreasing order.\nAnswer: 4, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -22*n + 20*n - 1, 0 = -n - b + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p + p)*(-2*p + p + 0*p)*(p + 5*p - 3*p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106407?\nAnswer: 3, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 96, 49, 4.\nAnswer: 1, 4, 49, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*(sqrt(420)*1 + sqrt(420))\/sqrt(12))\/(sqrt(5) + (sqrt(50)*2)\/sqrt(10) - (sqrt(60)\/sqrt(3) - sqrt(20))).\nAnswer: -4 - 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*-45841.\nAnswer: 3667.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*(-20 - -4). Let o be m\/28 - 11\/(-14). Let c = 3.06 + -3. Put c, -0.1, o in decreasing order.\nAnswer: o, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -260.7 - -238.688. Let t = -22 - s. What is t rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613 + 2098 = -159*w - 310 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(132)\/((-5*sqrt(96))\/sqrt(8)) + ((sqrt(704) + -3*sqrt(704) - sqrt(704) - sqrt(704) - sqrt(704)) + 0)**2.\nAnswer: -sqrt(11)\/5 + 17596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104.99 - 105. Let p = q - 0.39. What is the closest to 3 in -5, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 - 69.2. Which is the fourth smallest value? (a) 0.04 (b) 2 (c) -0.4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5 (b) 0.2 (c) -5.1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from {o: 1, f: 1, v: 2, t: 1, p: 1, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 + -0.6. Let h = -56 - -57. Sort 4, h, u in decreasing order.\nAnswer: 4, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*(-32)\/24 - -1. Let q = 6 - 5. Put q, 2, o in descending order.\nAnswer: 2, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = -2. Let u be (p - -1)\/(1 - -1) - -173. Let f = 289 - u. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7)**(-2\/69)*(w*w*w**(1\/10)\/w)**(-44) assuming w is positive.\nAnswer: w**(-16768\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002603041366 rounded to 5 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17 - -27 - (1 + 4). Let k be (-2)\/9*(-26)\/j. Suppose -3*x + 4*b + 7 = -0, -2*x - 1 = 3*b. Is x bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.15 or 653?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12415 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 2\/4343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 7:15 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**5*n)\/n)\/n**(-12))\/((n\/((n**15*n)\/n))\/n**(1\/7)) assuming n is positive.\nAnswer: n**(155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, m: 1, f: 2, e: 5, h: 1, x: 2}. What is prob of sequence ejx?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2860 and 17\/33748?\nAnswer: 168740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 25*x**2 - 505*x + 249. What is q(38)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.88 + -7. Let c = i + -0.28. Sort -3, 1, c in ascending order.\nAnswer: -3, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1791517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(200) + 2 - sqrt(200)))**2*-1.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 137*q + 71. Let n be z(-13). Let p = 5357 - n. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(171) + sqrt(171))*1)\/((sqrt(9) + sqrt(9)*-2)*-3 + sqrt(9)) + 0.\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2. Let d(y) = -205*y**2. Calculate d(p(t)).\nAnswer: -820*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/(-3))\/(-2) + (-44)\/66.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6317 divided by 28817?\nAnswer: 6317\/28817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3)*1*3078\/19)\/(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1539b75 (base 12) to base 5\nAnswer: -2100401302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 537, 979, 1281, 1407, 1321, 987, 369?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1325, 6, 29 in ascending order.\nAnswer: -1325, 6, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 + -2.5. What is the nearest to k in 13, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126695?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49\/(-245))\/((-27)\/(-15)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*((-3 + 2 - 1)*(4*w - 4*w - w) + 1 - w - 1)*((4 - 5 - 3)*(1 - 3 - 1) + 3 - 4 + 5).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1836300 by -30.\nAnswer: -61210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 40 = 3*k + 5*o, o = 5*k - 46. Calculate the remainder when 21 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10425 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2. Let b(k) = -6*k**2 + 3 - k**2 - 5*k + 7*k. Let t(u) = -b(u) - 6*i(u). Determine t(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 26*l**2 - 15*l - 405. What is u(-26)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*f + 0 - 274 - 1143 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79\/462 - 1\/231. Which is the second biggest value? (a) f (b) -0.03 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4909 - -4939. Solve -m*f + 20 + 70 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -1, 1\/3, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*j - 26\/9*j**4 - 18 + 2\/9*j**5 + 44\/3*j**3 - 36*j**2.\nAnswer: 2*(j - 3)**4*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758680768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 - -2404?\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1923777 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.11 (c) -41.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -7. Suppose 5*m = -a + 2, -4*a + k*m = a - 39. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 54 + 298. Solve -x + 7 = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -497*g + 483*g + 28550662. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 12*b**2 + 12*b - 8. Let o be x(11). Suppose -h = -4*y - 28 + 9, 0 = -4*h + 4*y + 16. Sort -2, o, -6, h in ascending order.\nAnswer: -6, -2, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1339 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60 or 57?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -832 = -4*g + 820. Let a = g - 66. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/11)*k**(1\/2)*(k**(-2\/21)\/k)\/((k*k*k**0*k)\/k)*(k\/(k**(-2\/3)*k))\/k**(1\/9)*((k*k**(-2\/11))\/k*k)\/(((k\/k**(-2))\/k)\/k*k) assuming k is positive.\nAnswer: k**(-4717\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0.1, -2\/9, -20, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/56 + 3892\/784. Sort 1, y, -271 in ascending order.\nAnswer: -271, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*w**3 + 28*w**3 + 26*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a - 71. Let m be x(-19). Suppose 0 = -4*t + 3*n - 1 + 6, -m*t - 17 = 4*n. What is the closest to -3\/5 in 0.5, -3\/7, t?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 10*l**5\/9 + 2218*l**4\/3 + 117830*l**3\/9 - 791782*l**2\/9 - 268720*l - 833336\/9 = 0.\nAnswer: -647, -23, -2, -2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 8 + (6 - (-7 + -10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 5. Let v be s(-6). Let g be -12 - -10 - 2*v. Let k(x) = 3*x + g - 3 - 4 + 2. What is k(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*-2*-2)**2 - (-1 + sqrt(567) + -5 + sqrt(567)))*-3 - ((-3 + sqrt(567) + sqrt(567)*-1 + sqrt(567) + sqrt(567))**2 + (sqrt(567)*6*-2)**2).\nAnswer: -111159 + 162*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -16. Let r be -1*(0*(-4)\/(-4))\/(-1). Sort r, 1, b, 4 in descending order.\nAnswer: 4, b, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*y + 110*y = -100. Let c = -1.07 + 0.07. What is the closest to 2\/5 in y, 3\/4, c?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or -0.0311865144?\nAnswer: -0.0311865144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-200)\/18)\/(-2)*-3. Let o = 84\/5 + w. Is o bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 + 123. Let s = 4139415.999965 + -4139436. Let f = s + w. Round f to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 11*c**2 - c - 6. Suppose 2*z - 101 - 33 = 0. Suppose 0 = -5*i - 10, -26 + z = -3*n - 4*i. Determine k(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22864444?\nAnswer: 2, 601, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 41 * 538745\nAnswer: 22088545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.274545 rounded to 2 decimal places?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, o: 1, a: 2, w: 3, d: 6}. What is prob of sequence odw?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 5:40 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0*y - 10*y**3 + 0 - 11\/24*y**4 - 1\/6*y**5 - 232*y**2. Differentiate z(b) wrt b.\nAnswer: -20*b - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1452035 and 7120?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**2 - 13*m**2 + 0*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1231 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4117*f*s**4 + 13*f*s**2 - 19*f*s + 109762*f - 79*s**2 - s wrt s?\nAnswer: 49404*f*s**2 + 26*f - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((4\/10*((-8)\/1)\/8)\/(-2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 + -94.07. Is w <= -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7488)*-5)\/(sqrt(4) + -1*sqrt(144) + sqrt(4)).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4672517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + (-13 - -41 - 14)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m + 0*m)*(-3 + 32 - 1) + 2*m + 0*m + 0*m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 26 = -66. Let q(g) = 10*g**3 + 4*g**2 - 6. Let k(w) = 9*w**3 + 3*w**2 - 5. Give n*q(t) + 6*k(t).\nAnswer: 4*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 1. Determine k(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 346.3 + -347.3. What is the nearest to 0 in -0.1, -1\/4, b, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-34)\/((-4760)\/42)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 46*t - 122. What is d(-4)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 - x - 6. Let o(m) = -10*m**2 + 4*m + 18. Let q(c) = 2*o(c) + 7*z(c). Let k(w) = -w**3 + 13*w**2. Let y be k(13). Give q(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*z = 314*z - 269*z - 8771 + 2606 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1) + 1 + 4. Suppose -2*k - 8 = -c*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 529 + 452. Suppose 4*h = 1543 + x. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 174*w**3 + 2*w + 0*w**2 - 2 - 24*w**3 + w**2. Let m be k(1). Suppose 103*r - m = 102*r. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v - 3. Let j(c) = -c. Let f(t) = b(t) - 3*j(t). Let q(z) = 20*z + 8. Give 8*f(i) + 3*q(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * -0.401.\nAnswer: -0.5213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -70. Let i be k*((-2)\/(-3))\/1. Let a(m) = -5*m**3 - 12*m**2 + m - 4. Let o be a(-3). What is the greatest common divisor of i and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**17*(u**(-8)\/u)\/u)\/((u\/(u\/(u\/u**(10\/7))))\/(u**(-16)*u)) assuming u is positive.\nAnswer: u**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -868*p**3 - 3*p**2 + 26*p + 28. What is w(-1)?\nAnswer: 867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 3, -271, 2024 in descending order.\nAnswer: 2024, 3, 0, -1, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3293, -2733, -2173?\n\"Answer: 560*n - 3853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1530 and 1734.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -90262, -90248, -90234, -90220?\n\"Answer: 14*i - 90276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -l - 30*l + 0*l as x*l + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43935 and 3422.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m - 14*m + 30*m + 40*m - 132*m.\nAnswer: -66*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*28\/(-7)*-36*2249\/4152?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2441*u**2 - 508*u**2 + 1185*u**2 + 727*u**2 + 579*u**2 in the form p*u + q + c*u**2 and give c.\nAnswer: 4424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2801383 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/21*1*(1260\/(-150))\/((-8)\/(-50))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(7*c - 8*c + 9*c) + (2 - 2 - c)*(0 - 2 + 4) + 2*c + 0*c - c - 4*c + 2*c + c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7866 by -85631.\nAnswer: 7866\/85631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1966897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**2\/4 - 460*l - 16965\/4 = 0 for l.\nAnswer: -9, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-m + 2 - 2)*(m**2 - m**2 - 2*m**2) + 4*m**3 - 8*m**3 - 2*m**3)*(-m**2 - 3*m**2 + 2*m**2).\nAnswer: 8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5080 (base 15) to base 5.\nAnswer: -1020440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -5 + -4 + (-26 - -14) + 13.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)*c\/c**6)**(-23)\/((c**(2\/7))**6\/((c\/c**(2\/3))\/c)**(1\/5)) assuming c is positive.\nAnswer: c**(26371\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*s. Suppose 3*c = c + 3*r - 15, -3*c + 3*r - 18 = 0. Let y be 4\/(c\/((-9)\/6)). Solve y*b = s, 2*o + 6 = 4*b - 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - a**5 - a**2 + (0*a + 0*a - a**2)*(2*a**3 + 3*a**3 + 0*a**3) + (a + 0*a + 7*a)*(0*a**2 - a**2 - a**2)*(-2*a**2 + a**2 + 0*a**2).\nAnswer: 10*a**5 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8414799?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.180571 litres to millilitres.\nAnswer: 2180.571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102222000 - -20001?\nAnswer: 110012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1257, 19876?\nAnswer: 1257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44224 - 11505. Let f = t + 4904227\/88. Calculate the common denominator of 5\/12 and f.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49210487 rounded to the nearest one hundred thousand?\nAnswer: -49200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 2, 16195, -4, -3 in decreasing order.\nAnswer: 16195, 5, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.56039 - -0.5966. What is r rounded to three decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4398*y - 191. Is n(37) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 19. Let q be p(-14). Suppose i = 3*u - 16, -4*u + 2*u + q*i + 15 = 0. What are the prime factors of (-119)\/(-3) + u\/15?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + b)*(1 + 2 + 1) + 3*b - b + 5*b + 5*b + 5*b - 5*b + (-4 + 5 - 3)*(-4 + 4 - 2*b).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/3 - 1)\/(6\/(-369)). Suppose -q = 5*f - 56. Suppose 47 + 487 = f*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.086 + 4.086. Let v = 0.8 + -0.3. Let a = 0.1 - 0.2. What is the closest to 2\/3 in v, z, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7390 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 1:21 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {t: 1, b: 2, s: 1, o: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*k**3 + 6*k**3 + 7*k**3 + k**3 + 5*k**3 + 16*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - -18?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {c: 1, v: 1, b: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53307*c + 2421 = 53576*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5236 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 14*m**2 - 32*m - 9. Calculate i(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 7 + 37*p - 86*p + 17*p.\nAnswer: -32*p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/12 + (-5)\/(-20). Factor 4*h - 2*h**3 - h - 7*h + 8*h**2 - 2*h**f.\nAnswer: -4*h*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vke when three letters picked without replacement from {c: 3, v: 1, l: 1, e: 3, k: 2, r: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/4)\/((-1)\/1). Suppose 3*i - 114 - 120 = v. Suppose -3*r - 4*d = -113, 2*r - i = -0*r - 2*d. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 656 divide 2172237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + l + l + 3*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + sqrt(1539) + sqrt(1539) + -3.\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19476 and 78.\nAnswer: 253188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 426934 at least 5550136\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/3, -2, 1766?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -1\/100*f**5 + 0*f**2 + 3 - 1\/30*f**4 - 1\/30*f**3 - 4*f. Let r(a) be the first derivative of t(a). Solve r(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 10. Let m be y(2). Let d(b) = -5 - m + 0*b - b. Let z be d(-17). Let f(q) = 4*q + 2. Calculate f(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (109\/(-27) - -4)*-145. Let s = -835\/108 + v. Let h = s - -9\/4. Which is the third smallest value? (a) h (b) 5 (c) -1\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 65286*v + 197. Is i(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 - 303. Let h(a) = -2*a. Determine z(h(d)).\nAnswer: -8*d**2 - 303","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12534, -25094, -37664, -50250, -62858, -75494?\nAnswer: -88164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -151, -1195, -4071, -9715, -19063, -33051?\n\"Answer: -156*v**3 + 20*v**2 - 12*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1167595 or -4\/43?\nAnswer: -0.1167595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 + 65*a - 314. Calculate v(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -2\/1287 (c) -21 (d) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 19*s**2. Let p(n) = -7*n**2. Give m(p(f)).\nAnswer: 931*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 3096467576 and -0.3.\nAnswer: 3096467575.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4611405 to the nearest integer?\nAnswer: 2147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/16)\/3*-28. Is 6 a factor of (-1342)\/l + -1 - (-64)\/448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*q + 38 = 0, 5*h - 63 + 11 = q. Calculate the remainder when 43 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**3 + 5*u**2 - 7*u + 7. Let k(y) = 2*y**3 + 3*y**2 - 3*y + 3. Let h(t) = 14*k(t) - 6*m(t). Determine f, given that h(f) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1794.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -142\/5 (b) 0.03 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-738))\/(30\/10*(-53)\/1431).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 150.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 6 + 425\/(-59). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34923762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4)\/(-14) - (83080\/140)\/(-2) and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 36*h + 190. Calculate u(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*b + 431*b - 1120*b - 1043*b.\nAnswer: -1418*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19194663*a**2*b*y - 3*a**2*y + 1582*a**2 - a*y - 72*y + 2 wrt b?\nAnswer: -19194663*a**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1 - 4 + 4 + 1 - 2 + 1 + 0 + (6 - 3 - 1)*(-2 - 1 + 4))*(-3*k**3 + 3*k**3 + 2*k**3).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-104)*28\/(-2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8504759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -2\/3 (c) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -13*k. Let f(r) = -2*r - 3. Let z be f(-6). Let i be (4\/6)\/((-6920)\/(-408)*-1 + 17). Let l(v) = -i + 8 + z + 6*v. What is l(h(q))?\nAnswer: -78*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from bbbbyy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 163, 175, 199, 241, 307, 403?\n\"Answer: j**3 + 5*j + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -50\/3*p**2 - 5\/3*p**3 - 125\/3*p + 0 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -29*p**7\/210 - 5*p**4\/24 + p**3\/3 - 14*p**2 - 1. What is the second derivative of n(b) wrt b?\nAnswer: -348*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - -1)*(-2523)\/9. Let a = m - 31. Let w = 1687\/2 + a. What is the common denominator of -149\/12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 - 2948724*c**2\/5 + 1086853960962*c\/5 + 13042672151256\/5.\nAnswer: 2*(c - 737187)**2*(c + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 32*f**6 + 8*f**3 + f**2 + 8*f - 8. Let k(u) = 11*u**6 + 3*u**3 + 3*u - 3. Let w(j) = -3*h(j) + 8*k(j). What is the third derivative of w(c) wrt c?\nAnswer: -960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + 20?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from pacakgaaakkkaigk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006971 to six decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 3:19 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -159 - 16. Let b = n + -128. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8823, 8980, 9243, 9612, 10087, 10668?\n\"Answer: 53*h**2 - 2*h + 8772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(w + 2*w - 5*w) + (469*w - 319*w + 493*w)*(-2 + 0 + 3).\nAnswer: 645*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8838160 - -8.48?\nAnswer: 8838168.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -640*z - 180 = -700*z. Sort z, 4, 8, -1, 14 in descending order.\nAnswer: 14, 8, 4, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.016 - -0.016. Let y = -0.2 - -4.2. Let m = y + z. What is the smallest value in 5\/3, 0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z - z - 3*z - 3 + 5*z. Suppose o = -2*o + 6. Let c be l(o). Solve -c*d = -2*d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 3*i - 27. Let s be (9 + -8)*(-1 - 2). Let o be s\/i - (-2)\/(-18). Which is the nearest to -1? (a) o (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 3*i**2 + 3*i - 7. Let w be z(2). Suppose 2*j - 3*y = 2, 0*j - w = -3*j + 2*y. Let o be 3\/9 - (j + 28\/(-6)). Solve -o*n - n = 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*18\/(-4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*3 + 1 + 3 + sqrt(1216)*3)*2.\nAnswer: 8 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/6))\/(o**(-2\/15)\/o))**30 assuming o is positive.\nAnswer: o**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 821*y**2 + 1010*y + 6. Let o(u) = 1650*u**2 + 2019*u + 13. Let w(x) = -13*d(x) + 6*o(x). What is the second derivative of w(z) wrt z?\nAnswer: -1546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12782789653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 1) + 0 + -13. Let t = 19 + p. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-4)\/42)\/(-1*8*(-370)\/(-20720))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**5\/20 + z**3\/6 - 3*z**2 + 5*z. Calculate l(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(68) + (sqrt(153)\/sqrt(9))**2*4.\nAnswer: 2*sqrt(17) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 136 + 156. Suppose 15*n + v = 16*n. Let o(g) = -g + 10. What is o(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2196139 divided by 3.\nAnswer: -2196139\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 38*a**2 + 225*a - 42. What is the tens digit of n(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7)*-1*6 + sqrt(7)) - (sqrt(525)*1)\/sqrt(3).\nAnswer: -25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 52*f**2 + 53*f - 112. Calculate the smallest common multiple of 4635 and l(3).\nAnswer: 4635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 8:48 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.584 and -80228425411.\nAnswer: -80228425410.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 807227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhhfhfrllhf. What is prob of sequence fh?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/19*(-3)\/20?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -8*c**3 + 5*c**2 + 2*c - 6. Let t(b) = 7*b**3 - 4*b**2 - 2*b + 6. Determine 4*j(f) + 5*t(f).\nAnswer: 3*f**3 - 2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 661471?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = -a + 251. What is the remainder when a is divided by 123?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - 13*s**5 + 12*s**5 - 6*s**2 + (-2*s**4 - 2*s**4 + 2*s**4)*(-s - 3*s + s) + 2*s**5 + 0*s**5 - 3*s**5.\nAnswer: 4*s**5 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1809 and 16239717?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8031911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggn when three letters picked without replacement from ngngnggngnnng?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -29, -2\/15, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/7 + 5\/7. Let v = -3.52 + 4. Let m = 0.02 + v. What is the smallest value in i, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/3 + 80*l**3 - 1490*l**2\/3 + 920*l - 504 = 0 for l.\nAnswer: -126, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 522 - 512. Let i(h) = 4*h**2 + 18*h + 8. What are the prime factors of i(w)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -548 - -554.03. Let h = -0.03 + v. Which is the third biggest value? (a) -0.3 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10512476?\nAnswer: 2, 13, 15551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t + 6. Suppose 0 = -i + 6 + 2. Let h = i - t. What is the highest common divisor of h and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-483 + 347 - 446)*(-f**4 + 0*f**4 + 0*f**4).\nAnswer: 582*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - f - 6)*(1 - 2 + 4)*(-2*f + 0*f - 4*f).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2814380 and 1485.\nAnswer: 835870860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 1\/2*n**2 - 2 + 0*n - n**3. Find the second derivative of y(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2627 = 2621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*g + 4 - 0, -30 = -4*i + 2*g. Is 8 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 - (14 + -19 + 10)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-108)*172 + -5. Which is the nearest to 2\/5? (a) -2 (b) j (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 464 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -66*a - 155. Let v(i) = -13*i - 31. Let u(c) = -11*v(c) + 2*y(c). Let g be u(-8). Let m = 141 + g. Is 28 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.4463085 rounded to one dp?\nAnswer: 13.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120819\/6 + (135\/(-6))\/(-9) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b31b - -2?\nAnswer: 1b320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-11)\/5 + (-23)\/(-115).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l**2 - 3*l**2 - 2*l**2)*(-252*l**2 - 24652*l - 47*l**2 - 23 + 24650*l) to x*l**3 + j + v*l**2 + r*l + u*l**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 771158895?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/2 of a centimeter?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 210\/4830*69*14*4\/(-6)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d. Let n be ((-2)\/3)\/((-20)\/165) - 3. Let l(p) be the first derivative of n*p**2 + 0*p - 1. What is l(g(h))?\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -6*p + 5*v + 31, -3 = -3*v. Suppose -p*h - 20*h = -152. Let s be (-1 - -4)*(-4 + 5). Solve -s*l = -0*i - 4*i + 8, l = h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 16.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88407 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53644 + 36392. Let s = 14 - 29. Is (-36)\/s + -2 - g\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 14, 2 in increasing order.\nAnswer: -1, 2, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**2 - 12379644*d + 12379648 = 0.\nAnswer: -3094912, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1753 times 11\nAnswer: -19283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*k + 4*k = -42, 4*s - 84 = k. Suppose -5*p - s = -2*r, 0 = -r + 5*r + 2*p + 18. Suppose -x = 0, -5*h - 34 = 2*x + 21. Sort 1, r, h.\nAnswer: h, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*a - 356*a + 8 = 4*c, 5*a + 3*c - 6 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 884, -5, -4, -428 in ascending order.\nAnswer: -428, -5, -4, -2, 884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 4*g - 2*g + (-22 + 22 + g)*(-1 + 4 + 5).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -236*l - 28304. Let x(f) = f**2 + 3*f - 2. Calculate the smallest common multiple of x(-5) and r(-120).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r**2 - 4*r**2 - 2*r**2 + (4 + 0 - 5)*(5 + 3 - 6)*(4*r**2 + r**2 - 4*r**2).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 672424569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12660 + -12646. What is the closest to 1 in 0.3, u, 2, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 881.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 1. Let w be g(-6). Let x be -1 - ((-6)\/(-3) - w). Let f = x + -3\/2. Which is the closest to -1? (a) 0 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0.1. Let a = 3 - -1. Let r = a + -5. Sort 1\/8, r, b.\nAnswer: r, b, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -568*b + 22. Let l be r(-5). What is the greatest common divisor of 1378 and l?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 197*k**5 + 6*k**4 + 38*k**2. Let a(l) = -6*l - 41*l**4 + 6*l + l**2 + 42*l**4. Let z(o) = -6*a(o) + i(o). Find the third derivative of z(f) wrt f.\nAnswer: 11820*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 176 = -264 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 11*v**2 - 13 - 56*v**4 + 14*v**2 - 2*v**3 + 17 + 58*v**4 to the form h + o*v**4 + i*v**3 + s*v + p*v**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70505837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - (sqrt(48) + 0)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 166 + -14. Suppose -5*p = 6*o - o + 740, -5*p - z = o. Let w = 189 + o. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13990 divided by -2\nAnswer: 6995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 279*x**2 - x**3 - 9*x + 260*x**2 - 817*x**2 + 268*x**2 to p*x**3 + l + b*x + o*x**2 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 199*l**2 + 1894.\nAnswer: 398*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a milligram in micrograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqjlqpqjqlpi. Give prob of picking 1 c and 1 j.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 3 + (-6)\/3 + 36 + -2?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**(-7\/2))\/v*v**0*v)\/(v**(-1\/5))**(-1\/14))**15 assuming v is positive.\nAnswer: v**(-159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - f**2 + 1. Let l(d) = 6*d**3 - 6*d**2 - 7*d + 9. Give -l(z) + 6*n(z).\nAnswer: -12*z**3 + 7*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 5:45 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + -9 + 54\/(-10))\/(24\/(-220))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*t - 13 = -3*a, -4*t - 16 = 0. Let r(n) = n**2 - 8*n + 3. Let c be r(8). What is the nearest to a in 5, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 - 189681766*k**2 - 16*k**3 + 189681769*k**2 - 7*k**3.\nAnswer: -26*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55550*c**2 - 166719*c**2 + 55533*c**2 + 55577*c**2.\nAnswer: -59*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 5*m + 1. Let s be k(5). Let d = 13 + s. Suppose 0 = -2*g + 8 + d. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*v - 21 = 0, -k + 17 = 4*v - 5. Find the first derivative of -127*b + 29 - k*b**2 - 6 + 127*b wrt b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 bigger than -275060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4526375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 297675 and -0.7045.\nAnswer: 297674.2955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 188\/11 + -4678\/275. Is 1 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30574287 to the power of 1\/3, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146004, -292070, -438136?\nAnswer: -584202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y**2 + 4*y + 3. Let z be m(-2). Suppose 0 = 4*r + z - 51. What is the remainder when 48\/3 - (9 - 13) is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/18*-3*(-1382)\/4. Let v = -468 + z. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 11*y - 14. Let w be t(-9). Let f = -4 - 2. Let z = -5 - f. Sort z, w, -1\/7.\nAnswer: -1\/7, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2557587, 2557588, 2557589, 2557590, 2557591?\nAnswer: 2557592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - 2*f - 1. Let h(z) = -620*z**2 + 90*z + 45. Let o(k) = 2*h(k) + 90*l(k). Let x(s) = -s. Determine o(x(t)).\nAnswer: -1060*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -101, -94, -73, -32, 35, 134, 271, 452?\n\"Answer: b**3 + b**2 - 3*b - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2\/2 - 3735*j\/2 + 246463 = 0. What is j?\nAnswer: 137, 3598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/12 or -1416061?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -27, 297, -260, 5, -3 in increasing order.\nAnswer: -260, -27, -5, -3, 5, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -0.65. Let u = -39.85 + 36. Let h = s + u. What is the third biggest value in 5, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = u - 289, u - 35766*a + 35769*a - 175 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 24. Let n be p(19). Let z(k) = k + 7. Let d be z(n). What is the second derivative of -12*j**d + 3*j**2 + 3*j + 8*j wrt j?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6 - 204\/9. Let r be 2\/(-11) + (-48)\/p. Suppose -q - y + 0 - 1 = 0, r*q = -y + 3. What is the remainder when 13 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 19 - 11 = 0. Suppose -5*j - 2*t - 2*t = -700, -2*t + 690 = z*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 16) to base 11\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136 (base 8) to base 6.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.03 (c) -893\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -76*s + 80*s. What is the second smallest value in -0.5, s, 7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527*c + 243 = 446*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = 0, 5 = 2*g + 3*t - 3. Let x be (0 + g + 2\/(-4))*266. Suppose 0 = -5*p + x + 3972. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*l - m, -675*m + 3 = 3*l - 670*m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.5 (c) 554\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s + 79. What is p(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 0.3. Let d = m - -0.1. What is the third smallest value in -0.1, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 899*o - 901*o - 76 = 5*p, -2*p + o - 34 = 0 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**4\/32 + 19*c**3\/8 + 274*c. Solve g(i) = 0 for i.\nAnswer: -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 855 and 61674.\nAnswer: 925110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -8080, 0.04, -5, 4, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) - (-3 - (-952)\/24). Calculate the remainder when 7\/((d\/(-54))\/(26\/3)) is divided by (-99)\/(-4) + 4\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88506?\nAnswer: 2, 3, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2754 - 7*z + 2754.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 6 - 11. Let q(i) = i - 1. Let k(l) = 29*l - 32. Let s(h) = z*k(h) - 2*q(h). Is s(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 186054 + -185918. Let m(n) = n**2 + 5*n + 3. Let o be m(-5). Sort o, t, 0.\nAnswer: 0, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -1)*(11 + -12). Suppose -t = y - 5. Suppose 0*c = y*c + 282. Round c to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -712 (base 9) to base 16.\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 51*p**2 - 3*p - 2. What is the remainder when 54 is divided by j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 369 + -368.7. What is the fourth biggest value in b, -3, 0, 1.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60123494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1, 0.2, 0.1, 4\/7, 5.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c1a7 - -1?\nAnswer: 2c1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.85 rounded to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 1. Let q(z) = -6*z + 2*z**2 + 4 + 6*z**2 - z**3 - 2*z**2. Let w be q(5). Let f be -2 - (-4 - w - -2). Calculate x(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254225?\nAnswer: 5, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 + -73.007\nAnswer: -75.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 2880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 7*c - 2065 + 2155, 30 = -2*x - 4*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 + 51. Let g = -22.7 - t. Let x(l) = l + 9. Let k be x(-6). Which is the nearest to 2\/7? (a) k (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9956832?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + k**2 - 3*k**2 + (-3*k + 2*k + 0*k)*(-2*k - 4*k + 3*k))*(0*k**2 + 6*k**2 - k**2).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1672885?\nAnswer: 5, 17, 19681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**4 - 3*f + 4*f**4 - 2*f + 1 + 4*f - 2*f**3 to the form c*f**4 + n*f + x*f**2 + a*f**3 + i and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(567))**2*3*4.\nAnswer: 216*sqrt(7) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 7*f**2 + 6*f + 6. Let w be (-26)\/(-4) + 3\/(-6). Let l be r(w). Let n = l + 6. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + l + 4 = 0, 0 = 5*g - 0*g - 2*l - 8. Is (-12 - -6)\/(-6)*(g - -31) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 192 - 188 + 4*c**3 - 13*c**2 + 13*c**3. Let j(x) = -2 + 9 + 1 - 9 - 4*x**3 + 3*x**2. Suppose -k + 52 = k. Calculate k*j(s) + 6*y(s).\nAnswer: -2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**7\/189 + w**6\/135 - 11*w**5\/30 - 133*w**4\/54 - 184*w**3\/27 - 28*w**2\/3 + 2*w + 756. Determine b, given that j(b) = 0.\nAnswer: -3, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1 = 5. Suppose u*j - 8 = -2*j. Suppose -s = -j*s + 3. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*y - 59*y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -3\/4, -0.2, 3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -41*o**2 + 282*o - 105. Let p be s(56). Round p to the nearest one thousand.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/(p\/p**0))\/p)\/p)\/p)**(-32)\/(p\/((p\/(p\/(p\/p**(2\/23))))\/p)*p**(-7)*p))**(1\/8) assuming p is positive.\nAnswer: p**(2321\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 680 = 1592. What is the highest common divisor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*5\/(-2)*(-18)\/(-180). Suppose 30 = 5*f + 5*u, s*f - 2*u - 16 = -2*f. What is the smallest common multiple of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 897402 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -608662, 0.2, -32 in descending order.\nAnswer: 0.3, 0.2, -32, -608662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/349 and 82.47 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14 - 9\/(72\/(-132136)).\nAnswer: 61, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 3 + 9 + (-4 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5 - 123*a**4 - 996*a**3 + 420*a**2 + 18576*a + 17280 = 0. Calculate a.\nAnswer: -30, -8, -6, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12144333221 - -1?\nAnswer: -12144333220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 3)\/(-2 - -1). Let a(z) = 2*z**3 - 3*z**2 + 2*z - 2. What is a(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 3. Let d(f) = 3*f + 1. Is 4 a factor of d(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 831 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 22 - (19 - -5 - -26).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7897, 15507, 23109, 30697, 38265?\n\"Answer: -q**3 + 2*q**2 + 7611*q + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -3)\/3 + 57. Let v = 65 - r. Let l = 55 + v. What is the remainder when l is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 879089240?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.168+-0.5\nAnswer: -0.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -4\/5, 0.2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1001281 is divided by 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213446 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7b (base 12) to base 4\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/12 and -137\/744.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817968 is divided by 48.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1660*i + 19152*i + 24 - 7 - 17)*(4*i**2 + i**2 - 3*i**2).\nAnswer: 34984*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 11:38 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31\/2 - -16. Suppose q - 5*p = 24, 3*q + 2*q = 5*p + 40. Let t(u) = -u**2 + 4*u + 2. Let z be t(q). Which is greater: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(-32*m - 7*m + 18*m - 20*m) to the form q*m + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.129 and -50.4?\nAnswer: -6.5016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1 + -0.9. Let q be ((1 - 1)*1\/(-2))\/2. Suppose q = -5*w + 4*j - 16, -5*j + 8 = -w - 3*j. Which is the nearest to 2? (a) i (b) w (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = -4*t + 5*x - 65, 0 = -4*t + 8*x + 28 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 5. Let i be s(5). Let p = -4 + i. Let y be -8*(p - -3) - 2. Put y, 5, -3 in decreasing order.\nAnswer: y, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 6:54 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.074 less than 80.56?\nAnswer: 63.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 479 + -476. Suppose 0 = 3*k + k - 2*h - 536, -w*k + 403 = -2*h. Do 134 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = w + 13 - 3, -3*v + 3*w + 18 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2 - 18*h + 18. Let k(q) = -4*q - 2. Let s be k(4). Let l(g) be the first derivative of -g**2\/2 + g - 67. Calculate s*l(f) + z(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(10 + ((-39)\/(-42) - 5) + -6)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.14308ml to litres.\nAnswer: 0.08114308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52.5 + 8.5. Let m = l - -48. What is the second smallest value in m, -3\/5, 2, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-3)*45\/30. Suppose -2*x = -q + 13, 0*x + f*x = -2*q + 53. Let b(h) = -h**2 + h + 74. What is the remainder when b(0) is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 6:37 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -24. List the prime factors of -2 + (z - -4 - -78).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -18. Suppose 0 = 2*c - 2*i + 6*i + d, -3*c + 16 = -i. Let n = -1.9 + 0.9. What is the third biggest value in c, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 5*c**2 + 6*c - 25. Let d be n(5). Suppose d*i + 5*s = 1090, i - 221 = -0*i - 4*s. Does 35 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28227 (base 12) to base 6\nAnswer: 1105251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from cjjsjtsjqqcsqsqsjsiq.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 19879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.2 + -18.8. Let f = 0.4 - 0.3. What is the nearest to f in t, -5, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -14*v**3 + 4*v**2 + 5*v. Let i(j) = -15*j**3 + 3*j**2 + 4*j. Calculate 3*b(f) - 4*i(f).\nAnswer: 18*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20479384 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -71*c - 6. Let a(g) be the third derivative of 71*g**4\/8 + 3*g**3 - 27*g**2. Let w(y) = 4*a(y) + 11*i(y). What are the prime factors of w(2)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16015170*c*h*x**4 + 3*c*h*x**3 - 2*c*h*x**2 - 17*c*h*x - 85*c*h + 67*c*x + c - 16*x wrt x?\nAnswer: 384364080*c*h*x + 18*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*c - 5*z, 0*z - z = c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = z - o, -5*z + 158 = -2*z + 2*o. Solve -z*l = -50*l + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568675351 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {s: 2, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141951*c**5 + 50*c**2 - 927*c wrt c.\nAnswer: 8517060*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*v - 20, -2*k + 20 = -6*k - v. Let w(g) = 2*g. Let u be w(k). Let a = 6 - u. Solve -2*r = -2*c - 8, -r + 3*r - 4*c = a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 1410318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14586 divided by -7293\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -221 + 335. What are the prime factors of (-1)\/4 + j\/8?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102961360861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2 + 0 + 7*u - 10*u + u**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/13))**44*u**(1\/4)\/(u\/(u\/u**(1\/3))*u) assuming u is positive.\nAnswer: u**(887\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*v**4 + v**2 + 124.\nAnswer: 108*v**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 543343422?\nAnswer: 543343423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l - 28440 = 17*l. Let y = l - 920. Calculate the highest common divisor of 1372 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 8*q + 9*q. Sort q, 20, 2, 4 in decreasing order.\nAnswer: 20, 4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -3\/10*z**5 - 4 - 3\/8*z**4 + 0*z + 0*z**3 + 0*z**2 + 1\/2*z**6. Find g such that w(g) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u - 227*u + 1103 + 867 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, t: 1, b: 4, i: 1, v: 3}. What is prob of picking 1 m, 1 i, and 1 t?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -160, -357, -554, -751, -948, -1145?\n\"Answer: -197*z + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 84 = -4*l - 104, 0 = r + 3*l - 9. Let h = -1 + 1.5. Sort 4, -1\/7, r, h in descending order.\nAnswer: 4, h, -1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/30)\/((-1)\/(-2)). Let n = 3\/23 + 31\/115. Let i be 4\/(-6)*6\/4. Which is the nearest to i? (a) v (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3\/803 (b) -21 (c) -3 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9266.65722 rounded to the nearest ten?\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01482168267 rounded to six decimal places?\nAnswer: -0.014822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 5*i + 2*i)*(-54 - 14 - 23)*(3*i + 3*i - 4*i)*(0*i - i + 2*i).\nAnswer: -364*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 99, 296, 687, 1338, 2315, 3684?\nAnswer: 5511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*q**2 + 6*q**3 + 32*q - q**4 + 18*q**3 + 5*q**4 = 0 for q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from vnntncwwcnwncn?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 375 = d - 2*o, 4*d = 3*o + 501. What are the prime factors of d?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822447463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6438, 12907, 19404, 25929, 32482, 39063?\nAnswer: 45672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 2235096\/792 + 1\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 + 0*y**3 + 18 - 41 + 22 - 3*y**4 + 0*y**3 as s*y**2 + k*y**4 + p + w*y**3 + l*y and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*b + 10 + 40, -5*b = -2*p + 76. Let s = -14 - b. Let u be 33\/15 + 10\/(-5). Which is greater: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168788 is divided by 53307.\nAnswer: 8867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80469*x + 80469*x + 25*x**3.\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 77, 147, 217, 287, 357?\n\"Answer: 70*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/220150 and 47\/62900.\nAnswer: 440300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 - p**2 - p - 1. Let m be -3*(20\/15 + -1). Calculate g(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -6. Suppose -4*w + f + 18 = 0, w - 5*f = 13 + 1. Sort w, 5, l.\nAnswer: l, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33974, -33987, -34000?\nAnswer: -34013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192258 is divided by 37998.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.94331ng in grams?\nAnswer: 0.00000001394331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 + (3 - 1) + (61 - 33)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 132 + 374*k**2 - 731*k**2 + 351*k**2 to j*k**2 + y*k + r and give r.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(sqrt(187)*-2)\/sqrt(11).\nAnswer: 4 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4, 3*j + q - 30 = -5. Suppose 2*b - 14 = 14. Suppose -3265 = -b*y + j*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 7*k - 1945. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13408835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 1 + w - 3*w)*(2*w - 2*w + 6*w**2).\nAnswer: -12*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 20 + 10 - 17338*y.\nAnswer: -17338*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, -3, -0.3, -143, -17 in descending order.\nAnswer: -0.3, -0.5, -3, -5, -17, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-144)\/(-7) - (1 + (-50)\/35). Calculate the common denominator of d*2*(-5)\/(-170) and 94\/15.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p + 64 = 0. Suppose 5*k - p = k. What is the remainder when 2\/(-7) - 144\/(-14) is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.68029226 - -0.392\nAnswer: 1.07229226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 10*b + 9. Let l be p(4). Let n = l - 0. Is n a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13, -421, 3 in increasing order.\nAnswer: -421, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/17275 > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 89103 or 88395?\nAnswer: 89103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 15 - 15 = 0. Let a be (-32)\/p - (-24)\/36. Solve 0 = -x + a*x + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s**2 - 3*s)*(0*s + 4*s**2 + s - 2*s**2).\nAnswer: -2*s**4 - s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1119 + -1621. Let u = -502 - d. Solve u = y + 5 - 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 1115*g**2 + 65880*g - 408240.\nAnswer: 5*(g - 108)**2*(g - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 11*l**2 - 2*l - 16. Let z be c(-11). Suppose -100 + 28 = -z*w. Solve -w = -5*s - 4*b, 2*s + 6 = 3*s + 2*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9318787 plus 0.11889?\nAnswer: 9318787.11889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*-4)\/2 + (-212)\/(-1). Suppose 0*p = -5*c + 5*p + i, 34 = c - 3*p. Suppose 0 = -3*d + c - 31. What is the remainder when 5 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 2, -6, -4, -15, -0.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 430*u - 1640.\nAnswer: -5*(u + 4)*(u + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -16) + -12 + 45 + -21 + 2 + -19\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 - 87. Sort -5, -3, w.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2295*g**3 - 2*g**2 - 4*g + 4. What is the units digit of a(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39875 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 184747771 divided by -1961?\nAnswer: -94211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*s + 31950 - 4459 = 0, 5503 = i + 2*s. What is the highest common divisor of 35 and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2599 + 2601. Find g such that -4\/7*g**n - 4\/7 + 8\/7*g = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 23. Suppose l = 2*s - 278 - 8. Suppose -s = 5*j - 608. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/3)\/((-2)\/(-45)). Let c = d + -20. Suppose -36 = 2*u - 4*u. What is the smallest common multiple of c and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1173, -2354, -3539, -4728, -5921?\nAnswer: -7118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038368 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**2 + 2973*u**3 + 0*u**4 + 2*u**4 + 22*u - 2973*u**3 wrt u.\nAnswer: 24*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 5*v + 45, -99 = -5*p + 149*v - 150*v for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -2. Let j(l) = 7*l**3 - 3*l**2 + l - 1. Let v(a) = -14*a**3 + 5*a**2 - a + 2. Let o(w) = q*v(w) + 5*j(w). What is o(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 217699057?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 3:29 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/434? (a) 3\/7 (b) 1 (c) -0.3 (d) -0.01 (e) 251\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 384876?\nAnswer: 384876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 7. Solve -4*o = -2*o - 4*w, g*w - 8 = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**4\/19 + 2*f**3\/19 - 536*f**2\/19 + 258*f\/19 + 792\/19 = 0. What is f?\nAnswer: -12, -1, 3\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 j, and 2 n when four letters picked without replacement from snnjnnvnjjhnjj?\nAnswer: 75\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*f - 19*f = -4293. What is the greatest common divisor of f and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69829 divided by -16\nAnswer: 69829\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 992551, 992560, 992581, 992620, 992683, 992776?\n\"Answer: d**3 + 2*d + 992548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 3 - 3)*(2*k - 4*k - 2*k)*(2 + 0 - 17).\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*p + 8547, 2*w - 14291 = -3*w + p. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10*c**2 + 24*c + 10. Let b be q(-2). Solve 1\/3*s + 0 + 1\/6*s**4 + 2\/3*s**3 + 5\/6*s**b = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5550\/69375)\/((-1)\/775)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, o: 1, v: 7, t: 2}. Give prob of picking 2 k and 1 t.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**8\/504 + 2*b**7\/315 + b**6\/180 + 7*b**2\/2 + 7. Let j(t) be the second derivative of h(t). Factor j(a).\nAnswer: 2*a**3*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18443 - -20371. Calculate the remainder when w is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2644604 + 1?\nAnswer: 2644605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 29?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -128, -430, -1018, -1988?\nAnswer: -3436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -30?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6619 - 5711. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 8*v - 7. Suppose 0 = 3*f - 9 + 24. Let m be r(f). List the prime factors of 4\/m*-2*-15.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - y. Let n(i) = 2*i**2 - 3*i. Let k(l) = 12*a(l) - 4*n(l). Let d(q) = -5*q + q - 71*q**2 + 69*q**2 + q. What is k(d(v))?\nAnswer: 16*v**4 + 48*v**3 + 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-7*3\/6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 31908703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 11. What is the closest to h in -0.4, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 128, 152, 188, 242, 320, 428?\n\"Answer: l**3 + 17*l + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.27 - -15716924413257\nAnswer: 15716924413257.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 6.7. What is the closest to -1 in 5, i, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -302*o - 2111. Let k be d(-7). Solve 0 = 5*s - 4*w - k, -2*s = 5*w - 18 - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11d (base 14) in base 9?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -151351976 divided by 8?\nAnswer: -18918997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**4\/4 - 121443*l**3\/2 + 5100237*l**2\/4 - 4371462*l - 26229420 = 0.\nAnswer: -3, 12, 242865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-78))\/((-705)\/(-10998))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(0\/(-3) + -1). Let h(k) = k**3 - 7*k**2 - 8*k + 3. Let y be h(8). Solve -3*u - 4 = -2*v, c*u + y*v + 3 = 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjttjjj. Give prob of sequence jj.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*w**2 + 7*w - 9 + 3 + 6 wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23218613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 5 = -i - k, 3*k = 15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51707.68 years to decades.\nAnswer: 5170.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.152 in 23.22, -0.1, -4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 10*f**2 + 16*f - 37. Calculate the remainder when c(9) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*d - 28, 0*d - 5*d + 10 = 5*n. Let r(v) = -v**3 + 8*v**2 - 6*v - 1. Let u be r(7). Suppose -2 + u = n*s. Solve -a - 1 = s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/1)\/2)\/(2574\/396).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 160.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (147\/(-2646))\/((-1)\/12)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6769*c + 5221*c + 2165*c in the form a + d*c and give d.\nAnswer: 14155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 10:40 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i - 2. Let t(b) = 14*b + 6. Let y(n) = 11*q(n) + 4*t(n). Calculate y(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115056?\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3828122 to the power of 1\/2, to the nearest integer?\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.02 (b) -1 (c) -18.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + z - 9 = 3*d, 0 = -4*z + 12. Suppose -12 = -d*m - 4. Calculate the remainder when 6 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414526 is divided by 109?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.0583 - 0.0583. Which is the second biggest value? (a) y (b) -0.4 (c) 2\/3 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-396) - (-34)\/(-153).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788329018 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-39)*u)\/u)\/u**(-20))\/(u*u*u**(-41)*u**(-42)) assuming u is positive.\nAnswer: u**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48550477 is divided by 90.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 348779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - 148\/8. Let g be (4 + 2)*-3*4\/t. Let c = -3 + 5. What is the highest common factor of g and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -45, -91, -153, -231, -325, -435?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 840 and 21?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 17*o = 30*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/13)\/((-2)\/(-16)*-4). What is the closest to -1.2 in i, 1\/5, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 smaller than -161\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(825))\/(sqrt(99)*-5).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 22.5, 4, 0.4, -5 in ascending order.\nAnswer: -5, 0.4, 3\/5, 4, 22.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + 4*t - 4*t + 2*t**4 + t**2 - t**2 + t**4 + (-2*t**4 + 5*t**2 - 5*t**2)*(0 + 3 - 5).\nAnswer: 7*t**4 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*g - 238 = 7*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 68*p - 67. What is the tens digit of c(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 689 + -1 + -4 + 0. Let o = m - 33. Let w = o + -332. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + 1*(sqrt(78) + 1*sqrt(78)))\/(sqrt(216) - sqrt(216)*-1) + -3*(2 + sqrt(13))*-4 + 2)*2*-4.\nAnswer: -98*sqrt(13) - 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/3 + 12\/18. Suppose 1715 = -w*n + 6250. Suppose 158 = -a + n. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-20))\/((-21)\/(-15))*(-33)\/((-627)\/(-3325)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1623.\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14320?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -10, -1\/4, -1, -79, -0.24.\nAnswer: -79, -18, -10, -1, -1\/4, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -18892\nAnswer: 18889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x**2 - 2*x - 4. Let d = 3 + 2. Is s(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.6661, 5, -5.2?\nAnswer: -0.6661","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1003 take away -0.3?\nAnswer: -1.8003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.944678mm to kilometers.\nAnswer: 0.000002944678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (128\/(-448))\/(3\/168).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-3)\/27)\/(1\/6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194505, -388671, -582837, -777003, -971169?\nAnswer: -1165335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - 1\/(-2)*2. What is the nearest to s in -0.1, -0.3, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 153*f + 1 + 155*f)*(-1 - 2 - 5)*(3 + 2 - 2).\nAnswer: -48*f - 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 72, 144, 230, 336, 468, 632?\n\"Answer: n**3 + n**2 + 62*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6152*h + 3718 = 5983*h for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 20*p - 66. Calculate q(-5).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37069 by -19.\nAnswer: 1951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/3, 40, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -242.32 rounded to the nearest integer?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Suppose -i - 4*i - 3 = -q, 4*q + 5*i - 37 = k. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 91.5444 millimeters?\nAnswer: 91544400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1168, -4607, -10338, -18361, -28676, -41283?\nAnswer: -56182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 105*b*f**2 - 293*b*f + 214*b - 2*f**2 - 2*f - 107 wrt f.\nAnswer: 210*b*f - 293*b - 4*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 5*k - 3*k - 26, -6*k = -5*b + 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 10*n + z = 116, 0 = -3*n + 4*z + 136. Calculate the remainder when 166 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 2*r**2 + 10*r + 9. Calculate t(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -189, -0.4, 1?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 4*q - 8, 5*v + 8 = q + 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*h**2*y**5 + h**2*y**3 + 2*h**2*y**2 + 77*y**2 wrt y?\nAnswer: 1740*h**2*y**2 + 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 165, 339, 511, 681, 849?\n\"Answer: -r**2 + 177*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*4211.\nAnswer: -4211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3835301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3778143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/6)\/(1100\/(-150)). Find t, given that 4\/11*t**3 - 2\/11*t + 2\/11 - 4\/11*t**2 + l*t**4 - 2\/11*t**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177176018.\nAnswer: 2, 101, 877109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/3)\/((-8)\/48). Let l be (-2)\/(-8) - 2\/n. Is 15 a factor of (-1)\/(l - (-3)\/(-96))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hovhhohllveevlr. Give prob of sequence hllo.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -236 * 0.52.\nAnswer: -122.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7901186 or 7901203?\nAnswer: 7901203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - z = 0, -2*z = 2*l - 3*z + 3. Let j(q) = -l - 5*q + 0 + 2. Let w be j(-1). Solve 0 = -3*x + 6 + w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0 - 3 + 0 + 4 + 4 - 1 - 1 + (5 - 3 + 0)*(-2 + 2 - 2))*(-83*g - 7 + 163*g - 116*g).\nAnswer: -72*g - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6217080 divided by -12?\nAnswer: -518090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9656301 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v*v**(-2\/3))*v\/v**(-2\/3)*((v*v**(-2\/3))\/v)**(5\/9) assuming v is positive.\nAnswer: v**(26\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.439 * 0.04574\nAnswer: 0.06581986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, 5, 2\/5, 26 in increasing order.\nAnswer: 2\/5, 1, 5, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5582 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 13 = -3*v, 2*v - 76*f = -74*f + 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -1, -8, 27, 208, -3.\nAnswer: -8, -4, -3, -1, 0, 27, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 != -1238926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-236)\/(-59))\/((-42)\/3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 8*h**5 + 107682*h**4 + 12225352*h**3 + 361840264*h**2 + 759346560*h + 167412224 = 0.\nAnswer: -13346, -56, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/10)\/((-2)\/6*(-555)\/1850).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**3\/2 - 5*a**2\/2 - 3*a. Let n be r(4). Let q = 698 + -691. What is the greatest common divisor of q and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.47, 0.1 in descending order.\nAnswer: 2\/9, 0.1, -0.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0397 - -3.9603. Let g = 0.6 + -0.4. Let r = g - -0.8. What is the closest to r in -0.5, -2\/3, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 5*q**3\/3 + q**2\/2 + 2*q - 5. Let b be r(-1). Find the second derivative of 4*a**5 - 13*a + 10*a - 6 + b wrt a.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.46, -19.76 in descending order.\nAnswer: -0.46, -3, -19.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*k - 597, 2*k - 347*l = -343*l + 412. Calculate the highest common factor of 23500 and k.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -22120*p. Let d(z) = 8*z**2. Determine k(d(a)).\nAnswer: -176960*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**4\/6 + 16*l**3 - 329*l**2\/3 - 268*l - 7017. Solve r(b) = 0.\nAnswer: -1, 6, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/8)\/(7\/(-2)). Let f = 14 + -14. Which is greater: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -65*m*r**3*x - 34*m*r*x**2 - 2*r**3*x - 27*r**3 + 21*r*x**2 wrt m.\nAnswer: -65*r**3*x - 34*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2*-3*42\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 178980571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 5 + 1 + -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(495)\/sqrt(11)) - ((sqrt(245) + 2)**2 + -2 + -1).\nAnswer: -245 - 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 175199831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 390*q - 365. Let b(u) = -39*u**2 - 5067*u + 4749. Let g(o) = -4*b(o) - 51*w(o). Solve g(a) = 0.\nAnswer: -127, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -431*j + 141. What is s(2)?\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/8 + 6179*u\/8 + 30795\/2.\nAnswer: (u + 20)*(u + 6159)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3161 take away 0?\nAnswer: -1.3161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 = -3*l - 17, -4*q + 25 = -3*l. Put 5, -1, -2, q, 91 in decreasing order.\nAnswer: 91, 5, q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -147.7 + 37.3. What is c rounded to the nearest integer?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.088438 to three decimal places.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*m + 55 = 60*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - x**2)*((1 + 0 + 2)*(-4 - x + 4)*(8*x - 75 + 75) + 4*x**2 - 3*x**2 - 3*x**2).\nAnswer: 26*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 277*p = 66*p - 1017. Suppose -o + 0*o + 2*i = -16, 2*i = -8. Calculate the highest common factor of o and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5*q**4 + 322*q**3 - 155*q**3 - 7*q**4 + 0*q + 2*q to the form o*q + u*q**4 + n*q**2 + x + s*q**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.0000017 - 7. Round m to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = r - 5*r + 2*d, 0 = 3*r - 4*d - 150. Suppose 2*j = 4*j - r. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 436 + -304. Suppose 2*d - 3*y - 36 = 0, d - 51*y = -50*y + 23. Calculate the highest common factor of d and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 688 by 1.\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -39*u - 27. Let j(f) = 2*f - 28. Let i(l) = l - 10. Let b(y) = 11*i(y) - 4*j(y). Calculate 27*b(t) + 2*x(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, -94, -347, -836, -1639, -2834, -4499, -6712?\n\"Answer: -13*d**3 - d**2 - d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 1222?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50*m**3 + 5*m - 6093 wrt m?\nAnswer: -150*m**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689908394.\nAnswer: 2, 7, 41, 47, 107, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Suppose 3 = w*a - 19. Calculate the lowest common multiple of a and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 1\/66*l**5 + 0*l + 1\/660*l**6 + 12*l**2 + 1\/11*l**3 + 0 + 7\/132*l**4. Determine o, given that q(o) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25242*r - 843948 + 843948 to d + f*r and give f.\nAnswer: -25242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1100 and -1 + -6 + 82407\/11700?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l - l)*(1 + 1 - 1) - 803 - 93 + 5*l - 127 - 6*l.\nAnswer: -3*l - 1023","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, e: 1, n: 1, m: 2, f: 1}. Give prob of sequence mmn.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 - 9*a**2 - 8*a**2 to the form v + z*a**2 + f*a and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46421 is divided by 7693.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y - 2. Let d(m) = m**3 - 6*m**2 - 7*m + 2. Let c be d(7). Let i be t(c). Calculate the common denominator of 97\/28 and (-375)\/(-18) - 4\/i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2010311 - 2?\nAnswer: 2010303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - o)*(-430 + 359 - 2910 - 554) in the form y + r*o and give r.\nAnswer: 3535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-2)\/2)\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*1\/(-10))\/((-32)\/(-16)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2 - -1) + 5*(-8)\/20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 5:42 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l. Let q be (2\/(-8))\/((-24)\/(-32))*3. Let d(t) = -42*t + 5. Let z(m) = -1. Let s(w) = q*d(w) - 4*z(w). Determine s(j(x)).\nAnswer: -42*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 37*c + 17. Is p(3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76\/3 - 25. Let k(f) = 2*f - 2. Let v be k(2). Let a be 1\/(-2)*v\/(-2). Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1916336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 980*g**2 + 3*g - 6. Is i(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 810027039 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12111 = v + 4*q - 33468, 0 = -5*v - 5*q + 227970. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -930, -1\/6, -0.041?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - j + 4 = -0, -3*j = 2*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-112) - 3\/(-2))\/(2\/(-7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2534241 to the nearest integer?\nAnswer: 1592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -34015982 divided by 2616614?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6*-1*1. Let g be (0 + 0)*(-132)\/(-264). Is g > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00171039948 rounded to five decimal places?\nAnswer: 0.00171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9084*0.06.\nAnswer: 545.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 1\/12*s**4 + 2\/3*s**3 + 0*s + 0 - 2*s**2. Suppose -2 = c + 3. Calculate p(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1211, 1178, 1133, 1070, 983?\n\"Answer: -z**3 - 26*z + 1238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 + (-4 - -6) + (-12 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 12*y - 23. What is v(15)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5095598 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 98357.49ml?\nAnswer: 98.35749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2\/11*q**2 + 0 + 4\/11*q = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 0.1, 0, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 0.3, -1\/2, 3\/8, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -328381020 divided by 5310\nAnswer: -61842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -668ce?\nAnswer: 668c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -23. Let c(v) = v**2 + 2*v - 3. Let p(n) = -6*n**2 - 11*n + 16. Let g = 25 + -14. What is g*c(x) + z*p(x)?\nAnswer: -x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863 is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30259 + -30199.954. Let k = t + -61.74596. Let b = k + 2.7. Round b to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7))**(-17)*b**(-2\/9)\/(b\/(b**(-1\/5)\/b)*b))\/((b*(b**1*b)\/b)**17)**(-49) assuming b is positive.\nAnswer: b**(525242\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - u = -7*t - 66673, 88896 = -4*t + u. Let q be (-4*t\/(-10))\/(-14). Let i = 635 - q. Is 1 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891904?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 22*y**3 + 2*y**2 + 2*y + 1. Let q be f(-1). Is (-585)\/q - (-1)\/7 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61940000 to the nearest 1000000.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 18 + 7*w + 3 + 14 + 12. Let m be u(-7). Is 3*m\/9 - 420\/(-9) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 - 89 = 5*k + 3*x, 2*x + 4 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) -2\/7 (c) 0.2 (d) -13 (e) -31 (f) -1\/3 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06785 and -0.0686?\nAnswer: 0.00465451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/k**2*k*k)\/k*k*k**6)\/(k\/k**(-5\/6)*k*k*k**(2\/9))*(k**(-1\/4))**(3\/5)\/((k\/(k*k**(-3)))\/(k*k**(2\/9))) assuming k is positive.\nAnswer: k**(181\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261876 divided by -417.\nAnswer: -628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2194956?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmm when three letters picked without replacement from vvmvzvztmmvztzmbztt.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 492, 1014, 1536?\n\"Answer: 522*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48352 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2716 - -0.0716. Let r = -2 + 2. Let w = r + 4. Which is the closest to -1? (a) 0 (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 11*w**2 + 2. Let d be i(11). Let q be 6 - (-2 + 2 + d). Solve 0 = 4*z + 4*g, -7 = -q*z - 2*g + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**2*o**4 - 6*b**2*o**3 + 17*b**2 + 2*b*o**2 + 2*o**4 wrt o.\nAnswer: -144*b**2*o - 36*b**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + -3 - (-2 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15598559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -90 (base 12) to base 2\nAnswer: -1101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 5730, 0, 1063 in decreasing order.\nAnswer: 5730, 1063, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -3.7. Let j = -11 + 25\/2. What is the biggest value in s, 2\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*n - 5*y, 5*y = -0*n - 5*n - 5. Does 21 divide 86\/(-4)*n - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4. Let r = -1.8 - -0.9. Which is greater: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -67\/4 (c) -1 (d) 0.3 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = 7*u - 95. Determine m, given that 20*m**2 + u*m + 1 - 6 + 5 + 16 = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**4 + 0*j**4 + 0*j**4)*(1 + 4 - 2) + 18*j - 18*j - 452 + 661*j**4 - 659*j**4 in the form z*j**3 + c*j**2 + v*j**4 + d*j + r and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*f - 4, -4*z - 22 = -3*f - 98. Solve -21 = -2*a + 3*p, 3*a + 9*p + z = 4*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - -23?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000026319 rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**2 + 2*a - 1. Let u be 246\/(-30) + -2 - 3\/(-15). Let k be (-48)\/u + -4 + (-4)\/(-20). Calculate t(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -600 divided by 40?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170588 divided by 22.\nAnswer: 7754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 11*d + 18. What is p(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/13 in 0.2, -8, -1\/5, 4\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 60 + 89 + 82 + -242\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375, -205, 1155, 4347, 10013, 18795?\nAnswer: 31335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i. Let n(g) = -11*g. Let v(l) = 4*n(l) + 9*t(l). Let a(m) = 15*m**2. What is v(a(x))?\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1748 is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7022, 56358, 190260, 451010, 880890?\n\"Answer: 7047*y**3 + y**2 + 4*y - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let l = 5 - g. Let z = 127\/3 + -1025\/24. Which is the third biggest value? (a) z (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 2*u**2 + 2. Let o be y(2). Let d(s) = -3*s. Let j be d(-1). What is the second derivative of n**5 + o*n + j*n**5 - 5*n**5 wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 11 + 3. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Let b = -3787 + 3784.997. Let f = b + m. What is f rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + (((sqrt(7) - ((sqrt(7) - (sqrt(7)*3 - sqrt(7))) + sqrt(7) + -5)) + sqrt(7))*-6 - (sqrt(252) - (2 + sqrt(252)*-3))))**2.\nAnswer: 2448*sqrt(7) + 10228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 8 = -16*k. Solve 2 = -3*n + 4*u - 3, -k*u = -3*n + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -545704405, -545704407, -545704409, -545704411, -545704413, -545704415?\nAnswer: -545704417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2021982 is divided by 6072.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 + -4 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4669 greater than 4662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 3 = 3*j - j, 4*j = -3*b + 13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*l - 10. Let q be (-28)\/(-6)*l*6\/49. Solve q*x + 4 = 5*w - 24, 4 = w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) 0.0432 (c) -15.1 (d) 2\/11 (e) -0.4 (f) 0.6 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*n**2 + n + 3 - 36*n**2 + 0 - 59*n**2 - 54*n**2 wrt n.\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7c94 (base 16) to base 14\nAnswer: -b8a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12783.\nAnswer: 3, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.2. Let b = 22 - 23. What is the nearest to b in 5, 1\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evvvveivvviiiive. What is prob of sequence vv?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 4*w**3\/3 + 4*w**2 + 1. What is the second derivative of m(z) wrt z?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 61?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, 71, 143, 233, 335?\n\"Answer: -s**3 + 18*s**2 + s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5)\/v)\/v*v**6)**(-26) assuming v is positive.\nAnswer: v**(-572\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8576\/5 - -25733\/15. Let l = -1 + 0. Sort l, 0.4, o, -2.\nAnswer: -2, l, o, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1441 and 9301.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 604 = -4*x, 15*t - 4*x = 15*t. What is the remainder when t is divided by 82?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10093787629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 14 = 7*y + 24. Let t(j) be the second derivative of -43\/12*j**4 + 0*j**y + 0 + 0*j**2 - 13*j. Let d(c) = -c. Give d(t(a)).\nAnswer: 43*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -683*q**5 - 13*q - 85 wrt q.\nAnswer: -13660*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5\/3 - 836*x**4\/3 + 3426259*x**3\/3 + 6854804*x**2\/3 + 1428231*x + 285660 = 0.\nAnswer: -1035, -1, -1\/2, 828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2027*c - 2022*c = 30 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(1\/2)\/k))\/k)\/(k\/(k**(3\/10)\/k*k)))\/(k**(-1)*k**0) assuming k is positive.\nAnswer: k**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1476 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - q. Let n(x) = 3*x**2 + 8*x - 2. Let t(v) = -v. Let o(g) = -n(g) - 6*t(g). Let r(l) = -k(l) - o(l). Determine j, given that r(j) = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from kkmkkkm?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 926895 and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 293*n**2 - 2947*n + 172. Let r be b(10). Factor -6\/7*d**r - 5\/7*d + 1\/7*d**5 + 4\/7*d**3 + 0 + 6\/7*d**4.\nAnswer: d*(d - 1)*(d + 1)**2*(d + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195908*b + 195880*b - 448 = 0 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(3\/4)\/n)))\/n**(-3))\/(n\/(n\/(n\/(n*n\/n**(4\/3))*n))*n*n\/(n\/(n\/(n*n**(2\/15))))) assuming n is positive.\nAnswer: n**(11\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**5\/5 - w**4\/4 + 8. Factor g(y).\nAnswer: -y**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3880?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from kyyyky.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*x - 6. Suppose x*r + 3 = r. Let t = r - -7. Calculate the smallest common multiple of t and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/4 + 112497*b**2\/4 + 48235035*b\/4 + 5180297075\/4 = 0.\nAnswer: -112067, -215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z + 5, -28 = -2*t - 4*z. Let g = 16 - t. Calculate the remainder when (34\/3)\/(4\/g) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -188*z + 11. Let n(g) = -282*g + 15. What is -5*n(l) + 7*u(l)?\nAnswer: 94*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 11*o**4\/24 + 4*o**3\/3 - 1619*o**2. Let g(z) = 23*z + 17. Calculate 6*g(w) - 13*j(w).\nAnswer: -5*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32812 and 50828312?\nAnswer: 2524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*g**3\/3 - 370*g**2\/3 + 377*g\/3 - 10.\nAnswer: (g - 15)*(g - 1)*(23*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7912 divided by -2?\nAnswer: 3956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309 - 1030 + 290 + z**3 + 458.\nAnswer: z**3 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2830, 2787, 2744?\n\"Answer: -43*w + 2873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 2*a - 28. Suppose 3*w + a = 4*w. Calculate the lowest common multiple of ((-28)\/(-10))\/(2\/10) and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o + 4. Let k(n) = 5*n - o*n - 5*n. Let u(h) = -3*h - 1 + 1. Determine k(u(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 191*o**3 + 15*o + 2*o**4 + 2 - 192*o**3 - 10*o in the form d*o**2 + x*o + f*o**3 + j*o**4 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y**4 - 145*y**3 + 65*y**2 + 145*y - 50 = 0. Calculate y.\nAnswer: -10, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -2202200?\nAnswer: -2202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.30674 + 1.321. Round y to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Let g be n\/4 + 2\/(-4). Solve -3*k - 12 = -g*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 18*n + 4 - 20 = 118 + 4, -27*a = -3*n - 102 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -78, 2\/5 in descending order.\nAnswer: 2\/5, 0.02, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 755*v - 775*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3002301 (base 5) to base 14.\nAnswer: 132b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 22182391 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17 - 36 - 8*a + 28*a**2 - 12*a**3 + 19.\nAnswer: -4*a*(a - 2)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2 + 87*p + 4290 = 0 for p.\nAnswer: -26, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3502 = 523*b + 1486 + 765 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 36?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7760 by 2.\nAnswer: -3880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2030\/58 - (-10426)\/(-298).\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1601 (b) -0.2 (c) -5 (d) 1\/2 (e) 31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -223.63 * -10.\nAnswer: 2236.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.399539 - -0.205.\nAnswer: -0.194539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (2 - (-2)\/7). Let t = -0.1 + -0.7. Let x = -4.2 + t. Which is the closest to r? (a) 4 (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1333522488?\nAnswer: 2, 3, 83, 239, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(k**4 + k**4 + k**4) + (-28*k**3 + 657 - 657)*(-4*k + 4*k - 2*k).\nAnswer: 59*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/4 and 87\/14368?\nAnswer: 14368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2415 and 1190?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, 11986, 3, -3 in ascending order.\nAnswer: -7, -3, 3, 5, 11986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: d1de9 (base 15) to base 6\nAnswer: 22125020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**2 - 141*q + 13. Suppose -n = 2*n - 99. What is the remainder when x(29) is divided by n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1923714468.\nAnswer: 2, 3, 13, 787, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -57205604?\nAnswer: 57205603.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13*o**2 - 238*o - 223. Is b(-28) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20100210212 (base 3) in base 13?\nAnswer: 45017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 77. Let s = r - 16. Calculate the least common multiple of 12 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x - 15. Suppose -7*j = -x*j + 20, s = 2*j + 13. Find the third derivative of 16*c**2 - 15*c**2 - 4*c**s + 3*c**3 wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z - 26442 = 679*z - 44*z for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-12*o - 14*o - 192*o).\nAnswer: 218*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -860*x - 1054. Let h be z(-2). What is the highest common divisor of 36 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 188 + -128. Let j = 1042 + -1028. Calculate the lowest common multiple of j and y.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a century in years?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 33, -162 in decreasing order.\nAnswer: 33, -48, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136233\/5860 - -3\/1465. Calculate the common denominator of q and -50\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 > -3009\/140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -758*d + 2. Let c(o) = -753*o + 2. Determine -4*c(i) + 3*y(i).\nAnswer: 738*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**3 + 735*a**2 + 11150*a + 19320 = 0.\nAnswer: -12, -2, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -7 - (9 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 128\/88 - (-4)\/(-2) and -34\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(5\/3)))**(1\/6)\/(h*h**1\/h*h**(-14)) assuming h is positive.\nAnswer: h**(239\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163789773.\nAnswer: 3, 7, 7799513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13208, 26452, 39694, 52934, 66172, 79408, 92642?\nAnswer: 105874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*a = -173143 - 2504983. List the prime factors of a.\nAnswer: 11, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -184194, -368120, -551768, -735132, -918206?\n\"Answer: w**3 + 133*w**2 - 184332*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -44, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87694 + 87694 - 8*x + 5*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 2*k + 2*q - 7*q, -5*k + 312 = 4*q. Suppose 0 = i + 5*x - 18, x = 3*i - 4*i + 26. Find the common denominator of i\/(-6)*(-63)\/k and 59\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-208) + 86\/(-96)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -25\/4, -0.1, -0.2, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 8:47 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 40. Suppose -3*y + v*o + 2*o = -11, 5*y - 28 = -3*o. Find the third derivative of 4*n**5 + 2*n**2 - 6*n**2 + 11*n**y + 2*n**2 wrt n.\nAnswer: 900*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1219)\/4 + (-22)\/88. Let j = -152 - y. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 y when four letters picked without replacement from {a: 1, o: 8, y: 11}.\nAnswer: 308\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 31 = -7. Is t a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 9*r**2 + 205*r + 1105. What is z(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5788*f**3*z - 6*f**3 - f**2*z - 462*f*z + f - 2*z - 209 wrt f.\nAnswer: -34728*f*z - 36*f - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1498.\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -334, 16, 3, -8, 2 in ascending order.\nAnswer: -334, -8, 2, 3, 13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmffvfwvvv. What is prob of sequence wf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.476 - 21.475981268. Round l to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**2 + k - 1. Let i be d(1). Suppose i*y + 4 = 4*y - l, 2*l + 8 = 0. Suppose y = 4*g + g. Solve 0 = 4*j - g + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -35*d. Let c(o) = 5258*o - 81. Give s(c(q)).\nAnswer: -184030*q + 2835","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1799429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 100, 84, 62, 34, 0, -40?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4\/5 + 10696*i**3\/5 + 4547214*i**2\/5 - 13716544*i\/5 + 9158632\/5 = 0.\nAnswer: -4882, -469, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, -121, -538, -1133, -1912, -2881?\nAnswer: -4046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 9:17 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1043)\/(-36) + -29)\/(2\/6) - (-2223)\/(-540)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**5\/15 - i**4\/8 + i**2 - 4*i. Let b(h) be the first derivative of q(h). What is the second derivative of b(o) wrt o?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -83*z + 25 - 579 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1893, 3, -20, 2, 19 in descending order.\nAnswer: 1893, 19, 3, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 16*q + 30 + 150 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2746656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.8762 and -36?\nAnswer: 35.1238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145051\/65 + 29018\/13. Suppose 6 = -r - 4. Let j be 19\/r - (-2)\/5. Which is the third biggest value? (a) x (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 6*h + 11. Let r be s(3). Suppose -4*y + r*y = y. Factor -1 + 0*v**2 - v**2 + 2 + y*v**2.\nAnswer: -(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/2542 and 113\/6.\nAnswer: 7626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/4 of a litre in millilitres?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 236230 to the nearest one thousand.\nAnswer: 236000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 - 19*t - 7. Let w be f(-9). Suppose 518 = z + 5*a, -w*z + 755 = -4*a - 351. List the prime factors of z.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109702 + 20552266.\nAnswer: 20442564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*n - 106, -4*k + 3*n - 61 + 212 = 0. Let w = k + -20. Suppose -7*q + 47 = -16. What is the remainder when w is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 13*y. Let u(c) = 6*c. Let r(o) = 3*p(o) - 7*u(o). Let q(f) = -12*f**2 + 0*f**2 + 9*f**2. What is r(q(l))?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6811 and 178164?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44663958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77006041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from ppuppyyauv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4\/7 + 131391*u**3\/7 - 1921059099*u**2\/7 + 9418571777925*u\/7 - 613295321370534\/7.\nAnswer: -3*(u - 14577)**3*(u - 66)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 5, -5, 7408 in descending order.\nAnswer: 7408, 5, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 123, -1, 5, 4, -15, 17 in ascending order.\nAnswer: -15, -1, 4, 5, 17, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 21462, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7}. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b**5 - 5*b**4 - 6*b**3 - 8*b**2 - 8*b + 5. Let t(n) = n**5 - n**4 - n + 1. Suppose -12 = -9*p - 3*p. Let z(v) = p*u(v) - 5*t(v). Factor z(j).\nAnswer: j*(j - 3)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -2 - 2 - 0. Suppose 2*i + i = 3*x - 6, 0 = -3*i + 5*x - 4. Let r = 6 + i. Solve -3*s - 3 = -r*o - 0*o, 5*s + 2*o + 19 = l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -31. Let f = -14 + w. Solve 4*j + 3 = f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3) + (-7 - -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = h, 0 = -3*l + 3*h - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -205098 divided by 68366?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3*193958\nAnswer: 581874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 + 1597 = -w. What is w rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025013358 to 6 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116754 and 3420318?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.9 (b) -5 (c) 2\/3 (d) -4\/21 (e) 0.02 (f) -1\/430\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 728 and 754.\nAnswer: 21112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-15) + 870\/(-25). Let w = j - -38. Suppose -30 = -2*c - w*c. Solve 0*f - 2*k = c*f - 2, -f + 4*k + 18 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o - 18. Let c be (-10 - -12)*o\/(-2). What are the prime factors of ((-10)\/3)\/((-4)\/c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*(z*z**(-5\/3))\/z))\/z)\/(z\/(z*z**(-3))))\/(z*(z**1\/z)\/z)**(-2)*z**(6\/7)*z\/(z\/z**(-3))*(z\/(z*z**(2\/7)\/z))**43 assuming z is positive.\nAnswer: z**(551\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 17, s: 2}. Give prob of sequence ooso.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 35 = -3*i. Suppose 0 = -i*x + 3*x + 124. What is the remainder when 83 is divided by 0 + x - (-12)\/(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -91 + 31. Solve -5 + 0 = 5*h, 5*a = k*h + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from wgwggwg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*33\/3*1. Suppose 56 + 109 = 3*r. Calculate the greatest common divisor of x and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*n = -16, -6*n = -3*g - 4*n + 4. Sort g, 4, -5, 3 in decreasing order.\nAnswer: 4, 3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cssdccdtdddr. What is prob of picking 1 c and 1 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 331128 + 2.6316571.\nAnswer: 331130.6316571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -903301 * 7\nAnswer: -6323107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72094 + 72096. Factor -24\/13 + 8\/13*w + 2\/13*w**c.\nAnswer: 2*(w - 2)*(w + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = 3*p - p. Suppose -104 - p = -2*l. What is the derivative of l*u**3 + 26 - 70*u**3 - 75*u**3 wrt u?\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2666\/(-279))\/(-43))\/(147\/27)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140787?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(6\/7)\/(((d**(2\/41)*d)\/d)\/d) assuming d is positive.\nAnswer: d**(519\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 851 + -814. Calculate the remainder when 1033 is divided by d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360503 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - -122. Let t be 32\/n - 16410\/(-616). Let l = 183\/7 - t. Find the common denominator of 119\/10 and l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 24 = -3*j, -5*j = -0*q - q - 18. Suppose -b - j*b = -3*d - 22, b = 3*d + 10. Solve 0 = 4*x - 0*x - 4*a, -b*a - 16 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-63)*3 - 1\/28. Let s = 0.05 - -0.35. What is the smallest value in 2, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6250 (base 8) to base 11.\nAnswer: -2486","meta":{"dup_signals":{},"source":"numbers__base_conversion_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 closest to 4\/17 in 5, 4, 3, -0.2, 18.4, 16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37748474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*j - g, -5*j + g + 0*g - 35 = 0. Let i = j - -12. Suppose 194 = 3*u + i*z - 23, -280 = -4*u - 2*z. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 894096, 893199, 892302, 891405, 890508?\n\"Answer: -897*z + 894993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000619165 rounded to 6 decimal places?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(48) + 1)*-5 + 0 + (-5*sqrt(3888) - sqrt(3888)) + sqrt(48) + sqrt(48) + 0)**2.\nAnswer: 4560*sqrt(3) + 156052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 350819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/1 + 3\/(-2)*2. Suppose -5*q + 159 = -4*m, q - 33 = -4*m + z. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15268\/227 smaller than -68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - x)*(2 + 3 - 7) + x + 8*x - 3*x + (2 - 2 - 2*x)*(-1 + 2 + 1) as b + h*x and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 121317312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2\/8 + 54123*a\/4 - 108249\/8 = 0 for a.\nAnswer: -36083, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 32*p + 36 = 0. Suppose 3*l - 16 = -4*x + 2*x, 0 = -4*x + 4*l + p. Suppose -w = -0 + 1. Which is bigger: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 2*d**5\/25 + d**4\/5 + 2*d**3\/15 + 11. Factor u(k).\nAnswer: 2*k**2*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*j - 9. Are -1 and j unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z - z**3 - 5*z + (5*z - 2*z - 4*z)*(3*z**2 + 3*z**2 - 4*z**2) - 3*z**3 + 2*z**3 + 0*z**3 + 0*z**3 + z**3 - 4*z**3 + (-5 - 1 + 5)*(-1 + 1 - 2*z**3).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -33845027 + 87.1192\nAnswer: -33844939.8808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/((-725)\/(-1392)) - (22 + -100).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 0.5, -0.3, 1, 5.6 in decreasing order.\nAnswer: 5.6, 1, 0.5, -0.05, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 8453\nAnswer: 2\/8453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -45*x**2 + 1453*x - 10665. Give y(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/195 - (-2 + 28\/13). Let l = 1155 + -1157. Which is the second smallest value? (a) 0.5 (b) 0.9 (c) l (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -222\/7. Let b = 15\/67 - -133\/603. Let y = 171\/880 - -1\/176. What is the smallest value in p, y, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -2 (c) 1 (d) 52 (e) 0.5 (f) 2.6 (g) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a**2 - 507*a**2 - 221 + 488*a**2.\nAnswer: -a**2 - 221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.6.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37517 is divided by 257.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*j. Let q = 19 + -20. Put j, q, -4 in increasing order.\nAnswer: -4, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(5\/7)*z)\/z**(-11))**17 assuming z is positive.\nAnswer: z**(1751\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 73 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 5*t + 6. Let u be z(4). Find the third derivative of -i**5 + u*i**2 + 3*i**5 - i**5 wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000488243 to 7 decimal places.\nAnswer: -0.0004882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvv when three letters picked without replacement from {h: 7, j: 8, q: 2, v: 3}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-17)\/34)\/(65\/1866644*(-2)\/145) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*b**2 - 241*b**2 + 131*b**2 - 4 - 10 to l*b**2 + h*b + m and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1942 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131*f**2*o**2 - f**2*o*t - 2*f**2*o + 356*f**2*t + 4*f*o**2*t - 5*f*o**2 + t - 2 wrt o?\nAnswer: 262*f**2 + 8*f*t - 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22223 + (12 - (11 + -11)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162173.\nAnswer: 11, 23, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - k = -1, 29*a + 5*k = 24*a + 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -14*d - 7. Let n(h) = -h - 1. Let l(x) = i(x) - 3*n(x). Let m be l(-7). Let b = -51 + m. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - v**2)*(-19*v**2 - 10*v**2 + 2*v**2)*(3*v + 3*v - 5*v).\nAnswer: 27*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 95789766 and 2.5448.\nAnswer: 95789768.5448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -5, 54.8, 2\/13, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.3579549 to three dps.\nAnswer: 19.358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/77*6)\/((18\/28)\/(-3)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 14*p + 15. Let a be d(-13). Determine n so that 1\/2*n**3 - 1\/2*n**a + 0*n + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115983397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830240 is divided by 1230?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 817*i**5*j**2 + i**2*j**2 - 2*i*j - 867*j**2 wrt i?\nAnswer: 16340*i**3*j**2 + 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(65)\/(sqrt(15)\/sqrt(3)) - sqrt(130)\/(-3*sqrt(160)).\nAnswer: 1 + 13*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 0*p**2 + 0*p**2 - 3*p**2 - 6*p + 0*p**3.\nAnswer: 3*p*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 11703.\nAnswer: 11704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 1:10 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*u + 15 = 5*b, b + 3 = -3*u. Let g = b - -31. What is the remainder when g is divided by ((-69)\/12 + 3)*-4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18517 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3527, 14145, 31837, 56597, 88419, 127297?\nAnswer: 173225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 26. Let g be 4 + -2 + 1 - a\/2. Factor 51*q**2 - q**3 - 35*q**2 + 4*q**3 - 19*q**g + 4*q**4.\nAnswer: 4*q**2*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05423126 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4848435?\nAnswer: 3, 5, 163, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -3*b + 9, -2*b + 9 = 46*l - 47*l for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n - p - 11, 8 = -4*n - 4*p. List the prime factors of ((9\/2)\/n)\/(1\/(-134)).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 61*r - 10. Calculate j(-25).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glpgppggmpggmglggp. Give prob of sequence pppg.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6686.458 micrograms to nanograms.\nAnswer: 6686458","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.614 - -6.176. Let m = k + -37.4. Round m to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -q + 90 - 65, 2*q = 5*p + 50 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -127*h**2 + 23. Let d be g(7). Round d to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1222743 to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187665\/16 - 11726. What is the common denominator of l and -45\/1768?\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6 - 4*r - 1\/2*r**2 = 0. Calculate r.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2579 to the nearest ten.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.6 - -5. Let g be (3\/(-2))\/((-2)\/(-4)). Let t = -0.005 + 0.405. Which is the nearest to w? (a) t (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*m - 117 - 115, 2*m - 156 = -2*w. Calculate the remainder when m is divided by (60\/9)\/((-1)\/(-6)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 2:50 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5301706129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15 - 15)*(2 + -2 + 1). Suppose l = 4*i - 3*z - 39, -2 = z - 1. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = f + 4*f - 15, f - 5*x - 3 = 0. Suppose 6*w - f*w = 18. Suppose 3*m + w = 0, -m + 232 = -0*z + 3*z. Is z a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282298.13 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from {b: 1, m: 5, i: 1, k: 2, p: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6 = 2*z. Let m be (2\/4)\/(z\/8). Suppose -b - 3 = -4*s - m, -65 = -3*b - 5*s. What is b rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 14) to base 13\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -183, -734, -1661, -2970, -4667?\n\"Answer: -g**3 - 182*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q + 1. Let z(a) = -2*a. Suppose -15 + 5 = -5*o. Determine o*u(m) + 9*z(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 820139071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13129*v**3 + 4*v**2 - v**2 + 13171*v**3 - 4*v**2.\nAnswer: 42*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-40)\/(-700)*-28?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 145237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 238262 a multiple of 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 8) to base 15.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 1. Let c be b(6). Suppose -c*q + 96 = -q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:49 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7351.\nAnswer: 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47709726*k**4 - 4974901*k**2 + 6?\nAnswer: -1145033424*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from {m: 1, o: 1, l: 2, r: 1, a: 1, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.4 (b) 1\/70 (c) 3\/2 (d) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyxxxxixl. What is prob of sequence xxl?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/p**(-6)))\/p)\/(p\/((((p**(1\/7)*p)\/p)\/p)\/p)))**(20\/11)*(p**(-7\/5)*p**(5\/2))**(-7) assuming p is positive.\nAnswer: p**(-19729\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s. Let p(r) = 1. Let w(h) = 2*p(h) + q(h). Let t(v) = 3*v + 2. Calculate -7*t(j) + 6*w(j).\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 1\/8*v**5 - 1\/12*v**6 + 0 + 1\/84*v**7 + 4*v**2 + 5\/12*v**4 - 5\/3*v**3 + 0*v. Factor u(b).\nAnswer: 5*(b - 2)**2*(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15292261 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 x(n) = -96*n**3 + n**2 + 2*n + 1. Determine x(-1).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*h - 22, 0*f + 2 = -3*f + h. Let l be 0\/2*(-1)\/f. What is the units digit of (-9)\/(-1) + (l - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 2*d + 19. Calculate the remainder when 32 is divided by t(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -345 (base 13) to base 7.\nAnswer: -1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - q = 626, -i + 0*q + 146 = 5*q. Let m = i + -11. What is the remainder when m is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5\/3 - 5*i**4\/3 - 122*i**3\/3 + 34*i**2\/3 + 2425*i\/3 + 2275\/3 = 0.\nAnswer: -7, -5, -1, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17\/4)\/(-1) + 4. Let n = 4 + -1. Suppose 0*f = -n*f. What is the nearest to -2\/7 in f, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2312)\/(-32) + 1 + (-2)\/8. Let a(q) = 7*q**2 - o*q**2 + 1 + 68*q**2. Suppose -5 = 3*n + 4. What is a(n)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 5. Let m(f) = f**3 - 9*f**2 + 8*f. Suppose -4*y = -20 - 12. Let r be m(y). Calculate g(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2570\/20)\/(2\/56)?\nAnswer: 2, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 1496*y + 139876.\nAnswer: 4*(y - 187)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1)\/((-2)\/2 - -2). Suppose -5*l - 2*h + 208 - 49 = u, -h + 30 = l. Let t = 80 + 15. Calculate the remainder when t is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16838056 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 401*b**3\/6 + 5*b**2 + 24*b. Is r(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 0*y**2 - 4*y**2 + 7*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126634199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.42 or -258?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + (sqrt(252) - (-2*sqrt(252)*-5 - sqrt(252))) - sqrt(252)) + -2*sqrt(252)*4 + sqrt(252) + sqrt(252))\/(1*sqrt(144) - -4*sqrt(16)\/sqrt(4)).\nAnswer: -21*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5646 to 2 dps.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 18 + 7. Suppose 2*v - 255 = -3*v - 5*m, -w*m + 10 = 0. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c**2 - 3*c + 2. Let s be t(1). Let k = -26 - s. Is 37956\/k*(-12)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/(-120))\/(25388\/(-4616))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 2. Give h(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -2. Let y = a - 0. Is y at most as big as -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 3*f - 3. Let b(j) = -j**3 - 2*j**2 - 2*j - 5. What is the remainder when b(-4) is divided by n(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 1128*d - 16020.\nAnswer: -4*(d - 267)*(d - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -27.2. Let m = c - 2.7. What is the second smallest value in -0.4, m, 17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20376 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - r - 27. Let b be n(4). What is the tens digit of (41 - 211)*(-2)\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/13 + 604*t**2\/13 - 8*t\/13 - 2416\/13 = 0.\nAnswer: -302, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m. Let j(t) be the second derivative of -t**3\/6 - 29*t**2 - 316*t. Give n(j(r)).\nAnswer: 4*r + 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 8*i**2 + 7*i - 8. Calculate j(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -1\/3*n**3 + 7\/24*n**4 - n**2 + 0 + 3*n. Let t(x) = 4*x - 1. Give -5*t(o) + 3*y(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/3 - 4813*j**2\/3 + 43214*j\/3 + 105688\/3 = 0. What is j?\nAnswer: -2, 11, 4804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.22 + -13.98. Let q = m + 14. Which is the second smallest value? (a) 2\/7 (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = m + 147, j - 3*m = -4*m + 69. Round j to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 - a**2 + 4*a**2 - 3*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 0*v + 2 + 0*v**2 + 1\/3*v**3. Let s(u) = -3*u**2 + 2*u. Let k(h) = 3*d(h) - s(h). Suppose k(f) = 0. Calculate f.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from {m: 5, s: 1, x: 6, z: 1, k: 2, t: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 270*o - 519 + 10*o**3 - 503*o - 863*o - 436*o**2 + 151.\nAnswer: 2*(o - 46)*(o + 2)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*w + 2208, -382 - 482 = -2*p + 4*w. Suppose 2*n = 7*n - p. Let r = 100 - n. Calculate the highest common divisor of r and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 2*q**2 + 1. Let r(m) = 3*m**4 - 28*m**3 - 34*m**2 - 114*m + 30. Let s(b) = 30*i(b) + 2*r(b). What is w in s(w) = 0?\nAnswer: -3, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*1*1 - sqrt(24))\/(sqrt(32) + sqrt(128)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*y - 4854 = 0, -13*f - 2*y + 3240 = -11*f. What are the prime factors of f?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 47*v - 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2659264 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 237 + 196 = -q, q + 439 = 2*g. Let d = -431 - q. Solve -d + 28 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 536 + -544. Let h be (-4)\/(-6) - (q\/(-12) - 10). Solve -4*b + 11 = -r, -2*b + h = -2*r + 3*b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489908076 to the power of 1\/2, to the nearest integer?\nAnswer: 38599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(8\/3)\/2. Let l = 59 - 56. Suppose -4*k + 2*v + 2*v + 24 = 0, 0 = 2*k - 5*v - 24. Solve -l*g + k*z - b*z = -9, -2*z = 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 32 + 8 - -5\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - 0 - (-14 - 2)) + 31 + 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2, 0*y - 3*y = -l + 52. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/881 + -2651\/3524. Let i = 0.4 + -0.2. What is the second biggest value in b, i, 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27, 30, 27, 18, 3?\n\"Answer: -3*u**2 + 12*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.1264995 centuries?\nAnswer: 12.64995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -47*o**3 - 62*o**2 - 2*o - 37. Is h(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*a**2*h**2*v + 91*a**2*v - 30*a**2 - 2*a*h**2*v - 70*h**2 + 4*h*v wrt h.\nAnswer: 156*a**2*v - 4*a*v - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 + 59. Let f = -55.000101 - o. Round f to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5657.561 millilitres in litres?\nAnswer: 5.657561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 6*h - 15 = 3*h, 0 = -3*i - 2*h + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11827494 or 11827479?\nAnswer: 11827479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 23 = 2*d - 0*d, 2*d + 3*o = -29. Let i = d - -21. Suppose -24 = 5*a - 3*u, i*a - 3*u = a - 12. Is -6 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -439*j**2 - 11*j + 8. Let u be d(-8). What is u rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-10))\/(1\/5). Let a be (-2)\/(-12) - (-3838)\/228. Solve -r*h - a + 2 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/15, -83, -4, 3\/8794, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28424, 37082, 45740, 54398?\nAnswer: 63056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwsw when four letters picked without replacement from oospwwsosowks.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*q - 4883 = -2836. Suppose 0 = -m - 5, -2*w + 195 = w - 3*m. Calculate the remainder when w is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 1001201232?\nAnswer: -1001201223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*u - 3*j - 2, -u + 4*j + 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 - 102.9. Let z(d) = 3*d**2 + 2*d - 2. Let b be z(-2). Let v be (2\/(-10))\/(3\/b). Put v, t, -2\/29 in decreasing order.\nAnswer: t, -2\/29, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*l = 8275, -5*o - 54*l + 8239 = -55*l. What is the remainder when 8245 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hllv when four letters picked without replacement from lvvhlllhhl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3533939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o. Let a(m) = 2*m - 5*m + 0*m - 2 + 4. Let c be a(-2). Let l(p) = -8 + p + c + 0*p. Determine q(l(n)).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26955 and 938820?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*((r**12\/r)\/r)\/r*r**(-2\/77) assuming r is positive.\nAnswer: r**(768\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36406a (base 15) to base 11.\nAnswer: -1513023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114308428.\nAnswer: 2, 13, 389, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 22*l + 3. Let c(o) = -2*o + 16. Calculate z(c(b)).\nAnswer: -44*b + 355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*-15*(-26)\/260?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**5\/7 + 15*y**4 - 654*y**3\/7 + 66*y**2\/7 + 2529*y\/7 + 243 = 0. What is y?\nAnswer: -1, 3, 7, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Suppose -5*m + 1103 = -3*y, y = 3*m - o*y - 665. Let q = -151 + m. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8843896 times 0.038?\nAnswer: -0.0336068048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2239, 2234, 2227, 2218, 2207, 2194, 2179?\n\"Answer: -y**2 - 2*y + 2242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 160*v**3 - 31*v**2 + 139*v - 5. Let n(z) = 4*z**3 + 5*z**2 - 1. Let r(k) = -6*n(k) - t(k). Find the second derivative of r(y) wrt y.\nAnswer: -1104*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25932 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -17. Suppose 0 = 3*x - 25 - t. Solve -5*y + x = -9*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27379, -68106, -122181, -189604?\n\"Answer: -6674*n**2 - 20705*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9798 and 393369.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5608\/15093 - 2\/1677. Let b(u) be the first derivative of 7 - 2\/45*u**5 - n*u**3 + 2\/9*u**2 + 0*u + 2\/9*u**4. Factor b(p).\nAnswer: -2*p*(p - 2)*(p - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290405 is divided by 287417.\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1446 and 468745.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000664469834 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*m - 2583*m = -235*m - 44120 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*m + 70 = -2*d, -2*d = -3*m - 46. Suppose 4 = 21*b - d*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -41. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*u**2 - 12*u + 3*u + 11*u**2.\nAnswer: -3*u*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 777*c + 9. Suppose 5*t = -t - 42. Let v be z(t). Is v\/(-26) + 12\/78 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 518*g**2 + 350*g - 2. Let n(i) = -i. Give b(n(h)).\nAnswer: 518*h**2 - 350*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - h = -3*m + 4509, -5*m = 4*h - 22590. Let c = m + -2223. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 29*l - 1287 + 648 = -667 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 21*f + 0*f - 889 + 889.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c**2 + 29*c + 18. Let l(f) = -4*f**2 - 14*f - 9. Let v(r) = 7*l(r) + 3*p(r). Let a be v(-10). What is the units digit of 11\/(66\/240)*(a - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 - (-3 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 3 + 9. Suppose -4*g = 0, -3*k + y*k - 2 = -g. Let s be 6\/(-2) + (5 - k). Solve -2*t + s = 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(1331) + sqrt(1331) + sqrt(1331)))**2 + 6*(sqrt(1331) + -2) + (sqrt(1331)*1 + -5 + 4)**2 + 5.\nAnswer: -1606*sqrt(11) + 300825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) 1 (b) 5 (c) 4\/7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621703 is divided by 217?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, d: 1, i: 6, z: 1, f: 1, v: 3}. Give prob of sequence vvf.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 269*j**4 + j**2 - 436 with respect to j.\nAnswer: 1076*j**3 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**5\/20 + z**4\/12 - z**3\/6 - z**2\/2 + 64*z. Solve c(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -879*n**2 + 426*n**2 - 16 + 456*n**2 + 16.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**4 + 1940*z**3 - 13330*z**2 - 1940*z + 13335 = 0 for z.\nAnswer: -1, 1, 7, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-2*k - 2 - k + k) + (-1 + 3 + 0)*(-4*k - 2*k + 2*k).\nAnswer: -4*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 200 + 1973. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*f - 649300 = -65*f. Round f to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*x = 21, 5*x = 3*g + 2*g - 45. Suppose -11*t + 8*t + g*q + 5 = 0, -2*t = 5*q - 20. Suppose t*f - 28 = -8. Solve -p + 20 = f*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326018086?\nAnswer: 2, 107, 653, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98606889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(2\/5))**(-3\/28) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189 and 351.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6779.639 days to milliseconds.\nAnswer: 585760809600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142\/1173 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 g when three letters picked without replacement from pgvmamg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 7. Let g(k) = -k. Let r be g(-1). Let n = r - -9. What is the remainder when n is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.309 - -1.155. Let w = v - 0.547. Let m = w + -0.2847. What is m rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 7 - g**5 + 0*g**4 + 0*g**2 + 0*g + 1\/3*g**3. Find the third derivative of t(k) wrt k.\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(5\/7)*w)*w)\/w**(-7\/4)*w*w**(1\/3)*w**7 assuming w is positive.\nAnswer: w**(871\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u - 4. Let b be (-1)\/(1*(-2)\/8). Let i be (6\/b)\/(14\/(-56)). What is the units digit of d(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (81\/18)\/(2\/4). Let h = 1 + a. What is the smallest common multiple of h and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 722304020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12089538 and 162.\nAnswer: 108805842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.262 - -2.26235152. Round l to five dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-117289)\/(-212) + (-2)\/8. Suppose -2*q + w = -1398 + n, -3*q + 1255 = -4*w. Is q a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, x: 3, t: 5, y: 6, o: 1}. What is prob of picking 1 q, 2 t, and 1 y?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(1*1\/(-5)). Suppose i*w - 5*o = -5399990, -2*w - 3239996 = w - 2*o. Let u be -70*(0 + w\/(-7)). Round u to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6*u = 12. Let i = -154\/3 + 52. Which is the nearest to 1\/3? (a) i (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2)**50)**(-47) assuming r is positive.\nAnswer: r**(-4700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 1)*(0 + 21). Let o = -46935 - -46956. Calculate the highest common divisor of o and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -333\/92 + 155\/46. Which is the nearest to n? (a) 2 (b) 4\/125 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4*x + 15 = 27, -x = 2*v + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -34 in ascending order.\nAnswer: -34, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-1 - (-1 + 4 + -7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 259180 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyn when three letters picked without replacement from xxxxnxxxxnxxyxnyxnxn.\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32527, -65412, -98697, -132382, -166467?\nAnswer: -200952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233880799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 2*s + 406. Put s, 4, -3 in decreasing order.\nAnswer: s, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326044189 to the power of 1\/2, to the nearest integer?\nAnswer: 18057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114*q**6 - 5*q**2 - 8*q?\nAnswer: 13680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyimynoui. Give prob of picking 1 u and 1 i.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1039 or -1034?\nAnswer: -1039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8991.85132974 - -8977.85133. Let o = -14 - n. What is o rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06+1674\nAnswer: 1674.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*y = -0*k - 7, 0 = 5*k + y + 4. Is k greater than 1\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**2. Let c(y) = 9*y + 35. Let f(u) = -4*u - 20. Let w(l) = 3*c(l) + 5*f(l). What is w(b(h))?\nAnswer: 49*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*h**2)*(-1011*h**2 + 506*h**2 + 360*h**2 + 2 + 347*h**2).\nAnswer: 404*h**4 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10493 and -0.2.\nAnswer: 2098.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, i: 2, w: 2, f: 2}. Give prob of sequence wiff.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 0*t + 2*t)*(3*t - 2*t + 8*t)*(-4*t + 5*t - 3*t).\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1926*k**2 - 15*k - 79363 wrt k.\nAnswer: -3852*k - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 10*y - 42029*g + 42026*g, -4*y - 6 = -g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 10. Let s(u) = 11*u**4 + 2*u**3 + 80*u**2 + 13*u - 10. Let q(w) = 5*d(w) + s(w). Find the second derivative of q(i) wrt i.\nAnswer: 132*i**2 + 12*i + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.15, 3.59, 2, 1\/3?\nAnswer: 3.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/10 and -4\/193 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 178 divided by -14776\nAnswer: -89\/7388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -5*s - 23 - s**2 + 2\/3*s**3. Is 28 a factor of d(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 8. Calculate r(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 3*a + 19. Let j = 2686 - 2679. Calculate s(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -492 - -492.0282. Round g to three dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12386, -1\/6403 in descending order.\nAnswer: 12386, 5, -1\/6403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9822.148 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x + 4446. Let z(g) = -2252*g**2. Calculate q(z(n)).\nAnswer: -4504*n**2 + 4446","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8786 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*y = -18, -5*f + 14 + 13 = 4*y. Suppose n + 1922 + 4446 = -3*l, f*l + 6374 = 5*n. Does 40 divide l\/(-33) + (-8)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 697662 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -22.651*-4\nAnswer: 90.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 44*y**2 + y + 1. Let o(d) = d**3 - 19*d**2 - 1. Let z be o(19). Calculate the remainder when k(z) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153435186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/14*1)\/1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 7 + 11)*(-18*u**2 - 16*u + 16*u) + u**2 + 6*u**2 - 4*u**2.\nAnswer: 39*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-48)\/15)\/(2\/(-135)). Calculate the highest common factor of z and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 4*s + 215. Let u = s - 9. Suppose -v = -5*o - 3*v + u, -5*v - 47 = -4*o. Solve -x - 3*r - 4 = o, 3*x = -4*r - 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-5) - 3\/15. Let q(s) = -s**3 - s**2 - 7*s - 10. Let v(d) = -d**3 - d**2 - 6*d - 9. Let k(z) = -6*q(z) + 7*v(z). Determine k(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-25)\/(-3)*27\/(-195).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3445251, -6890500, -10335749, -13780998?\n\"Answer: -3445249*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/32)\/((-1)\/4). What is the least common multiple of 5 and (g - -1) + 4 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3191 = 21*w + 1681. Let o = w - -275. What is the remainder when o is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4823?\nAnswer: 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -30 + (59 - 28). Suppose 3*i = i + 3*u - 5, 4*i + u = 25. Put v, 1, i, 25 in ascending order.\nAnswer: v, 1, i, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(-6*s + 337 - 337)*(0 - 5 - 9) to d*s + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 2, j: 2, t: 1}. Give prob of picking 1 t and 1 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-6)*(-3)\/15. Let l = 1.027 - 0.027. Which is the nearest to l? (a) -0.5 (b) n (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-6 - -6) + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 51*d + 52. Let i be q(-25). Let f be (-9)\/i*(0 - -5). Which is the closest to -4? (a) -2\/11 (b) f (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 51, -4 in descending order.\nAnswer: 51, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*y**3 - 7*y - 607.\nAnswer: -99*y**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*g = 7*g - 1256 - 3852 - 75 for g.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3800?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/6))**(2\/39) assuming q is positive.\nAnswer: q**(-5\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 10) to base 8\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11544 - 1939445\/168. Find the common denominator of w and ((-241)\/112 - (-4)\/(-14))\/((-81)\/(-396)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -14*f**3 + f**2 + 2*f + 2. Let r(a) = -69*a**3 + 5*a**2 + 10*a + 11. What is -11*h(j) + 2*r(j)?\nAnswer: 16*j**3 - j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 - 5*m**2 - 52*m**2 - 51*m**2.\nAnswer: -114*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 6429467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-10) + 118\/195. Let n = d - 2161\/78. What is the common denominator of 243\/(-270)*1\/(-3)*23 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -169, -210, -195, -106, 75, 366?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 - 43 = -4*o + 5*g, 5*g - 20 = -6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10 - 1 = 0. Suppose -6*o - t = -21. Suppose -x = o*u - 4, -3*x + u = -x - 3. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 93 = x, -5*x - 5*t + 122 = -323. Calculate the greatest common factor of x and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:05 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 280*z**3 - 98 wrt z.\nAnswer: 840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 9:17 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11311136 (base 8) to base 14.\nAnswer: 4814aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 17. Suppose -3*o + 95 + 103 = z. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(3 + 2*u - 3) + 0*u + 6*u - 3 + 5.\nAnswer: 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/55*(228 + -153) - 11.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3054933144 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*o + 42 - 122, 240 = 3*y + 4*o. Calculate the highest common divisor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35982 is divided by 17986?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -579895510, -579895509, -579895508, -579895507?\n\"Answer: x - 579895511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 12. Suppose -3*s + 0 + 9 = 0. Solve -s*w + 4*w + v = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*b + 112*b + 17*b**3 - 13*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + t + 21, -3*u + 1 = -2*u + 3*t. Suppose 0 = v - 2*v. Find the third derivative of -5*a**4 - 5*a**2 + v*a**2 + 4*a**u + a**2 wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/5)\/((-6)\/135*-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/43 + -80\/129. Let v = -6248 - -6246. Which is the nearest to o? (a) -0.3 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2170 is divided by 268?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -735612 + -4.\nAnswer: -735616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/(-561)*45\/(-180))\/((-4)\/(-22)))\/23.\nAnswer: 2\/391","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2364 - -2375. Calculate the least common multiple of m and 1225.\nAnswer: 13475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(2 + -3)\/1. Differentiate c**3 - x*c**3 + 6 + 4*c**3 - c**3 wrt c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 0 - 1 - -23. Let i be (f\/15 + -3)\/(5\/(-25)). Solve 5*d + i = -4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - p**2 + 0*p**2. Let g(l) be the second derivative of -l**3\/6 - 17*l**2 + 4034*l. Calculate i(g(j)).\nAnswer: -2*j**2 - 136*j - 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -9 (b) 0.085362 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3378*d**3 - 3393*d**2 + 15*d.\nAnswer: 3*d*(d - 1)*(1126*d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - q + q)*(0*q + 0*q + 2*q)*(7*q + 2 - 2)*(4*q + 2 - 2) + 6*q**4 - q**4 - q**4 to c*q**2 + k*q**3 + y + r*q + f*q**4 and give f.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25816315?\nAnswer: 5, 7, 229, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 = 0, -s - 1 = -2*s - v. Solve 3*z - 16 = -4*g - s, 0 = 5*z - 5*g + 35 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130482.\nAnswer: 2, 3, 11, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u + 117 - 118 - 4*u**2 - 6*u. Give d(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l**3 - 10*l**2 + 40*l - 156. What is the smallest common multiple of v(6) and 66?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t + 67. What is b(-9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10462 + -10482. Put -9, -1, 4, 0, n in decreasing order.\nAnswer: 4, 0, -1, -9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = g - 2. Let x be g\/(-6)*15078\/(-70). Let u = 8\/5 - x. Calculate the common denominator of u and -83\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, -5, 21187 in ascending order.\nAnswer: -12, -5, 0, 21187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 16 = 4*s, -8 = 3*s - 5*s - t. Solve -s*v - 7 = 5*y, 2 = v - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/672 and 73\/4536?\nAnswer: 18144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 7. Let j(d) = 3*d - 8. Give -6*c(f) + 5*j(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19372)\/12859 + 20\/55)\/(52\/28)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.31 less than 2505668251?\nAnswer: 2505668213.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, 619, 1394, 2479, 3874, 5579?\nAnswer: 7594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -124*g - 3867. Calculate h(-32).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**6\/120 - x**5\/15 + x**4\/8 + x**2. Let m = -151583 - -151586. Calculate s(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 97*x**3 + 5*x**2 + x - 12. Let d be u(3). Suppose 0 = -10*i - 5*i + d. Does 39 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 10 - (1 + -1) - (-63 - (-171 - -55))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7516 - -7521. Solve v*t = 3*n + 11, -5*n - 11*t = -9*t - 23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 2*q**2 - 2*q**2)*(-1 + 1 - 2)*(-q + 5*q - 2*q)*(0*q - 8*q**2 + 0*q).\nAnswer: 64*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 36 = -23*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, -17, -0.4, -1\/38?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/8 + -1)\/((-4)\/(-5608)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 4*r + 4*i - 14 - 8 = 0, 18 = -12*r + 2*i - 70 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888028 is divided by 489.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-8) + 170\/(-4). Let g be (-29)\/(-116) - (-235)\/h. Which is bigger: -5 or g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003851688 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, -3.2, 225, -0.2, -1\/8 in descending order.\nAnswer: 225, 1\/11, -1\/8, -0.2, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1729018736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180337217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9267*n**2 - 6066*n**2 + 5455*n**2.\nAnswer: -9878*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165.38mm to kilometers.\nAnswer: 0.00016538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0 - 1. What is the common denominator of 5\/((-300)\/(-1130)) - (-3 - -8) and 146\/(-6) + k + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/35 - 0\/(0 - -1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2. Let r(a) = 0 - 2 + 2 + 38*a. Calculate j(r(f)).\nAnswer: 1444*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 18 = -4*d. Suppose 3*u + 5*n = 11 - 0, -d*n = 4*u - 11. Solve -23 = -y - 5*l, -l - u*l = 4*y - 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2913785, 5827541, 8741269, 11654975, 14568665?\n\"Answer: s**3 - 20*s**2 + 2913809*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2836400 or -2836398?\nAnswer: -2836398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0545 * -1.4.\nAnswer: -0.0763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -273081 + -bf?\nAnswer: -273140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 34 = -4. Suppose -q*m + 24 = -7*m. Solve m*d = d + f + 3, 5*f = -3*d + 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(8\/5)*g)*g*g**(6\/7))**23 assuming g is positive.\nAnswer: g**(207\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1136, -1040, -946, -854, -764?\n\"Answer: -t**2 + 99*t - 1234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 28*d = 27*d + 4, 3 = t + 2*d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 221, 222, 223?\n\"Answer: g + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49271399945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h = 112. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-45)\/12)\/((-2)\/(-8)). Which is smaller: l or -14?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/57 (b) 2\/29 (c) 96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 19*s + 51. Let n be g(24). Let c = -180 + n. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25483 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-84)\/7)\/(-1140))\/((-2)\/(-20))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(2 - -1) - -3. Suppose 3*k + 3*q - i = 0, -k + 2*q + 14 = 7*q. Sort -4, k, 2.\nAnswer: -4, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 12\/(-1) - -5 - -2142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8334 divided by -18\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**3 - 5*s**2 + 4*s. Give q(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 267902 to the power of 1\/2, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-16) + (-7)\/(-2). Let j(k) = -5*k + 0*k**3 - 3*k**2 + 5 + 4*k + k**3. What is the remainder when 66 is divided by j(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffsffsfffsffffsff. Give prob of picking 1 s and 3 f.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-4 - -26 - (-79 - -102)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 + -69. Suppose 85 = -t*n + 5*n. List the prime factors of n.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136\/102*((-3)\/(-8))\/(10\/(-280))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 641185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -3. Let o = i - 2. Suppose -4*q + 85 = 3*y - 141, -171 = -3*q - o*y. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1077)\/12 + 4 + (0 - 0). Let x = j - -63. Calculate the common denominator of x and 37\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3 - -1) + 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 1 + 24. Let m(n) = 0 - 2 + 2*n**2 - 1 - o*n. Let d(r) = r**2 - 4*r + 4. Let w be d(4). Determine m(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/(12\/4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Suppose -14 = -9*w + k*w. Suppose -3*v + 134 = a, 0*v - v + w*a = -47. Find the common denominator of -10\/11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76454\/77 - 2\/(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -11) + (2 - (-6 - 12)) + -7.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o - 21. Let m(n) = 603*n. Give c(m(u)).\nAnswer: -1206*u - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -17 + 5. Let j be 32 + (1 + u)*2. Suppose 5*d - 15 = -2*s, 0 = 3*s + 2*d + 2 - j. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 172\/36 + 2\/9. Suppose -1 = -w + 4*x + 5, -2*w - q*x - 14 = 0. Let y be (0 - -2) + w + 3. Which is the closest to 0.1? (a) -1 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74432 is divided by 412?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, k: 5, m: 3}. Give prob of picking 1 k and 1 m.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.68 + 798.214011.\nAnswer: 797.534011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 1213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19622834, 19622836, 19622838, 19622840, 19622842, 19622844?\nAnswer: 19622846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17050819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -245*m. Let g(r) = -108*r**2. Determine g(y(w)).\nAnswer: -6482700*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 4 = -9*p + 17, 2*t + 3*p + 24 = 6*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*t + 5 + 49, 0 = -3*t + 3*p + 69. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 20*r**2 - 3. Let k be y(-20). Suppose 15 = -2*o - 3*o. Let t be 3 + (k - o)\/(-1). Solve t*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*h**4 + 9*h**4 + 4849645 + 13*h**3 - 4849644 as t*h + m*h**3 + w*h**2 + a*h**4 + i and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-26 - -8) - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqyqfffqqf. Give prob of picking 1 d, 2 q, and 1 f.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1311163 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 4:24 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -86097.175 rounded to the nearest 100?\nAnswer: -86100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37665 (base 9) in base 13?\nAnswer: b6b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2665 + 0.0709. Let h = c - 0.0044. What is the nearest to h in 0.3, 1, -4, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 7:02 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 32*f**2 + 2*f + 23. Let o(g) = -30*g**2 - 2*g - 19. Determine -3*k(z) - 4*o(z).\nAnswer: 24*z**2 + 2*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -34 - 2\/25*a**5 + 22\/5*a + 32\/5*a**2 + 4\/5*a**4 + 4*a**3. Find y, given that t(y) = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 214 + 182. Let v be k*-4*4\/8. What is the common denominator of 1067\/v*1*3 and 48\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -3\/199?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -455?\nAnswer: -44a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -3, 0.6, 568.5, 1\/7 in decreasing order.\nAnswer: 568.5, 0.6, 2\/11, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2\/41 (b) -1\/10 (c) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) - (4 + -2*sqrt(405)).\nAnswer: -4 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2387, -4769, -7151, -9533, -11915, -14297?\n\"Answer: -2382*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = 2*y - 283. Calculate the greatest common divisor of 81 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800))**2*-4.\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) -0.22 (c) 0.5 (d) 4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (91\/(-21))\/((-3)\/9). Is 14 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(99)*-4)\/(sqrt(9)*-2*-5) + (sqrt(1584) - -1*(sqrt(1584) + 0) - (2 + -1*sqrt(99))))**2.\nAnswer: -532*sqrt(11)\/5 + 194679\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 166815238 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5871400 and 0.2.\nAnswer: 1174280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 55 + -25 + 7 + 5 + -12\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*h - 3978 = 2741 + 4243 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 2)*(6 - 1 - 1)*(-3 + 3 + 5)*(n + 3*n - 10*n) as f + x*n and give x.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5233, 17284, 37369, 65488, 101641, 145828, 198049?\nAnswer: 258304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*b*w - 9*b*y**2 - 393*b*y + 2*b + 2*w*y**2 + 11*w + 187*y with respect to b.\nAnswer: -26*w - 9*y**2 - 393*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 58, 87, 140, 217, 318?\n\"Answer: 12*d**2 - 7*d + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -10*j**2 - 175*j - 34. Let o(r) = 2*r**2 + 35*r + 7. Let u(g) = -11*o(g) - 2*w(g). List the prime factors of u(-14).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d - 427 = -5*d - 33*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 2. Let t = -1.053 + o. Let m = t - 3.647. Round m to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 7*y - 55 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c**3 - 727*c**2 + 624*c + 544. Give w(90).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-5))\/((-21)\/(-35)). Let m = 9017 + -126187\/14. What is the common denominator of m and (h\/2)\/(256\/244 - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9238090.\nAnswer: 2, 5, 923809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1032?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -265*c - 15 + 3*c**2 + 99*c**3 + 266*c + 17 + 5*c**4 in the form j*c**3 + y + h*c**4 + s*c + n*c**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55072273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -36. Suppose 0*q = 5*c + 5*q - 25, -3*c + 3*q = -l. Let s(n) = 10*n**2 - 33*n + 7. Is s(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0038671 to four decimal places.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) 2\/3 (b) -3 (c) 7 (d) 1\/9 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025 times -6.1?\nAnswer: 0.1525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**2*q + 69439195*k*s - q*s - 2*q + 12*s + 46747 wrt k.\nAnswer: -4*k*q + 69439195*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q + 17*q - 46*q + 12*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:43 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**3\/6 - x**2\/2 + 6*x. Let f be t(-5). Let g be 3\/(-44) - (-13)\/52. Which is the third biggest value? (a) f (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93*w**2 + 57*w**2 - 31*w**2 + w**2 - w + w + (-2*w + 0*w + 0*w)*(1 - w - 1) + 2 - 2 + 3*w**2.\nAnswer: 125*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/15, 8, 2\/11, 0.29?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6611.112913 + 6619.613. Let u = -8.4 - 0.1. Let f = r + u. What is f rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 0*x**3 + 0*x**4 + 0*x**5 + 0*x - 3*x**2 + 10 - 13\/6*x**6. Find the second derivative of g(j) wrt j.\nAnswer: -260*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 + -1.05. Let g = 0.1 + 0.9. Let z = g - u. Which is the closest to -2\/5? (a) 1 (b) 3\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.1 (c) 6\/161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 29. Suppose -4*o + 26 - 9 = z, 3*o = -4*z + r. Suppose o*q = 4*m - 32, -4*m + 0*m + 5*q = -31. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1457829 and 270.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*k**2 - 11*k**2 + 69*k**2.\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 3*s - 2. Let t be x(4). Suppose -5*o + t*j - j = -408, -159 = -2*o - j. What is the remainder when o is divided by (5 + 6 + -12)*-28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -556 + 206?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174 and 3422?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -0.28, 3\/2, -1\/2, -9 in descending order.\nAnswer: 4, 3\/2, -0.28, -1\/2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 1:21 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-1947) - 52440\/(-1416)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - 16. Let b be q(-6). Let l be (-16)\/b - 744\/99. Which is greater: l or -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10230007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9954, -19898, -29832, -39750, -49646?\nAnswer: -59514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -1\/2, 82815?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 16*m - 14*m. Suppose m = 13*y - 7*y. Solve d = -0*d + y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27356?\nAnswer: 2, 7, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-5 - 12\/(-3)). Let l = z - -6. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2508 - 1619. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p + 3. Suppose 0 = 2*i + 2*s + 18, 2*i - s = -0 - 3. Let j be k(i). Let a = j - 11. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 4850544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0*t*t\/((t**(-2\/5)*t)\/t)*t*(t**0)**23 assuming t is positive.\nAnswer: t**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1 + l - l + l + 9*l**2. Let n(i) = i**2 - 3*i - 6. What is the smallest common multiple of n(5) and v(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-12)\/(-4)) - -39. Determine l so that -5*l**2 + 29 - k - 3*l - 12*l = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 10:29 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 14*r + 1. Give z(-16).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-23)\/((-920)\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*k)*(0 - 2 + 0)*(0 - 4 + 2)*(-5 - 1 - 4).\nAnswer: -80*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t - 10. Let x = -16 - -9. Let u be w(x). Let c(f) be the third derivative of f**5\/60 - f**4\/12 - f**3\/6 + f**2. Give c(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 7:33 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 divided by -6?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -10. What is the second derivative of -36*c**w + 40*c**2 - 5*c + 2*c wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 322343, 2.5?\nAnswer: 322343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 12:31 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39724889 + 39746168 = -173*l for l.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 o, and 2 k when four letters picked without replacement from bkkok?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0554 - -51.7446. Let z = d - 52. Which is the nearest to -0.1? (a) -1\/6 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6 + 2.1. Let y = -71\/3 - -24. Which is the nearest to 0.1? (a) i (b) y (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -73 + 72337?\nAnswer: 72274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 9*g - 5*g + 85843 = 0, -3*s = g - 51499. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 215973302 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 20982*q + 35690374. Calculate z(-1701).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/((-24)\/(-720)*-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - q**2 + 4*q + 2. Let v = 0 + 6. Suppose -10*j + 36 = -v*j. Calculate the lowest common multiple of u(-3) and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/29))**(3\/17)*n\/n**(-21)*n*n\/n**(2\/7)*n*n assuming n is positive.\nAnswer: n**(88782\/3451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aikeakvkekiaca.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 256 divided by 64\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46.82 - 0.82. Let g = -45.8 + u. What is the closest to g in 4\/7, 0.4, 3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/20*-2*4\/8.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q**3 + 16*q**2 - 10*q - 46. What is the remainder when 897 is divided by a(2)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y + 210. Suppose 5*x - n = 3, -n + 4 = -2*x + 2*n. Let k be x\/(-2)*(-3 - 53). Calculate the highest common divisor of y and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 - 78. Is 20 a factor of -179*d\/20*-8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**0)\/((d\/d**(-4\/5))\/d))**49\/(d**7\/(d**(-2\/13)\/d))**(-8) assuming d is positive.\nAnswer: d**(4877\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5620927ug to nanograms.\nAnswer: 562.0927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**49*(y\/y**0)**(7\/5) assuming y is positive.\nAnswer: y**(-238\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 4:42 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2865 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 109800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71042664 divided by 1920072?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 117305055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 at most as big as 410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/748 - (-131)\/(-2)*(-2)\/102.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69575 by 5.\nAnswer: -13915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.2 + 57.8. Let r = -64.9 + n. Let p = r + -3.3. What is the closest to p in 4\/9, -2\/15, 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n - 131 - 69 = -44. Sort n, 24, -3, -5, 5 in descending order.\nAnswer: 24, 5, n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79766000 rounded to the nearest 100000?\nAnswer: 79800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 60 = -0*d + 3*d, 0 = -3*d - 6. Let g be (4 + -2 + 7)\/(m\/1053). Calculate the greatest common divisor of g and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -429, -425, -419, -411?\n\"Answer: j**2 + j - 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.088 in 5, 43, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 119 = 33. What are the prime factors of x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + d + 7. What is the least common multiple of h(0) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -2)\/(4\/(-12)) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*k - 100*k - 103*k - 100*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 660 and 9372?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**2 - 3. Suppose 4*c - a + 1 - 12 = 0, -5*c + a = -14. Let b(u) = -c + u**2 + 2 - 2*u**2. Let l(f) = -4*b(f) + i(f). Factor l(p).\nAnswer: -(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 141*p**2 - 26*p + 52. What are the prime factors of w(16)?\nAnswer: 2, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - z + 1. Let v(r) = -3*r**3 + 5*r**2 + 6*r - 6. What is 6*q(t) + v(t)?\nAnswer: -9*t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 + 2*p**2 + 4*p**2 + p**2 - 6*p**2 + 3*p**2 + (0*p - 6*p + 3*p)*(-4*p - p + 2*p) in the form s + x*p + f*p**2 and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -49. Suppose -113 = 5*l - y*l - 2*p, 8 = -2*p. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + (sqrt(1300)*-5 + sqrt(1300))*2 + sqrt(1300))*-3 + -5 + (sqrt(1300) - (1 + sqrt(1300)))*-2)**2.\nAnswer: -1080*sqrt(13) + 421209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2 - 9 - t - t. Let l be x(-5). Suppose -c = -l*c + 14. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*b + 5. Suppose -2*r + b*s + 8 = 0, -3*s - s = 5*r + 7. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154.9 - 42.4. Let d = o + -113. Sort 3\/5, d, -4\/3.\nAnswer: -4\/3, d, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.151 + -26.151. Sort -41, b, -4 in decreasing order.\nAnswer: -4, b, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in -2\/11, -244\/629, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-7)\/((-84)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 58 = 28 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 5*p = 34 + 7, 95*q + p - 7 = 92*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2959751236 to the nearest integer?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.2 (b) 0.07 (c) 0 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 5*x**3 + 19*x - 44*x + 25*x.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.20181 + 0.201850104. Round u to 7 decimal places.\nAnswer: 0.0000401","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1648212518 is divided by 3460?\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2584 - 2580.937. Let r = 0.1795 - 0.1165. Let n = p - r. What is the closest to -3\/2 in 4, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 22380064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 104*p - 2560. What is q(-64)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26440 is divided by 118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1656 - -1659. Determine a, given that 0 - 2*a**2 + 2\/3*a**y + 4\/3*a = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11279726391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 40*f - 87624 = 0. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 908141.4 microseconds?\nAnswer: 0.01513569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 181 - 80 = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 183 = 3*i, k - 73 = -k + i. Let j be (-4)\/16 - ((-34)\/8 - -1). Let m = 7 + j. What is the remainder when k is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 441 and 144.\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 6 = 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -36, -1\/5, 2\/7, 0 in decreasing order.\nAnswer: 2\/7, 0, -1\/5, -36, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c + 15, -z + c = -5. Solve 0 = 4*k + 10 - z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + -1 + sqrt(720) + sqrt(720) + -1) + 2 + (2*(2 + sqrt(720)) - (-3 + sqrt(720)*-1 + sqrt(720))))**2.\nAnswer: 144*sqrt(5) + 25921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**6*j*t + 291*h**4*j*t**3 + 42*h**2*j*t**3 + 7*h*j*t**3 + j*t**3 wrt h.\nAnswer: -720*h**3*j*t + 6984*h*j*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977\/6 + (-4)\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 1, x: 2, a: 1, d: 2, e: 1}. Give prob of sequence aeb.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5*-336\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 13 - 4 - 251*j**2 - 132*j**2 + 150*j**2 + 10.\nAnswer: -233*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 490 and 3577?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 4*z**2 - 953*z - 125. What is t(29)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-30)*404)\/(2\/(-40)). What is the common denominator of -127\/36 and (s\/60)\/(8\/5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -28 + 0 + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*t**3 + 60628*t - 755*t**3 - 60627*t.\nAnswer: -1133*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19558783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 17*b - 7. Let r(h) = -1 + 2 - 9*h + 3 + 0. Let p(c) = -6*g(c) - 11*r(c). Differentiate p(s) wrt s.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -11*v**2 - 157*v + 113. Let p be c(-15). Let w(g) = -g**3 - 6*g**2 + 3*g - 11. Determine w(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -294138*l**2 + 0 + 20 + 294050*l**2 as p*l + m + s*l**2 and give s.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.9785nm to micrometers.\nAnswer: 0.0329785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1595 = -265*f - 80*f - 2200 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1275 + 29*b**2 - 16*b**2 + 1277 - 12*b**2.\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 21 = 3*x, -3*t = -2*x - 6*t + 9. Suppose -78 = -x*v + 9*v. Let g = v - -48. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4*v = 7, 3*a = 4*a - 4*v + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 588403?\nAnswer: -588388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by (-6)\/10 + 86\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -64, -88, -106, -118, -124, -124?\n\"Answer: 3*c**2 - 39*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 609 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/9 - 540632*d\/9 - 36535369928\/9.\nAnswer: -2*(d + 135158)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338337?\nAnswer: 3, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 41418174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - c = 4*r - 14, 0 = c - r - 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 1) + 3 - (2 + (0 - 20)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16837 is divided by 45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2070*s + 32800. Determine n(-15).\nAnswer: 1750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 15. Let u be (0 - -1)\/(1\/5). Let y be (-3 + 86\/30)*u. What is the biggest value in y, -1, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 49 + 75 = 4*f, -3*f = -2*y - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 72346*j + 72357*j - 34.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 11) to base 6.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*n - 44*n**2 - 17*n - 5*n - 51*n**4 + 38*n**2 + 4 as q*n + h + z*n**2 + s*n**3 + c*n**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -13.9707666.\nAnswer: -13.6707666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -4\/7 (c) -42 (d) 21\/2 (e) -0.3 (f) 2\/7 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(77) + -1*sqrt(77) - sqrt(77) - sqrt(77))*5 + 6*sqrt(77)*-1)*-2)\/((1*sqrt(132)*-1 - sqrt(132))\/sqrt(3)))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 261*v**3 + 41*v**2 - 26419*v wrt v?\nAnswer: 1566*v + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2798 = -4*u - 46. Suppose -2*l - v + u = 0, l - 11*v = -12*v + 345. Are l and 344 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373296 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.136628 meters?\nAnswer: 5136628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - d**2 - 3 + 0 + 1. Let s(a) = -5*a**2 + 9*a - 11. Let n(j) = -2*s(j) + 11*w(j). What is the second derivative of n(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*w + 7*w**2 + 18*w + 14*w + 19*w + 1 - 20*w**2 - 6*w**3 to the form p*w + q*w**2 + f + m*w**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 2:53 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 382493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.92 - 1.42. Sort -2\/11, -0.4, -0.1, d in descending order.\nAnswer: d, -0.1, -2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176\/(-154)*21\/(-6) - (-22 - 3).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/2 - 6500\/(-375))\/(1\/6).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191990731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 38 = 4*q, 6*n - 4*q = 5*n + 27. What is the derivative of -n*w - 28*w**2 + 129 - 146 + 11*w wrt w?\nAnswer: -56*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 422?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 6*o**2 - 5*o - 4. Give r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1220.01 - -1229. Let c = -9 + b. Let m = c - -0.01. What is the closest to m in 2, 1\/2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(225))**2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 47*r. Let o(y) be the second derivative of 4*y**3\/3 - y - 687. What is x(o(v))?\nAnswer: 376*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*o - 5*g, 3*o - 4*g - 24 = -g. Suppose -10 = 5*b - 3*b - 5*a, 3*b = -5*a + o. Let l = -4 + 7. Solve l*w + 0 + 6 = b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -954\nAnswer: -953.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/63 and 3772\/(-1804)*(3\/(-49))\/(-3)?\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -619022 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 24426 = -3*p, -4*y + p + 79355 - 30503 = 0. What are the prime factors of y?\nAnswer: 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - g + 1566 - 1556, -6*t - 16 = -2*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 4. Let f be r(-7). Let n(p) = -4 + 4 - f + 4*p + 21. What is the tens digit of n(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*b + 2, -s - 2*b - 2 = -4*s. Suppose -s*q = 3*w - 9 - 23, -4*w + 3*q + 71 = 0. Suppose 5*m = -w + 29. Solve 23 = 5*z + m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - -110121220001?\nAnswer: 110121220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h**2 - 18*h + 5. Let n(x) = -x**2 + 8*x - 1. Determine 2*n(s) + p(s).\nAnswer: 6*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p - 33. Let o be i(7). Suppose o*w - 25*w = -8. What is the remainder when 15 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1133, 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 + 8*x**2 + 5*x - 1. Let i be c(-5). Let w = i + -259. List the prime factors of w.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 539 and 25333000?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 13 = n + 1, 0 = 4*n. What is the remainder when 38 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 158?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 45\/656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30552 = 285*b + 988*b for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29310\/23 - 1274. Let n = 205\/138 + l. Find the common denominator of (378\/(-8))\/(105\/14) and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69401771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 - 85. Solve -h + x + 1 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 5*f + 2*x = -f + 23, 8*x + 8 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 23\/6974046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 25 + 7 = 0. Let p(j) = j - 4. Let u be p(x). Suppose -5*n = u*k - 5, 2*k + 2 - 4 = n. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a**2*i**4 + 455*a**2*i**3 - a**2*i**2 + 16*a**2*i + 2*a**2 - 18*i**4 + 2306*i**2 wrt i.\nAnswer: -96*a**2*i + 2730*a**2 - 432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 - 17*j**2 - 206*j + 242. Let z(m) = m**3 + 5*m**2 + m. Let n(d) = -p(d) + 3*z(d). Factor n(a).\nAnswer: (a - 1)*(a + 11)*(a + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*f - 101 + 240 = -188. Let 8\/7*m**2 - 20\/7*m + 4\/7*m**f - 24\/7 = 0. What is m?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 248 - 154. Suppose j = 3*j - c. Let m = j - 27. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sullulssssuulll. What is prob of sequence lu?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b + 20?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {e: 1, a: 1, r: 1, x: 2, q: 2, u: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 621640233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*t - 13*t**4 - 2*t**2 - 13*t + (0*t**3 - 3*t**3 + 5*t**3)*(0*t + 2*t + 0*t) + t**4 - 2*t**2 + 2*t**2.\nAnswer: -8*t**4 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*k + 2309 + 1266, -5*b - 715 = -k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 5:46 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 12\/(-14) - (-6804)\/294.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 10*k**2 - 8*k + 21. Let d(l) = l**3 + 10*l**2 + 8*l - 23. Let w(p) = 4*d(p) + 5*s(p). Let h be w(-9). Solve 0*y - h*y = -16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-635)\/254)\/((-10)\/(-12))*(-498)\/(-18).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -666000 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i - i + i)*(4 - 5 + 0) - 1 + 1 - 2*i + (-2*i - i + i)*(0 + 1 + 0) + (3*i - 6*i - i)*(-19 + 52 + 22) - 4*i + 1 + 4*i - i)*(3 + i - 3).\nAnswer: -224*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000034334 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:41 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 5. Let u be t(5). Let n = 15 - u. Let k = 20 + n. Solve -q = -6*q - k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.962 + -0.038. Which is the nearest to g? (a) -0.3 (b) 2\/11 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) - (3 + (sqrt(304) + (sqrt(304) + (sqrt(304) + 2 - sqrt(304)) - sqrt(304)))**2 - sqrt(304)).\nAnswer: -311 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -4.2. Suppose 14 = -4*o + 2*h, 3*h - 6 = -o + 1. Let c be ((-9)\/243)\/(o\/12). What is the second smallest value in x, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1.29, 2, -11, -0.1 in ascending order.\nAnswer: -11, -1.29, -0.1, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 449\/17?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c**3\/7 - 270804*c**2\/7 + 18476480*c\/7 - 7347264\/7 = 0.\nAnswer: 2\/5, 68, 27012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54365746*x**5 - 208251293*x**2?\nAnswer: -3261944760*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 5*k - 16, 0 = -4*y + 2*k + 12. Suppose -2*c + y = -14. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522552089 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-11))\/f*f*f\/(f\/(f**(-31)\/f*f)))\/((f\/(((((f**13*f)\/f)\/f)\/f*f)\/f)*f)\/f**(10\/7)) assuming f is positive.\nAnswer: f**(-214\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*t - 80 = -4*t + 2*t, 86*u - 82*u + 4*t - 52 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52427*w = -52433*w. Solve w = -2*r - d - 3 + 12, -2*r - 2*d = -14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - i - 1. Let f(v) = 419*v**2 - 2*v**3 + 3*v - 2 + 4 - v**3 - 417*v**2. Determine f(s) + 2*m(s).\nAnswer: -3*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/2 - ((-26814)\/(-144) - -8). Let g = 577\/3 + u. Factor -5\/4*c + g + 1\/8*c**2.\nAnswer: (c - 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/21 + (-44)\/7. Let k(v) be the first derivative of v**4\/4 + 5*v**3\/3 - 3*v**2 + 3*v - 5. Does 3 divide k(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435\/(-60)*(28 + -24)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -305 by 41.\nAnswer: -305\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41377 is divided by 10301?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3 - z)*(-190 + 31 - 333 + (-1 + 2 + 0)*(2 - 4 + 5))*(-3*z - 3*z + z) in the form h*z + i + a*z**2 and give a.\nAnswer: -2445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Suppose -20 = 4*y, -5*n - y = -n + 5. Suppose -h + 67 = 4*h + 2*d, n = 3*h + 4*d - 29. Suppose u + h = 2*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 + u**2 - 3*u + 2. Let o be y(1). Suppose -15 = o*t - 2*v - 97, -2*v - 220 = -5*t. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546 at most as big as 10637\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**5\/7 + 24348*a**4\/7 - 7461729*a**3\/7.\nAnswer: -3*a**3*(a - 7797)*(a - 319)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 45 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102200302213 (base 4) to base 8.\nAnswer: -22406247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 944 - 44370\/47. Which is the closest to 0.1? (a) -5 (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i. Let o(r) = -r. Let a(g) = 22*o(g) + 6*y(g). Let x(d) be the third derivative of 0 + 0*d + 0*d**3 - 19\/24*d**4 + 49*d**2. What is a(x(f))?\nAnswer: -38*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 301\/6 + -50. Which is the nearest to -1? (a) 3\/5 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 34 = -20. Sort -5, 0, z, 5.\nAnswer: -5, 0, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 4*w - 3*w)*(9 - 7 - 6) + (1 + 0 + 0)*(-2*w - 3*w + 3*w) - 4 + 4 + w - 3*w + w - 3*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -182?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 9*x**2 - 9*x - 14. Let q be (-4)\/(-3)*(-135)\/(-18). Let y be b(q). What is y rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -483900 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3843 - -3843. Which is the closest to g? (a) -24 (b) -5\/4 (c) 2\/19 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3937379926 and -0.47.\nAnswer: -3937379926.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 129 and -2.366437?\nAnswer: 131.366437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.88 + -4. Let d = -0.119944 - s. Round d to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + x**2 - x**2)*(-2*x**2 + x**2 - 3*x**2) + 0*x**2 + 2*x**5 + 0*x**2.\nAnswer: 10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35832 - 137a?\nAnswer: 34485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -5)\/(-1) - -21. Let z(t) = -12 - 9*t**2 + 21*t - 30*t + 0*t**3 + t**3 + m*t. Calculate z(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 - 94. Is x > 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (34\/10 + -3)\/(3\/15). Let d(b) = -44*b - 4*b**2 + 3*b**u + 44*b. Let i(m) = 3*m. Calculate d(i(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5 + 29 = 4*a, -6 = a + 2*f. Suppose o + a*o = 21. Solve 4*d = 3*h - 14, 0*h + h + o = -d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1836570 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119404512, 238809022, 358213534, 477618048, 597022564?\nAnswer: 716427082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1017*h + 442*h - 1531*h = -99942 - 41160 for h.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/4*(-1)\/(-12). Which is the closest to -1? (a) g (b) 0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/665050 and -79\/1143886?\nAnswer: 28597150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + (-444)\/(-12) + 21?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476 a factor of 493691004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11))*-1*-6.\nAnswer: -12 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3 + 11 = 3*t, -2*t = -r + 13. Suppose 83 = 4*n - a, -r*n + 0*a + 85 = 5*a. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*(231\/(-21))\/(-44)*8\/(-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 5. Let g be q(0). Let o(w) = 8*w - 1. Is o(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -452 divided by -226.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7930884380+1\nAnswer: 7930884381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 15*c - 238. Put 4, 5, -2\/21, c in increasing order.\nAnswer: -2\/21, 4, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 32*f - 3 - 29*f + 4. Let a(w) = w - 1. Let t(c) = -5*a(c) + l(c). Let g(d) = 2*d - 7. What is 3*g(o) + 4*t(o)?\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 6*s - 4. Calculate g(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.5 - -32.5. Let h = 18 - w. Let s = h - -25.6. Which is smaller: 1\/3 or s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1823*m - 1. Let g(r) = -1384*r**2 + 4186*r**2 - 1402*r**2 - 1403*r**2. Give g(q(o)).\nAnswer: -9969987*o**2 + 10938*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 133 = -5*r + 3*r, -4*r + g = 245. What is the remainder when 2535\/18 - (r\/12 - -5) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103156 is divided by 20630.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 333924*d**6 - d**4*f + 3031*d**2*f - 14*d*f wrt d?\nAnswer: 40070880*d**3 - 24*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + (2 + sqrt(99))*-5 + -3 + 4 + 3.\nAnswer: -15*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {m: 2, b: 2, h: 6, s: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86374, -86370, -86354, -86320, -86262, -86174, -86050?\nAnswer: -85884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9408.498mg to grams.\nAnswer: 9.408498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421*s**2 + 271*s**2 - 710*s**2.\nAnswer: -860*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84 + 209 - p**2 - 22 to q*p + s + f*p**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 66, -46, 106, 1, -3 in decreasing order.\nAnswer: 106, 66, 1, 0, -2, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.96724 to two dps.\nAnswer: -7.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n*s**4 + 2*n*s**3 - 2*n*s**2 - 78*n - 2*s**4 + s**2 wrt s.\nAnswer: 24*n*s + 12*n - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 172098 divided by -54\nAnswer: -3187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjmv. Give prob of picking 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 90?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-1))\/((-940)\/846 + (-501)\/(-378))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 8:48 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 1658257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 32, 68, 154, 308, 548?\nAnswer: 892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*s = -8 - 322 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-10))\/(978\/(-9780))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.053 + 0.011. Let n = 0 + h. Let k = -0.101 - n. Round k to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-267)\/(-445)*10\/(-11). Which is the nearest to 3? (a) o (b) -2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 5872*p**2 + 1237420*p + 9525600.\nAnswer: 4*(p + 8)*(p + 245)*(p + 1215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - r**2 + r**2)*(-3 + 1 + 0) - 41721*r + 255*r**3 + 41721*r - 2*r**2.\nAnswer: 251*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 5}. What is prob of picking 1 a and 1 f?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 28.36+4\nAnswer: 32.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qiqkiqkuqhjk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50135152 divided by 12533788.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 20 + 76)*(32*b + 4*b - 74*b + 4 + 2*b - 4 + (2 + 1 - 2)*(2*b + 2*b - 2*b)).\nAnswer: -612*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225074 and 10982.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 66 and 1917.\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + -0.03. Let s = j - 0.04964. What is s rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.2, -2\/7, 6, 290, -1\/23?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5*z - 106, -2*z - 129*i - 34 = -124*i for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103588340.\nAnswer: 2, 5, 211, 24547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3*u - 15, -2*j + 4*u - 5*u = -1. Let i be 9\/(-6) + j\/(-4). What is the units digit of (-3)\/i*340\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-5))\/(10\/(-100)). Suppose -25 = -r*t + t. Solve -3 = 2*h - t*d, 3*h - 1 = d + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -14 (b) -1 (c) 6 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrryiixrirxvyxrixrr. What is prob of sequence ixxx?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 18 = 5*w, -3*f + 2 = -5*w + 14. What is the remainder when 14 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**2 - 2750*c - 61913. Determine p(-23).\nAnswer: -779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-28)\/36*3. Is f bigger than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13945073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -999 + -5aa?\nAnswer: -1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2766969701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 0 - (8 + -4 + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 5. Suppose 1 = -3*w + o*w. Put -4, w, -1 in decreasing order.\nAnswer: w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -2*t**3\/3 - 23*t**2\/2 + 19*t. Let l be x(-7). Solve 2 + 8 = l*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 259 + -282 + (8 + -11)*-7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 36*u**4 - 149*u + 32*u**4 + 399*u - 6*u - 68*u**2 + 334*u - 2*u**5 - 576*u**3 = 0.\nAnswer: -1, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2483 = 5*j + 33*p + 2333, 3*j = 3*p - 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 7*u**2 - 5*u + 14. Let h be k(-7). 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: Three letters picked without replacement from qpbqbqbpqpbbbpp. Give prob of picking 2 b and 1 q.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 13*t. Let y(z) = -4*z. Determine y(k(i)).\nAnswer: -52*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 936.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27595579 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/396)\/((-4)\/72)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-7)*1454445\/(-12). Let d = 69434 + y. Let p = 175 - d. What is the biggest value in -2, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 211*g**7\/840 - 8*g**4 + 4*g**3\/3 - 202. Let s(j) be the third derivative of u(j). What is the derivative of s(z) wrt z?\nAnswer: 633*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-105)\/(-10)*(-3)\/(-14). Suppose q + 5*b = 9, 5*q - 3*b - 4 = 13. Suppose 3\/2*j**3 + 0 - 9*j**2 + 6*j - 3\/4*j**5 + s*j**q = 0. Calculate j.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70099730*o**4 - 4*o**2 + 1205707*o - 2 wrt o.\nAnswer: 1682393520*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18360 and 480?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/d**(3\/5)*d)\/d))**13)**(-19)\/((d\/(d*d**2*d*d)*d**6\/d)\/((d*d*d**(-9))\/(d*(d\/(d\/((d**5\/d)\/d)))\/d))) assuming d is positive.\nAnswer: d**(-796\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918338 is divided by 102037?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 14 = 4*i, -2*x + 3 = -3*x. Let a(m) = 6*m + 1. Let t(o) be the third derivative of 23*o**4\/24 + 5*o**3\/6 + 22*o**2. Calculate i*t(d) - 9*a(d).\nAnswer: -8*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76.046 - 0.046. Let m = u - 76.5. Suppose 4*l + 6 = 2. What is the closest to l in 3, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 9*z - 19. Let v be m(11). Suppose -v*j = -s + 9, 3*j + 4 = -j. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26556, -24207, -21858, -19509?\nAnswer: -17160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, a: 3}. What is prob of picking 3 s?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 0*w - 2*w**2 + 0*w. Suppose 4*n + 0*n - 8 = 0. Let b(p) = 0*p**2 + n*p**2 + p**2. Determine b(u(j)).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -3\/4 (c) 0.1 (d) 3 (e) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*g - 95*g - 930 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 458803 and 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3774, 225, -1, -3 in decreasing order.\nAnswer: 225, -1, -3, -5, -3774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6))**(2\/7) assuming a is positive.\nAnswer: a**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270, 292, 1608, 3990, 7750, 13200?\nAnswer: 20652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 10:26 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 167610137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 497, 1219, 1889, 2477, 2953?\n\"Answer: -5*t**3 + 4*t**2 + 745*t - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173594.\nAnswer: 2, 3, 195599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 504*d - 502*d - b, 2*b = -5*d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3. Which is smaller: i or 3\/53?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -7. Let m be (-1)\/4 - 9\/(-4). Which is the biggest value? (a) -1 (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 14) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 6*a - 8*a - 398, 5*a + 971 = -4*d. Let i = -157 - a. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-15 + -17 + 57 + -13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.891678 rounded to 2 decimal places?\nAnswer: 2.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuv when three letters picked without replacement from {u: 1, c: 4, v: 3, l: 6}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:38 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 11) in base 4?\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -3*j**5\/5 - 33*j**4 - 672*j**3 - 5880*j**2 - 16464*j - 92. Factor u(z).\nAnswer: -3*(z + 2)*(z + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 7 - 55) + -33\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 0 + (-6 - -5) + -6 + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 3*r - 18, -6161*b + 6160*b - 6*r = 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1\/3 (c) -0.1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(1\/9)))**(-25)*p\/p**(2\/23)*p\/(p*p**(-1\/5)))**(3\/11) assuming p is positive.\nAnswer: p**(4027\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.44 + -0.04. Let q = 702.9176 + -703. Let i = -0.1176 + q. What is the closest to i in o, 0.5, 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -51. Let u = 8 + -3. Let d = u + l. Which is the nearest to -1? (a) -4 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 + 372 = 15*n. Suppose -n*t - 750 + 4365 = 0. What are the prime factors of t?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g**2 - g - 40. Let m be l(0). Let r = -55 - m. Let b = r + 17. Solve -10 = 3*p + b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.37573 + 0.02427. What is the closest to -0.3 in 0.1, 2\/7, -62, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*f + 4*f**2 - 1 + f**4 - 70*f - f**2 + f**3 to y + v*f**4 + o*f**2 + c*f**3 + q*f and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1698261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 105760 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*g + 1. Let y(p) = p + 1. Let q be y(g). Let u = 0 + 4. Solve c - n - 24 = u*n, c + n = q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -57, -3, 1, 5, -48.\nAnswer: -57, -48, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3967016791925\/2181678 - -132738238\/73. Let u = y - -68\/293. Find the common denominator of u and -39\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 14 + 0)*(2*a - 11 + 11) - a - 2*a + 4*a)*(-4*a**3 + 0*a**3 + 3*a**3).\nAnswer: -31*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-2 - 5) + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010742 to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 151503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1969\/9 + -219. What is the closest to a in 0.5, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-5*sqrt(108)\/sqrt(4))\/sqrt(9) + -4 + -1*sqrt(48) + -5) + -5 + -2)**2.\nAnswer: 6588*sqrt(3) + 12469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011010101 + -11111110000?\nAnswer: -1100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/10*(-24)\/119*952\/(-272).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 20 + 39 - 14)*(0*z**4 - z**4 - z**4 + (3*z**2 - z**2 - 3*z**2)*(-112*z + 139*z**2 + 112*z)).\nAnswer: -282*z**5 - 705*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.982 - 0.018. Let t = r + 23.5. Which is the second smallest value? (a) t (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -6c6ac21?\nAnswer: 6c6ac26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.2 - 146.6. Let o = -168 - f. Sort 2, 0.05, -0.4, o in descending order.\nAnswer: 2, 0.05, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 1\/12*f**4 - 19 + 3*f**2 + 2\/3*f**3 - 8*f. Let m(r) be the first derivative of t(r). Give m(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) -0.2 (c) -1\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13231 - -13321. Calculate the highest common divisor of 840 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(2*sqrt(4)) - sqrt(16))\/(sqrt(48)\/(sqrt(6)*-2 - sqrt(6))) + (sqrt(80)\/sqrt(4)*-3)\/(sqrt(20)\/(sqrt(12)\/sqrt(6))).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let o be a(-3). Suppose l - o = -0*l. Is (-1)\/(-1)*(l + 46) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1745232 divided by 2824.\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10053444?\nAnswer: 2, 3, 641, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830986 is divided by 1689.\nAnswer: 1687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6795 and 49928301.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900*x**2 + 12720*x - 44944 = 0. What is x?\nAnswer: 106\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-29 + 2)\/(-9*17\/306). Solve v - 133 = -79*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/120 + w**5\/30 - w**4\/24 - w**3 + 5*w**2. What are the prime factors of a(-5)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 2151.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -1, 1\/2, -0.3, 0.7, 2\/109?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a kilogram in grams?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.27 - -1.24. Which is the third smallest value? (a) -4 (b) x (c) -0.4 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 40 = 2*r + 4*c, -r - 3*c + 15 = 0. Let b be (-3 - (1 + -2))\/((-8)\/r). Solve p = -2*f + 8, 0 = 5*f - p - 9 + b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -24*t - 5. Let h(i) = -i**2 - 17*i + 5. Let d(j) = -j. Let m(g) = 6*d(g) - h(g). Let p be m(-11). Is l(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131883.7 > -1.37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2716c7a + 1?\nAnswer: -2716c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, w: 3, c: 6, l: 2, r: 1, o: 4}. What is prob of sequence lcr?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.09 or 19?\nAnswer: -4.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d + 99. Calculate j(-9).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 3*n - 1. Let l = -11 + 16. Let g be ((-3)\/(-2))\/(l\/(-10)). What is the units digit of c(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 9 = 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266895 (base 12) to base 10.\nAnswer: -633713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 0 + (3 + sqrt(117) + -1*sqrt(117) + (2 + sqrt(117))*1)*-4)*-1)**2.\nAnswer: 504*sqrt(13) + 2313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 16*c**3 + 264*c**2 - 560*c - 4900.\nAnswer: -4*(c - 7)**2*(c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -14 (b) -0.5 (c) -3\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (7 + -7)) + 65 - 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*q**4 + 41626218*q**3 - 185364663*q**2 + 2*q + 1?\nAnswer: 144*q + 249757308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-780)\/(-60) + (470 - 0) is divided by 161?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 51.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4\/9*n**2 + 0 - 49\/9*n**4 + 0*n + 28\/9*n**3 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -79 in 0.4, 1\/4, 0.142, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136 + 87. Let w = 80 + k. What is the remainder when 185 is divided by w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-704)\/77)\/2*(-35)\/10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 33 - 39 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 11*y**2 + 321*y - 509. Determine o(9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 8) to base 11.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from aavaaavv.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s - 3*s - 3*s)*(266 + 379 - 66 + 767 - 123) in the form k*s + w and give k.\nAnswer: -1223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471 is divided by 143.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 2\/15, -2386, -2\/3, -1 in ascending order.\nAnswer: -2386, -1, -2\/3, 1\/12, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4848067\/734 + 6605. Let w = k + 9351\/1835. What is the common denominator of w and -77\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4166150*c - 4166158. Determine g(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 1934*z + 1932. Give j(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 5237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1224412250 - 2?\nAnswer: 1224412244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(140)\/(sqrt(30)\/sqrt(3)))\/(-3*sqrt(28)\/sqrt(4)) + 6*(-2 + -5 + sqrt(18)*4).\nAnswer: -39 + 215*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.88949ml in litres?\nAnswer: 0.00788949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from {u: 2, k: 2, t: 1, o: 2, q: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 6, h: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -15. Let g = 3 + x. Put -2, -1, g in decreasing order.\nAnswer: g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9259*x - 18545. What is f(2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67128137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -2. Suppose 190*y - 195*y - 409 = -r, 1318 = 3*r - 2*y. Suppose -2*d + u*d - r = 0. What are the prime factors of d?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63065745 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 j(u) = 10 - 11*u + 1 + 12 + 27 - 3. Let b be j(4). Solve -8 = b*h + 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/610 and 127\/2120.\nAnswer: 129320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.152283 and -1.3.\nAnswer: -0.1979679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -289*i**3 - 5*i**2 - 6*i - 2. Let x be p(-1). What is the highest common divisor of 54 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = -7*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543 = 8*q - 13*q - 4*c, 4*q + 424 = 2*c. Let y = 135 + q. Calculate the lowest common multiple of y and 77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -378.6 + 376.9. Which is the closest to 1\/4? (a) 0.4 (b) 0.37 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**5 - 127*z**3 - 2199*z.\nAnswer: 40*z**3 - 762*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 391, -7, -5, 5, -4, -13 in descending order.\nAnswer: 391, 5, -4, -5, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.11, -14, 0.2 in decreasing order.\nAnswer: 8, 0.2, -0.11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -17, -20, -23, -26, -29?\n\"Answer: -3*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 476*u + u**4 + 7*u**3 - 297*u**2 - 461*u + 295*u**2 in the form r*u + d*u**3 + p*u**4 + w*u**2 + y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from effrreeekrea. What is prob of sequence ra?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1402936454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 10*q**2. Let w(i) = -41*i - 387. Let n(j) = 10*j + 86. Let z(v) = 9*n(v) + 2*w(v). What is b(z(r))?\nAnswer: 640*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -6*l + 14*l. Suppose l = -k + b + 62, -2*b = -5*k + 81 + 229. List the prime factors of k.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6*i*i*i)\/(i**1*i))**(-12\/11) assuming i is positive.\nAnswer: i**(-84\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from eujttsnntujn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 121224 to the power of 1\/2, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 84*p + 1. Let d(a) = 251*a + 3. Determine -6*d(r) + 17*t(r).\nAnswer: -78*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z + 160 = 35*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 7*m**2 - 6*m + 20. Let u be o(8). Suppose 4*z - 3*z - u = 0. Suppose w = -3*y + 35 + 74, 0 = 4*y + 3*w - 152. Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468832085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9629 + -86?\nAnswer: -96b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 63, 79, 107, 153, 223, 323, 459?\n\"Answer: p**3 + 9*p + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v + 11. Let h(x) = 3*x + 10. Let z(j) = -4*f(j) + 5*h(j). Suppose 0 = 2*k - 3*k + o - 17, 0 = -5*o. List the prime factors of z(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from vmbvbvbvmmnvvvn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251426, -251534, -251642, -251750, -251858?\nAnswer: -251966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 3*t - 9, p + 3*p + 2*t + 6 = 0. Suppose 6*k - 3*k = p. Suppose k = -2*r - 0*r + 88. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76086\/5 - -15217. What is the third biggest value in 4, -47, w, -1, 6\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 416 = 9*q. Let x = q - -3. Suppose l - x = -4*l. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/(-43911)*51*1\/(-16)*18\/2?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11429 divided by -4.\nAnswer: 11429\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (35\/(-4))\/((-1)\/(-4)). Let q = -13 - l. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 464100 and 8092.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*o**2 + 2195933*o - 1102908848 with respect to o.\nAnswer: -92*o + 2195933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2711 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1849 and 5160.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.326?\nAnswer: 0.1304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7406276*o**4 + 23*o**2 + 111389*o + 103?\nAnswer: -88875312*o**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 3:08 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 5\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 6 + 3\/2*u**2 + 3*u. Let z(q) be the first derivative of -2*q**2 - 4*q + 3. Give 6*r(l) + 5*z(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82879\/4 - -20722. Solve -c*w**2 + 7\/4*w - 1\/4*w**4 - 1\/2 + 5\/4*w**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63616 divided by -1988?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 16008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6 - 8*f**3 - 29*f**2 + 12*f**2 + 17*f**2. Let u = -1301 + 1307. Let c(a) = 23*a**3 + 17. Calculate u*c(m) + 17*q(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 5)*(-3*z + 2*z - z)*(-2 - 1 - 1) + 4 - z - 4.\nAnswer: 55*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 21 + 9. Suppose -2*a = a - y*g + 5, a - 5 = -2*g. Let h(k) be the first derivative of -3*k**4 + k**3\/3 - 20. Calculate h(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -895\/4 - -224. Which is the second smallest value? (a) s (b) 3\/8 (c) 5 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 7:24 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59199 + 59199 - 9*w - 10*w + 217*w.\nAnswer: 198*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-34 - 6))\/((-1)\/(-14)). Let g(o) be the first derivative of m*o**4 + 3 + 0*o - 8\/3*o**3 + 0*o**2. What is the third derivative of g(l) wrt l?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -m + 8623, -68*a + 69*a = 3*m + 2159. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 29*q**2 - 48*q - 64. Let t be y(31). Calculate the greatest common divisor of t and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123256 + 123115.654. Let n = 0.146 + x. What is n rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -23*s**4\/4 - 11*s**2\/2 - 20. What is the second derivative of y(p) wrt p?\nAnswer: -138*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -2 + (20 - (-5 - -12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/16 (b) -0.4 (c) 0 (d) -0.3 (e) 2\/49 (f) -4\/55 (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4227, 4232, 4237, 4242, 4247?\n\"Answer: 5*p + 4222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9569.8699 to the nearest integer.\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 35 = 3*l. What is the second derivative of -2*n**l - 3*n + 3*n - 4*n wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -504 - -505. Let v(i) = 61*i**3 - i**2 + 30*i - 30. Does 9 divide v(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 112\/91*24\/192. Which is the fourth smallest value? (a) -2\/5 (b) -6 (c) 3\/2 (d) r (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7ec3 - 11?\nAnswer: 7eb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -6. Let n = g + 21. Calculate the least common multiple of (5 - 5)\/(-1) + 8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-3 - -3) - (-139 + 128).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 32234698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aogggaoog. What is prob of picking 1 a and 1 g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247083557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 11}. Give prob of picking 1 y and 1 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1541\/4 + -382. Let -21\/4*b**3 + 9\/4*b**4 + h*b**2 + 1\/4*b - 1\/2 = 0. What is b?\nAnswer: -1\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-21) + 2369\/161. What is the greatest common factor of w and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + (-24 - -1) - 26?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208550 divided by 6906?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 4*x - 9*x - 45, 0 = -q + 3*x + 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 10:05 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.4 - -8.6. Let p = -12.00128 + q. Round p to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*n**4 + 79*n**3 + 377*n**2 + 201*n - 90 = 0. Calculate n.\nAnswer: -3, -1, 2\/7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 31 - 3 - -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = -15. Let y be 280\/(-21)*(-36)\/w. Suppose 6*t = 3*t + y. Does 32 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 4*p + 10. What is j(10)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7363, -14514, -21465, -28216, -34767, -41118, -47269?\n\"Answer: 100*m**2 - 7451*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (3 + -5 + 1)) + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from {x: 3, v: 4, e: 11}?\nAnswer: 44\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 0*o**3 - 16*o**2 + 1\/24*o**4 + 0 + 2*o. Let r(t) = -2*t - 32. What is y(r(i))?\nAnswer: -2*i - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 12528*f**3 + 10 - 12487*f**3.\nAnswer: 41*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - 0. Let d = p - -7. Suppose 3*a - 2*o = 102, o = d*a - 74 + 6. Calculate the greatest common factor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/2085 and -14\/5.\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1200000*k. Let u be x(5). What is u rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - j - 2, 7 = -2*w - 4*j - 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2731*q - 67880. Determine v(-25).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*w + 17*w + 22400000. What is w rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 3*x + 1. Let j(p) = 34*p**3 + 13*p + 6. Give -5*h(n) + j(n).\nAnswer: 39*n**3 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 223064 and 195181.\nAnswer: 1561448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/3)\/(-5))\/(1205\/(-30125))?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h. Let f be m(4). Suppose 175*t + 300 = 185*t. Let k = f + t. Solve 0 = -s - 3*s - i + 18, -k*s + 14 = 3*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13052 (base 7) to base 6\nAnswer: -24015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-162)\/(-234))\/(((-4)\/(-10))\/(8\/30))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.4264171s?\nAnswer: 426417100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*t - 73 - 599 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 201636 and 756.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*(sqrt(204) - (-4*sqrt(204) - sqrt(204)) - sqrt(204) - sqrt(204)))\/(sqrt(1452) - (sqrt(1452) + (sqrt(1452) - (sqrt(1452)*3 - sqrt(1452))*4))).\nAnswer: 96*sqrt(17)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 118016, 3, 46, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41696368?\nAnswer: 2, 7, 372289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-1) - ((-1 - -5) + -9). Which is the second biggest value? (a) 22 (b) -1.8 (c) u (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 315\/1911 + (-8)\/26 + (-12)\/(-182). What is the nearest to -1 in -0.4, 2\/31, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**6\/15 + 4*f**5\/25 - f**4\/30 - 2*f**3\/15 - 6*f. Factor j(c).\nAnswer: -2*c*(c - 1)**2*(5*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217291176.982 minus 9.9?\nAnswer: -217291186.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 6403*z**2 + 6403*z**2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 14. Let a = 27 + d. Sort 6, -0.1, a, -5 in increasing order.\nAnswer: -5, a, -0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(15)\/sqrt(3) - (2 + sqrt(5) + 4))*-3.\nAnswer: -15*sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 - 10*r**2 - 256*r - 1010. Calculate n(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/77 - 170\/(-7). Let q = h + -22. Suppose -3*x - 3*l = q*x - 155, -4*x - l = -117. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.1 (b) -0.2 (c) 2\/15 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 93473, 93468, 93463, 93458, 93453, 93448?\n\"Answer: -5*t + 93478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/((-3)\/(-12)). Suppose l = o*l. Suppose 4*q + 3*a - 223 = l, q + 4*a + 128 = 3*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, 19, 50, 95, 154?\n\"Answer: 7*m**2 - 4*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - c - 23 = 0, d + 193*c = 195*c + 2. Solve -43*t + 10 = -46*t + 2*l, -20 = 4*t + d*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83 or -136?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 6, n: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2739 rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j - 16. Let n(f) = 10*f - 15. Let o(m) = 3*l(m) - 2*n(m). What are the prime factors of o(6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.191929 weeks in days?\nAnswer: 8.343503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/99 and -1\/600.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2169, -2172, -2189, -2226, -2289, -2384, -2517, -2694?\nAnswer: -2921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 491269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1525 * 56791\nAnswer: 86606275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*k = -661*k - 4*v + 44, -84 = -4*k + v for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17172 - -17748. Calculate the greatest common factor of 14832 and s.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 845 - 843. Solve -4*h + 15 = w, -b*h + 3 = -0*w - w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 94 - 96 + 3947*n - 5*n**2 + 3*n**2 as o + s*n + h*n**2 and give s.\nAnswer: 3947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20584 and 498.\nAnswer: 61752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - -20 - (6 - 3) - 10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 1. Let h be v(-1). What is the units digit of -3*h\/(-18)*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**5\/6 - 35*z**4\/6 + 476*z**3\/3 - 1970*z**2\/3 + 504*z = 0.\nAnswer: -54, 0, 1, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1. Let i(f) = f + 2. Let s be i(-6). Let y(n) be the third derivative of n**4\/24 + n**3\/6 + 9*n**2. Let d(u) = s*p(u) - 3*y(u). Determine d(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 11*z**2 + 15*z - 30. Let u be s(12). Let q be u\/9*-6 - 9\/(-1). Solve 2*n + 5*v - 2 = -2*n, -q*n = 5*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+-876348855023\nAnswer: -876348855019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6811 - 376?\nAnswer: 6435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6886 by -2156.\nAnswer: -313\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7177377237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31.2 - 31.3. Let n be (35386\/(-255))\/((-12)\/(-15)). Let x = -347\/2 - n. Which is greater: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -2 - -1)*-22. Suppose -k = 5*t - 247. What is the greatest common divisor of t and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**3 + 34*z**2 - 34*z**2)*(-92 + 92 - 3*z + (-4 + 2 + 3)*(-31 + 31 + 2*z)) in the form a*z + r*z**2 + w + q*z**3 + j*z**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11900.1 + 11963. Let d = 57 + 6. Let j = r - d. Which is the third biggest value? (a) 4 (b) 2\/17 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 5:27 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*l - 184 = 1184. Calculate the remainder when 638 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 13*n + 140. What is n rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2034*t**3 + t**2 - 4*t + 3. What is the hundreds digit of s(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6818367885 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1904335760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11459 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12391, -25620, -38837, -52036, -65211, -78356?\n\"Answer: f**3 - 13236*f + 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*(4*sqrt(171) + sqrt(171) + (sqrt(19) - sqrt(171)\/(sqrt(729) + sqrt(9)))))**2.\nAnswer: 4323451\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/6)\/(4\/(-6)). Suppose 0 = 2*a - 11 + 7. Suppose -s = -n*s + a. Solve s = i + i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*q - 19 - 5 = 0, 0 = -2*y - 4*q. Let s(u) = u**2 + 9*u + 8. Let i be s(y). Let f(w) = -w + 4. Calculate the least common multiple of 2 and f(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(176) + 5 + -1*sqrt(11) + 0.\nAnswer: 5 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d - 365 + 1079 - 357 - 357. Let l(n) = 188*n**2 - 32*n - 32. Let r(y) = 29*y**2 - 5*y - 5. Let b(f) = -5*l(f) + 32*r(f). Determine b(v(p)).\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*v - 39*v - 37*v = 78 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-9)*(-12)\/5*((-83430)\/216)\/(-103)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.2? (a) -2\/9 (b) -4 (c) 175 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(60\/(-135)*3\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139 or -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3. Suppose -w = -n*w - 3. Suppose -y = w*y - 24. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 6*g + 8. Let y be h(-4). Solve y = 5*d, 0 = -2*x + 3*d + d - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 5 + 228\/39 + (-6)\/(-39).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 36 = -4*c, 39 = -c - 3*m + 30. Let f = 26 - 26.27. Let s = f + -0.03. Sort s, c, 0.2.\nAnswer: c, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 4*n**4 + n**3\/3 - n + 64. Give y(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -7.4. Let c = 0.2 - f. Let i = -182.8 - -183.8. What is the smallest value in -3, c, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -29585*g - 147943. What is d(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*a**3*z**3 + 170*a**3*z + 2*a**2*z - 2*a*z**4 wrt z?\nAnswer: -354*a**3*z - 24*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 1. Let r be z(4). Suppose -2*o + 18 = 2*x + o, 0 = -r*x - 2*o + 56. Solve -n = 2*n + x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-334*l + 240*l - 651*l)*(0 + 2 - 5) as d + m*l and give m.\nAnswer: 2235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 15*r**5 + 81*r**4 - 60*r**3 - 516*r**2 + 288*r + 192 = 0.\nAnswer: -4, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 11. Let r(z) = -z + 6. Let y(n) = 3*f(n) + 5*r(n). Let k(t) = t + 1. What is -k(d) - y(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - 1.056603385.\nAnswer: -0.996603385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 150.5904*0.07\nAnswer: 10.541328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c0 + -262?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88281674*k**2*x**3 - 2*k*x**3 - 3*k*x + 4963572*x**2 wrt k.\nAnswer: -176563348*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 11 + 8 - 1 + 1 - 2 + (-1 + 2 + 1)*(-1 + 2 - 2))*(-i - 4*i + 7 + 3*i) + i - 2 + 2 + i + i - 3*i.\nAnswer: -16*i + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -277 + 92. Let f = b - -186. Let a = -612 - -14078\/23. Is a <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10577 and 2471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1074910 and 79\/644946.\nAnswer: 3224730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24 (b) 6 (c) 0.5 (d) 4 (e) -81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*z = -619*z + 77*d - 15, d = -1 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 80 = 3*v - 11, -p - 9 = 3*v. Let x be (-5262687)\/p - 2\/(-10). Suppose -49154 - x = 4*l. What is l rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1889 - 1888.5. What is the closest to 0.2 in 5, 3\/8, b?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 a factor of 719488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3258805 minus -0.16?\nAnswer: 3258805.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244, -594, -634, 86, 2016, 5606?\nAnswer: 11306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125426 is divided by 31353?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 153760 and 4.\nAnswer: 153764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37132 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -259*c*t**5 - 219*c*t + c + 2*t**5 + 73*t**3 - 60*t wrt t.\nAnswer: -5180*c*t**3 + 40*t**3 + 438*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vovodooooovdavvodd. Give prob of sequence dvoa.\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -8*a**2 - 5*a + 7. Let l(w) = -6*w + 5 - 9*w**2 + 5 + 1 - 3. Let z(n) = -6*c(n) + 5*l(n). Let i(r) = r**2 + r - 1. Determine 2*i(t) - z(t).\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 4*k**2 + 3*k - 1. Let y be (330\/(-75) - 1) + (-4)\/(-10). Give p(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70872?\nAnswer: 2, 3, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 0*r - 2*r)*(0*r + 2*r - 4*r) + r - 2*r**2 - r - r**2 + 5 - 3 + 3*r**2.\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*t**2 + 309*t**2 + 341*t**2.\nAnswer: 715*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4795680, 9591357, 14387030, 19182699, 23978364, 28774025, 33569682?\n\"Answer: -2*i**2 + 4795683*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/102)\/(-7)*1\/2*(-466)\/(-932).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*f + 10586 = -14392 + 10656 for f.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8578 + -8576.7751. What is g rounded to 2 dps?\nAnswer: 1.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 + -110. Let a(w) = w**3 + w**2 + w. Let k(j) = 5*j**3 + 2*j**2 + 12*j - 19. Let l(n) = -6*a(n) + k(n). Is l(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*s**2 - s - 88*s**2 + 17*s**2.\nAnswer: -31*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-5\/2)*m*m**5*(m**(-2)*m)\/(m\/(m\/(m*m\/(m*m\/(m\/((m**(2\/5)\/m)\/m*m)))))))\/((m**0)**37)**(-2\/93) assuming m is positive.\nAnswer: m**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/4*28*1. Let n = -15 - c. Suppose 0 = 2*t + 4*p - 24, 40 = -4*t + 6*t - 4*p. Solve -t + n = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (292\/16)\/(2\/8). Suppose -28 = 5*b - f. Suppose 7*z + 7*z = 84. Solve -3*w + z*w = -b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9205930651 rounded to the nearest 1000000?\nAnswer: -9206000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5327, 5228, 5069, 4856, 4595?\n\"Answer: b**3 - 36*b**2 + 2*b + 5360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -183, -229, -349, -579, -955?\n\"Answer: -6*n**3 - n**2 - n - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (6 - -1) - (2 + -1 - 8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g**3 - 2*g**2 + 4*g - 4. Let n(s) be the third derivative of -s**6\/15 + s**5\/30 - 5*s**4\/24 + 5*s**3\/6 - 110*s**2. Determine 4*n(m) + 5*y(m).\nAnswer: 3*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -944 + 940. What is the second smallest value in w, 1, -10, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = 14*l - 7444983. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84071 and 6264?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5715*c + 2540. Let p(i) = -2*i + 1. Calculate n(a) - 2540*p(a).\nAnswer: -635*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102\/5 + -21. What is the closest to 2\/5 in 1\/5, s, -19?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39872681.85 to the nearest one thousand.\nAnswer: 39873000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 1. Let o(w) = -4*w + 5. Let p(z) = -o(z) + 5*r(z). Let q(s) = -3*s. Determine q(p(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*y - 5 = 3, 2*y = 3*p - 2. Solve -4*s + p = 4*r - 26, -2*s = 5*r - 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**1*b)*b)**19\/(b**(-2\/3)*b**0)*b**(-1\/10)*b**2*b**4*b*b\/(b\/((b*b\/b**(-2\/9))\/b)) assuming b is positive.\nAnswer: b**(791\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-672)*14*-1.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/5 - 2094428*j**3\/5 - 16755258*j**2\/5 + 39793808*j\/5 - 4188824 = 0. What is j?\nAnswer: -1047206, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*u + 3*k, -u + 55*k = 56*k - 9. Solve -u*q + h + 1 = 0, 4*q + 2*h - 12 = -14 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = g - 7, -3*s + 3*g = 53 - 32 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and 10994.51.\nAnswer: 241879.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 11*p**2 + 4*p - 10. What is the remainder when m(11) is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 5 (b) 3 (c) 0.0822 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 87 - 19209*f**3 - f**5 + 19209*f**3 + (-2 + 2 - 2*f**3)*(74 - 74 - 14*f**2).\nAnswer: 27*f**5 + 87","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 7:07 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -2. Factor -17*f**2 + 2*f + 2*f**3 + 4 + 2*f**t - 4*f + 11*f**2.\nAnswer: 2*(f - 1)**2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6522 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2 - 19*d - 3 + 20*d. Let s = 60 + -53. Calculate k(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2942?\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437713339.\nAnswer: 41, 97, 361507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 381*s**3 - 380*s**3 - 3*s - 9 - 5*s**2 - 42 as b*s**2 + c + t*s + n*s**3 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 - 22*s + 31. Let i be n(-6). Calculate the greatest common divisor of i and 715.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -6\/5, -20, -5\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2255.\nAnswer: 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42233 + 168017\/4. Let n = 229 + b. Find v such that -n*v**2 - 1\/4 + 1\/2*v = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 8642.\nAnswer: 3456.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2028346\/2577 - -204\/859. Let a be 1\/((-42)\/32885) + 2. Let p = a + j. Find the common denominator of p and 57\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((70\/(-20))\/7)\/(1\/(-1368)) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9 = 3*b - 5*b, -6 = -3*i + b. Suppose 0*w - 1920000 = -i*w. Round w to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2736327 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*o - 4*q, 0 = -0*o - 3*o + q + 8. What are the prime factors of ((-20)\/(-5)*o)\/((-8)\/(-228))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/7 - 25*a**2\/7 - 16*a + 84 = 0. Calculate a.\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(27)\/(sqrt(9)*-2*-1).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/7*(-84)\/(-24). Let g(v) = -4*v**2 + 6*v - 66. Let w(m) = m**2 - m. Let o(l) = q*g(l) + 6*w(l). Differentiate o(k) wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 - 6662?\nAnswer: -6605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/5 + 189024*p**2\/5 + 5293848*p\/5 + 7411936 = 0.\nAnswer: -14, 94540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -z + 33, -3*z = t - 7 - 4. Sort 0, -1, t.\nAnswer: -1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.3 in -37, -0.036, -4, -0.3, 3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 32*y**2 - 10*y - 19. Let o be b(-3). Let n = 460 - o. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-4998)*19201 + 24 - (-18)\/51.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 4 = -3*d, q - 6 = 2*d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6115010155 to the nearest integer?\nAnswer: 78199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 5*z**2 + 2*z + 6. Let q be a(-5). Let m be (-2)\/q*17*-2. Let y = -6 - m. Calculate the smallest common multiple of y and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-7 + -23 - -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343306778.\nAnswer: 2, 197, 871337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 216242610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -64456454?\nAnswer: -64456462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(11)*-1 - sqrt(11))*-1 + sqrt(44) + 2 + sqrt(11)) - (sqrt(11) + -4 + -5 - ((sqrt(99) - (sqrt(99) + -2)) + sqrt(11)))) + 0)**2.\nAnswer: 1050*sqrt(11) + 7316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-171)\/36 - -4)\/((-1)\/168)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -381, -757, -1133, -1509, -1885?\nAnswer: -2261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4578650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6095*h**2 - 926435*h + 760.\nAnswer: -5*(h + 152)*(1219*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/(12\/32). Let q = 0 + y. Let z(h) = -h**3 - 3*h**2 + h - 2. Give z(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**4\/6 - h**3 + h**2. Let t = 40 - 49. Is 15 a factor of o(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-37 + 15) - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*x. Suppose x*u = -u. Solve u*k = k + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**2 - 1490*v - 256200 = 0?\nAnswer: -122, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 718869.8 micrometers in millimeters?\nAnswer: 718.8698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 540 = 2*n - 8*p, 0 = -5*p. Let u be 54\/n*5\/1. Let z = -5 - -10. Solve r - u = -z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -88*m. Let p(y) = -2*y + 4*y + 4*y - 5*y + y. What is p(u(h))?\nAnswer: -176*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628597 is divided by 109.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108 + 199. What are the prime factors of s?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/9 + 255884*v - 73661199138 = 0 for v.\nAnswer: 575739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 - -16. Suppose -5*k = m + 223. What is the tens digit of 7*k\/(-4) - (-2)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*6\/(-108)*876\/(-730)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((-3)\/(-60)*15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 125 - 217 - 736 = 0. Is t greater than 127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -209 - -215. Solve -3 = -f*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + f - 12. What is the remainder when c(4) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-13 - 12) + (1 - 2) + 3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 933966701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111067056?\nAnswer: 2, 3, 771299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-10)\/(-60))\/(200\/(-1005)) and 139\/72.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1172 (b) 4 (c) -11.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 - 41*n + 40. Let u be s(1). Is 32\/16 + u + -1 + 269 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*s**5 + 548208*s**4 - 41*s + 49696 wrt s?\nAnswer: -240*s**3 + 6578496*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 0*p**3 + 0 + 1\/12*p**4 + 0*p + 0*p**5 - 1\/240*p**6 - 29*p**2. Solve n(q) = 0 for q.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*j = -159, -2*i + 3*j + 561 = 2*i. Suppose -2*a - 3*a = -145. Calculate the remainder when i is divided by a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -635 - -653. Let v be ((96\/(-5))\/4)\/(d\/(-2205)). Calculate the greatest common factor of 42 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q. Let r(v) = -2425574*v**2. Calculate h(r(p)).\nAnswer: -12127870*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3865)\/3092)\/((-35)\/6)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 627. Let v = 135 - x. Is 26 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113.94 + 117. Let y = v - 0.06. Which is the third smallest value? (a) -4 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 197116*i. Let j(w) = 665*w**2 - 2*w. Determine j(p(v)).\nAnswer: 25838387108240*v**2 - 394232*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1927, 1892, 1833, 1738, 1595, 1392, 1117?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -229 + 721. Let o = 492.985 - h. Let u = o + -1. Round u to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -929029 - -1858059\/2. Let s = 1 - -0.4. Let b = 1.435 - s. What is the biggest value in -4\/7, b, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.184 - 27. What is x rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2975*r*v**2 - 987*r*v wrt v?\nAnswer: 5950*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**7\/840 - k**6\/90 - k**5\/40 + 5*k**4\/12 + 41*k**3\/2 - 73*k. Let x(w) be the second derivative of u(w). Give x(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19883385 from 3.6.\nAnswer: 19883388.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 320 + -315. Let u(c) be the third derivative of 7\/30*c**5 - 4\/3*c**3 + c**4 + o*c**2 + 0*c + 0. Suppose u(s) = 0. Calculate s.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14262 - 7813 = -185*x - 36690 for x.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 - 54*m + 53*m - 42*m + 43*m. Let a(u) = 36*u**2 + 16*u. Let b(j) = 7*j**2 + 3*j. Let h(r) = 3*a(r) - 16*b(r). Determine h(g(q)).\nAnswer: -100*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*w + 3, 2*q + 10 = 4*q. Determine y so that 4 + y**2 - 4*y**2 - y**2 + 0*y + 2*y - w*y**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -99?\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3964 + 1201 = 24273*s - 24377*s + 2749 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdu when three letters picked without replacement from uocxpuxxuxuuuuduuuuu.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**11\/b**(-19))\/(b**(-9)\/b**(-2\/7)) assuming b is positive.\nAnswer: b**(271\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21a0 (base 12) in base 2?\nAnswer: -111010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804894 rounded to the nearest 1000?\nAnswer: 1805000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 1, i = 4*x - 37 - 8. Let k = -108 - -108. Suppose k = 2*w + 4*l - 48, -4*w + 105 = w - 5*l. What is the highest common factor of w and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 7 - 33 = 0. Let i(k) = -k**2 + 17*k + 1. Let t be i(19). Let z = t + 35. Is z < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 26 = 5*y + 4, 0 = 3*y + 3*c - 18. Put -0.0279, y, -7, -5 in decreasing order.\nAnswer: y, -0.0279, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - 3*i - 3*i)*(399*i - 11 - 9 + 31 - 15) as t*i**2 + z*i + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16*15\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a decade in years?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1788)\/(-2980)*20\/(-534).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p + 2278 = 91*p. Calculate the remainder when 47 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21326, -21204, -20868, -20210, -19122, -17496?\nAnswer: -15224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44, 48, 50, 50, 48?\n\"Answer: -p**2 + 7*p + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20785465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4 - 116. Calculate the least common multiple of 12 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(343) + 0 - sqrt(343)) + -2*sqrt(252))**2.\nAnswer: 48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -45*(2 + 24\/(-20)). Let d be (33\/(-2))\/(3\/u). Calculate the greatest common divisor of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -92 + -3817?\nAnswer: -38a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1450, 2899, 4350, 5803, 7258, 8715?\nAnswer: 10174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4477 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/72 and -101\/324?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 7*c**2 + 6*c - 3. Let p be x(-6). Let w(b) be the third derivative of b**5\/60 + b**4\/8 - b**3\/3 - 3*b**2. What is w(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -2*b - 8, -2*g + 26853*b - 12 = 26850*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 34 = -29 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 6*x + 1. What is k(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -98b (base 16) to base 9\nAnswer: -3314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-9))\/1*(-6)\/1. Let v = -47 + 50. Which is the nearest to 0.1? (a) -1\/5 (b) v (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -8 + 10 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1276 <= -3830\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/13 + 207880*u**4\/13 - 831562*u**3\/13 - 1039440*u**2\/13 = 0.\nAnswer: -103944, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**4 + y**3 + y - 2. Let z(p) = 90*p**4 + 6*p**3 - 105*p**2 + 6*p - 12. Let t(g) = -6*j(g) + z(g). Find the third derivative of t(c) wrt c.\nAnswer: 2304*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -2)*2\/2. Let s be 1 + -1 + 1 - f. Suppose -z = s*z - 44. Calculate the greatest common factor of z and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 2 - (17 - 22).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385491 is divided by 141?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 18.3, 1\/4.\nAnswer: -2\/11, 1\/4, 18.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -142269.0122 rounded to the nearest integer?\nAnswer: -142269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -39. Let t = -29 + v. Which is the biggest value? (a) t (b) 0 (c) 3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 10*g + 9. Let w be s(-9). What are the prime factors of -2 - w\/(-3 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85028055.\nAnswer: 3, 5, 7, 41, 19751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*16838\nAnswer: -6735.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2007, 872, -873, -3228, -6193, -9768, -13953?\nAnswer: -18748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 21 = 2*k - 39, d + 31 = -3*k + 37 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76753537 is divided by 7622.\nAnswer: 7619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10129*l + 248. Let x(m) = -2026*m - 45. What is 2*p(k) + 11*x(k)?\nAnswer: -2028*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329*-151.\nAnswer: 49679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2410 - -6085. List the prime factors of q.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**6\/5 + 52*o**5\/25 - 41*o**4\/10 - 16*o**3\/15 + 4*o**2 + 5816. Solve b(z) = 0.\nAnswer: -10, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/3)*d**(2\/11)*d**(-7)\/((d**(3\/4)*d)\/d) assuming d is positive.\nAnswer: d**(-1087\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5641, -297 in decreasing order.\nAnswer: 5641, -5, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 206 + -199. Solve 0 = p*w - 6 - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 15*d**2 - 36*d + 11. Let r(g) = 3*g - 45. Let a be r(11). Let s be i(a). Solve 0 = -10*w + s*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 20*u + 18. Calculate the remainder when (-1152)\/(-20) - 3\/5 is divided by d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + q - 1. Let y(o) = o**2 - 2*o + 3. Let s be (2 - 1)*1*-1. Let g(c) = s*y(c) - 2*j(c). Determine x so that g(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 11*h + 9 = c, -5*c - 15 = 5*h. Let 8\/5*a**2 - 2\/3*a**5 + 8\/15*a - 8\/5*a**4 + 2\/15*a**3 + c = 0. Calculate a.\nAnswer: -2, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34808 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*sqrt(102))\/((sqrt(18)*1)\/sqrt(3)))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyxx when four letters picked without replacement from {x: 4, y: 14}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1825 divide 2255820450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*x + 399*x - 130*x.\nAnswer: 730*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. Find the second derivative of 3*b**2 + 0*b - b - 3*b**c - 7*b**5 wrt b.\nAnswer: -140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 32*b**2 + 192*b.\nAnswer: -4*b*(b - 4)*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 + 5*d + 60. Let j be p(-8). Calculate the greatest common divisor of 159 and j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 18951*p. Let m(a) = 5*a**2 + 36*a + 6. Let g(f) = -7*f**2 - 48*f - 8. Let r(v) = 3*g(v) + 4*m(v). What is h(r(u))?\nAnswer: -18951*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 16) to base 12\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -231968475\/47 - -6088242853547\/1233562. Let z = -3\/1193 - s. What is the common denominator of z and 77\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 - 1350*a**3 + 1341*a**2 + 2694*a.\nAnswer: 3*a*(a - 449)*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (13 - (24 - 9)) - (22 + 7 - 7).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -34, -0.1, 0.06, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.5 (c) 87\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7957 or 8017?\nAnswer: 8017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 790*t + 289. Let u(z) = 527*z + 194. Let j(o) = 5*h(o) - 8*u(o). What is the derivative of j(r) wrt r?\nAnswer: -266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = 5*k. Suppose k*y = 6*y - 16. Suppose y*t = t. Solve 4 = -4*i - t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(6\/(-33) + (-234)\/(-198)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 times 4?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -4. Let v = r + 3.3. Let x = 0.01 - 3.01. Put -1\/2, x, v in ascending order.\nAnswer: x, -1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**5\/240 + 7*f**4\/16 - 41*f**3\/24 - 5*f**2 + 22. Find c, given that k(c) = 0.\nAnswer: 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 148.315 + -148.815. Let n be 0 - ((-8)\/(-2) - 1). What is the closest to 1 in -5, n, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20233042 to the nearest integer?\nAnswer: 4498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*i + 364 = 470 + 906. Calculate the lowest common multiple of i and 2289.\nAnswer: 25179","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5923*s - 2 - 11844*s + 2 + 5925*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f**2 - 3*f + 2. Let x(o) = -o**2 - 1. Let p(i) = t(i) + 5*x(i). Let u be p(4). Put -5, u, -3 in decreasing order.\nAnswer: u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -3*j**3 + 253. Let h(c) = -7*c + 0*c + 0*c. Calculate h(q(s)).\nAnswer: 63*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.48 and 0.107.\nAnswer: 2.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5912?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73 - 116*w - 38 - 37)*(-6*w + 4*w - 4*w).\nAnswer: 696*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - z + 24. Let y be o(0). Suppose 2*m + 5*d = -y, m = 6*m - 5*d + 60. Find the common denominator of (-5)\/((-160)\/m) - -2 and 55\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/159 < 86860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -46626349, -4 in descending order.\nAnswer: 2, -4, -46626349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z + 125*z + 3*z**3 - 146*z.\nAnswer: 3*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1668*t + 18 = -1672*t + o, -2*t = 4*o - 90 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 730 + 746 - 1476 - 117*r.\nAnswer: -117*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2568*z + 982 - 982.\nAnswer: -2568*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 608.2 * 3763.\nAnswer: 2288656.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and 0.3.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 3605052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 154\/50 + 4\/40*40\/(-50). Solve -274 + 259 = -y*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p. Let n(j) = -j. Let m(r) = -13*r**2 + 78*r. Let w(g) = -m(g) - 78*n(g). Determine o(w(y)).\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b - d + 8194 - 8166, -3*d = 4*b + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 183, 188, 205, 240, 299?\n\"Answer: j**3 - 2*j + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2)*(3\/4)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-3))\/(9\/(-27)). Is (2\/6)\/(t\/879) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212972336*m + 9*m**3 + 106486171*m - 3*m**3 + 4*m**3 + 106486165*m.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -1 + 63560\/(-27720) + 1\/9. What is the nearest to o in -0.1, 141, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/504 and 37\/144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1552597 or -1552596?\nAnswer: -1552596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**6\/24 - x**5\/4 + 5*x**4\/4 + 20*x**3\/3 + 227*x**2. Solve p(z) = 0 for z.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/10)\/(1\/(-24)). Let m = p + -22. Let n = 11 - 1. Calculate the lowest common multiple of m and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6521 is divided by 2143?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c55 (base 16) to base 14.\nAnswer: -1217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 296480*m**4*t - 29*m*t + 67*t + 5 wrt m?\nAnswer: 3557760*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 68, 122, 176, 230?\n\"Answer: 54*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61680900, 123361799, 185042694, 246723585?\n\"Answer: -2*f**2 + 61680905*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*g - 18. Let p be ((-8)\/g)\/((-70)\/15). Let s = 16 - 16.1. Which is the second smallest value? (a) p (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 354\/5 or 72?\nAnswer: 354\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 727858127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + 12. Calculate the smallest common multiple of n and 20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16730 - -16727. Let l(n) = -35*n - 110. Calculate l(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from ewwwwwjjwjwjjjjjwjj.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l**2. Let g(a) = -9*a**2. Let b(u) = -6*g(u) + 11*v(u). Let i(d) be the third derivative of d**4\/6 + d**2. Give b(i(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8402620141.\nAnswer: 17, 151, 3273323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = c + 10, 0*z = 5*c + 3*z + 74. What is the smallest common multiple of 36\/3 - c\/(-4) and 19?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 13*k**2 - 7*k - 24. Let g(j) = -7*j**2 + 4*j + 13. Let h(f) = 8*f - 81. Let p be h(11). Let w(o) = p*g(o) + 4*z(o). Let i(a) = -3*a**2. Give i(w(y)).\nAnswer: -27*y**4 + 90*y**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 - -83 - (0 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 15, -b - b = -2*i + 20. Solve -5*d = -4*d + i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 20 = -17*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - ((-2)\/(-5))\/(12\/30). Suppose -3 = m + a - 10, 3*m = -u*a + 15. Let d = -40 - -68. What is the remainder when d is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -1\/105*v**5 + 0 - 2\/21*v**4 + 0*v + 6*v**2 - 8\/21*v**3. Suppose f(k) = 0. Calculate k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-4)*i)\/i**(1\/2))\/(i*i*i*(i*i\/((i*i**(-2\/7))\/i)*i)\/i)**(5\/12))**(-6) assuming i is positive.\nAnswer: i**(-277\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 706?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(45)\/(sqrt(27)\/sqrt(3)))**2*1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 162*z. Let c(y) = -15035 + 5010 + 5010 + 23*y + 5015. Determine -36*c(m) + 5*s(m).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r - 1. Let j = 10 + -15. Let d be g(j). Calculate the highest common divisor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.238? (a) -0.3 (b) 3\/8 (c) 0.108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 3, p: 1, x: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/69 and -19\/46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*c**3*x - 1031*c**2*x**2 + 39*c**2*x + 4*c*x**2 - 64169*c*x - 15 wrt c.\nAnswer: -60*c*x - 2062*x**2 + 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*z = -1680, -272 - 400 = -2*y - z. Suppose 190*m - 189*m = y. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29218 is divided by 130.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 5:39 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -57, -113, -187?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 188*z - 1927. Calculate u(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41652240?\nAnswer: 2, 3, 5, 7, 24793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -63*k**2 + k - 5 - 2 + 10. Is s(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**2 - 115*w = 0 for w.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -73218592\/29 less than -2524778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 6)*(-1 + 0 - 2*a + 9*a) + 0*a + 6*a - a + (1 - 2 + 0)*(a + 0*a + 0*a) + 3 - 3 - 7*a in the form y + x*a and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.01 (b) -17 (c) -0.639\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 113113323?\nAnswer: 113113331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 2*g + 2*g**4 + 3*g**4 - g**4 - 4*g**4 + (0*g + 0*g + g**4)*(2 - 4 + 3) + 5 + 4*g**4 - 5 - 2*g**4 - g + g.\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9864, 9827, 9788, 9747, 9704, 9659, 9612?\nAnswer: 9563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28\/(-12))\/(((-1)\/(-18))\/1). Let x = o + 49. Suppose -3*r = -3*w + 297, x*r + 391 = 4*w + 4*r. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0*y - 223*y**2 + y**3 + 0 - 1\/6*y**4. What is u(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5a915 (base 12) to base 3\nAnswer: -20012201122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 289284649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -14*s. Let g(u) = u**2 + 71. What is g(i(m))?\nAnswer: 196*m**2 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 1.3083?\nAnswer: -1.6083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 50\/(-30) + (-36)\/(-27). Let p = -25\/29 + 417\/551. What is the fourth biggest value in -2\/21, 0.3, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41531 is divided by 6844.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 115551607 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3085 - 3102 = f, -17*s + f + 49 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 512189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**2 + 267545*o + 2675950 = 0.\nAnswer: -10, 53519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*s - 21*q + 16*q, 5*q + 89 = 9*s. Which is the nearest to 1? (a) 2 (b) -1 (c) -3\/7 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1572 = 3*u - 0*u. Let p = 915 + u. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/150)\/(608\/(-95) + 7).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3*3\/4. Suppose -4*l - 22 = 5*f, -3*l - 2*f + 7*f + 1 = 0. Let j = -1 - l. Which is the smallest value? (a) j (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 23*b**2 - 27*b + 51. Suppose 3*k + 84 = -4*r, -k - 4*r - 8 = 28. Does 20 divide t(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1200 and 1350.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -10 - 0. Suppose -o = -n + 27. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19893 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 88 + 32 = 0. What is the least common multiple of 110 and v?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*z - 262 = -5*n, 3*n + z = 263. What is the remainder when n is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + r - 2*r + 2*r - r + (-1 + 3 + 0)*(r + 2*r - 2*r) + 1 - 1 + r)*(-4*r**3 + 21 - 21).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*u + 5*y, u - 2*y = -3*u - 24. Let v(c) = -5*c**2 - 3 - 3 + 0*c**2 - 2*c - c**3. Give v(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9436325, 9436321, 9436317, 9436313, 9436309, 9436305?\nAnswer: 9436301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 - 2*k + 2*k)*(k - k - 13*k**2) - 3*k**5 + k**5 + k**5 + (-20*k - 22*k + 24*k)*(2*k - 2*k + k**4).\nAnswer: 20*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -962*w - 64174 = 353*w + 577*w + 9614 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -93784*0.2\nAnswer: -18756.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/4 and 30\/28 + -17 + 13.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/50)\/((-105)\/(-175)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 11*p + 0 + (3 - 4 - 1)*(0*p - p + 0*p).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 2*z - 4*z + (0*z + 5*z - 3*z)*(0 + 3 - 1) + 2*z - 4*z + z - 4*z + 5*z + z + (5 + 9 + 2)*((-2 - 3 + 4)*(z - 3 + 3) - 3*z + 1 - 1).\nAnswer: -61*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 5, -12, 100, -5, 0.\nAnswer: -12, -5, 0, 5, 19, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, g: 6, b: 9, t: 2}. What is prob of sequence jgtt?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.857145 rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**2 + 88*a + 57. Let p be d(18). Let r(o) = o**3 - 14*o**2 + 20*o + 96. Is r(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -18*c**2\/11 - 691417220*c\/11 + 153648272\/11 = 0.\nAnswer: -38412068, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1324 + 1784. List the prime factors of u.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b**3 - 22*b**2 - 83*b - 8. What is the tens digit of t(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12993.6 + 198?\nAnswer: 13191.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 1. Let z be i(3). Suppose 0 = d - 4*d + o + 13, -5*o = z. Suppose -2*h - 4*a + 87 = -15, -4*a - 216 = -d*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1091451 and 0.28.\nAnswer: 1091451.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -187098109*i**2*u**2 + 2*u**2 - 694036451*u with respect to i.\nAnswer: -374196218*i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + 2*(3 + -2*sqrt(567) + -1*(sqrt(567) - (sqrt(567) + sqrt(567)*1)))))**2.\nAnswer: -6300*sqrt(7) + 57925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = h - 16. Let y be (-2 - -1) + 4\/h. Calculate the common denominator of -149\/6 and y - (-64)\/(-3) - 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6272 and 2780?\nAnswer: 4359040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.24? (a) -2 (b) -3 (c) -0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clck when four letters picked without replacement from {y: 6, l: 2, f: 1, c: 3, k: 3}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*l + 65*l + 24 = 0. What is the third smallest value in -3\/2, l, 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (15\/20)\/((-18)\/82) and 9\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 13. Suppose -t*h + 8*h = 12000. Round h to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(98))**2*3 + 4 - -1*(-5 + sqrt(200)*-1 + sqrt(200))).\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (56\/12)\/(4\/6). Suppose q = u + 1. Let b be (-2 - (-15)\/u)*2. Put -4, b, -1 in descending order.\nAnswer: b, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617434247 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 638458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3381 divided by -147?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6851057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(77)\/(sqrt(11) - 2*sqrt(11)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by -31\nAnswer: 88\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) 28150\/9 (c) 0.5 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/7*b**3 + 0*b + 0 + 0*b**2 - 3\/7*b**5 - 12\/7*b**4 = 0 for b.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 42 = -c. Let y(z) = -21*z + 20*z - 5 + 5. Let d(l) be the third derivative of -l**4\/4 - l**3\/6 - 4*l**2. Determine c*y(b) + 2*d(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -34390688, -26, -2\/9?\nAnswer: -34390688","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, i: 8, p: 1, o: 6}. Give prob of picking 4 i.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 27*a**2 + 54*a + 1452. Let u be w(-27). Let z(t) = t**3 + 7*t**2 + 6*t - 2. What is z(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.763 + -70.514414.\nAnswer: -66.751414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-6) - (-4)\/(-8). Which is the closest to n? (a) 0.4 (b) -2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 0 - 4\/5*l**3 + 176\/5*l + 16*l**2 = 0.\nAnswer: -2, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 654048 and 101952.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 106\/1705 or -1?\nAnswer: 106\/1705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 18 = 4*l, 0 = 5*g + 2*l + 3 - 17. Suppose -2*s - g*s + 59830 = v, 5*s - 74793 = -4*v. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 19*m + 615. Let d = m + 115. Let f be ((-12)\/d*1)\/(5\/10). Let s(k) = k**3 - 4*k**2 + 3*k - 3. Calculate s(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (4 - (-24)\/9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*a + 285 = 136*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.004.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otuqeye. Give prob of picking 1 o and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6, -37, -68, -99, -130?\n\"Answer: -31*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a58c3a7 - -2?\nAnswer: -a58c3a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -y. Suppose -q - 3 = 0, -6*t + y*t - 5*q = -5. Calculate the remainder when -8*(2 + -2 + -1) is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c\/c**(-1\/2)*c)**15*(c**(-1\/5))**(1\/67))**(-4\/27))**(-22) assuming c is positive.\nAnswer: c**(1989812\/9045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28697.\nAnswer: 28697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 5*n**6\/6 - 4*n**2 - 3*n + 78. Find the second derivative of r(u) wrt u.\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 = -4*q. What is the hundreds digit of (-1 - 2912\/(-5)) + q\/40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 110580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1519000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2782 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 200107879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14784 divided by -924\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0*h + 96. What is the highest common divisor of h and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 7*l**2 - 17*l - 6. Let c be s(-8). What is the highest common divisor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 13 - (3 + (-3 + -4 - -4))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10993869917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4\/11, 6, -3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.231 - -5.671. Let s = l - 5.94. Sort s, 1\/25, -0.3.\nAnswer: s, -0.3, 1\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 336.1 - 336. Let g(s) = -s**3 - 8*s**2 - s - 3. Let x be g(-8). Suppose 2*l - x*l = -12. What is the closest to c in 5, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m - 3. Let z(v) = 20*v - 16. Suppose 56 = -32*t + 120. Give t*z(b) - 11*c(b).\nAnswer: -4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**5\/80 - j**4\/48 + 5*j**3\/24 - 3*j**2\/8 - 9*j. Solve c(n) = 0 for n.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2. Let d(b) = -3*b**2 + 14*b**2 + b**2. Determine y(d(l)).\nAnswer: 288*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 495*p**4*v**3 + 20220*p**3*v**3 - p*v**3 + 110010926*p*v wrt p?\nAnswer: 5940*p**2*v**3 + 121320*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 13. Let g be z(6). Let s(v) = -v**3 - 6*v**2 + v - 8. Let w(c) = c**3 + 5*c**2 - c + 7. Let t(u) = g*w(u) + 6*s(u). Solve t(d) = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400464, 400627, 400790, 400953?\nAnswer: 401116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1953)\/(-4)*(-72)\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) 4 (c) 156697\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*m + 27*m - 234 = -150*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -35266398 divided by 345749\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 445607 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3178297*q - 10115 = -3179742*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 d, and 1 c when three letters picked without replacement from bjobbdkkcbdc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**3 - 6*v**3 + 3*v**3 + (v**2 + 1 - 1)*(-3*v + 3*v + 14*v) + (v**2 + 0*v**2 + v**2)*(-2*v - v + 5*v).\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.41 + 0.01. Sort -0.1, -4, z.\nAnswer: -4, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*u = 5*d - 65222, -4*d = 3*u - 52179. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -90. Suppose -y*f = 2*f - 138. Calculate the remainder when f is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -536.4 and 10467.1942?\nAnswer: 11003.5942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiioioioiiiiiiiioi. Give prob of sequence iio.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, l: 2}. What is prob of sequence rlrl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 33*b**2 + 2319*b + 630 = 0.\nAnswer: -70, -3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -5 (b) 0.3 (c) -0.4 (d) -7 (e) -1\/245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/(-1) + 6289626\/322?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1023046.1589 - 658.3589. Let p = -1022462.800212 + z. Let m = p + 75. Round m to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 0*a**5 + 13*a + 5\/6*a**4 + 0 + 0*a**6 + 8\/21*a**7 + 0*a**3 + 0*a**2. What is the third derivative of t(f) wrt f?\nAnswer: 960*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4311, -8, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40512, 80960, 121408, 161856, 202304?\nAnswer: 242752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = m - 4*g, 5*g - 167 = 2*m + 160. Let s be 4*-3*(-2)\/m. Put 1, -3, -2, s in ascending order.\nAnswer: -3, -2, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1026427888?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 11*p + 2. Let t be r(11). Suppose 5*z - 5*b = 120, -5*z + 0*b + 120 = -t*b. What is the remainder when z is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c\/c**(-6)))\/c)\/c**(-9))\/(c*c**(-1\/4)*c*c\/(c**3*c)))**(1\/3) assuming c is positive.\nAnswer: c**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -2)\/200*-8\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-2) - (17 + 0 - -6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44374441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/22 and -109\/7634.\nAnswer: 7634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 48 - 40 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/5 - 42\/504*-12\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*a, 2*v + 2*a - 5*a + 15 = 0. Let f be v + 0 + -1 + 4. Let n(r) = -3 + 5*r + f. Let s(g) = 2*g. What is s(n(b))?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**7\/1680 - 3*m**5\/80 - 37*m**3\/6 - m - 5. Let j(z) be the second derivative of w(z). Factor j(a).\nAnswer: a*(a - 3)*(a + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84786499409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15853 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 1770 = -11637. Suppose -x = 16*t - 13703. List the prime factors of t.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 2*p - 10, -l - 9*p = -2*p - 6*p + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1056*n - 593*n - 19 - 449*n)*(n - 1 + 1)*(-n + 3*n + 0*n).\nAnswer: 28*n**3 - 38*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 15000.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121696 is divided by 1159.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -34*c**3 - 21*c**2 - 20*c + 1. Let s be t(-1). Solve -14*w - s = -90 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*j - 4, -5*j + 5 = r + 10. Let w(m) be the third derivative of -1\/450*m**5 + 0*m + r - 2*m**2 - 1\/5*m**3 - 1\/30*m**4. Let w(v) = 0. Calculate v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -b - 4*u, -98 - 153 = 3*b + u. Let m = b + 423\/5. What is the closest to m in -0.4, 2\/5, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + 1. Solve -5*r + 8 = -j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110000010 (base 2) in base 3?\nAnswer: 12110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6.4727, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.58 greater than 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**4*u\/(u*u*(u**(-3)*u)\/u)*u**2\/u**(-3\/4) assuming u is positive.\nAnswer: u**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 505 = 2206. Let j = 420 + q. Let k be 2 + 21 - 4\/2. What is the highest common divisor of k and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68\/3 - -23. Is 2.8 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**8\/1680 - a**7\/840 + a**6\/180 + 12*a**3 - 6. Let p(s) be the third derivative of g(s). Determine z, given that p(z) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 261, 402, 547?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 0*y - 93300 = -23*y. List the prime factors of y.\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/28 + 148\/(-518). Let v(z) be the first derivative of j*z**4 + 16*z + 12*z**2 + 4*z**3 - 10. Factor v(n).\nAnswer: 2*(n + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 1543 + 1543.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(114)*1 + sqrt(114) - sqrt(114)) + sqrt(114) - sqrt(114)))\/((sqrt(60)*-2)\/sqrt(10)).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 17. Let j be u(13). Let q = 4.7 - 9.7. What is the nearest to j in -0.3, 3\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1776823679.\nAnswer: 89, 19964311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3327478589 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 23\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 608 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -3480?\nAnswer: 1\/870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3276047 is divided by 318.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*z**3 - g*z**2 + 6*g*z + 2*g - 2*z + 4261 wrt z.\nAnswer: 6*g*z**2 - 2*g*z + 6*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u. Suppose -1 = k + 3*i - 6, 3*k - 4 = 2*i. Let s(j) = 8*j. Give k*s(a) - 3*o(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmqqrzmqemmqq. What is prob of sequence rzm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727644?\nAnswer: 2, 3, 60637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10302 + -6905. Let p = n + -1995. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0*g*g)\/((g*g**4)\/g))**(-12\/7)*g**(-1\/3)\/g*g**(-1)*g**(-3)*g*(g\/(g\/g**(-1\/4)))\/g assuming g is positive.\nAnswer: g**(-181\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4598 - -0.0402. Sort 4, 2, -1.2, b.\nAnswer: -1.2, b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d + 17*d + 544 = 0. Solve 90*m - d = 82*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*a**2 + 174*a - 174*a)*(-1 + 5 - 5)*(-2 + 4 + 1)*(-16 - 5*a + 3*a + 30)*(-3 - 2 + 3) as u + i*a**3 + v*a + x*a**2 and give x.\nAnswer: -1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 0 - 4*c - 7 + 3 - 1. Calculate d(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 9*c - 5. Let z be m(-8). Solve -z*f + 6 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-7 + 11) - 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 121 = i, 47 = -2735*b + 2733*b - i for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f**2 + 2*f + 7. Let z be q(6). Suppose 5*x - z - 6112 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -16. Let o = -5 + 6. Which is the nearest to 3? (a) o (b) 3\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x**3 - 17*x - 17. Suppose 4*v + v - 2*c = 40, -2*c = 10. Let j(q) = q**3 + 3*q + 3. What is v*d(n) + 34*j(n)?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45257 - 19605. Does 162 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 + -91. Calculate the greatest common divisor of f and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (-6 - -20) - 16) + -9 + -18.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16.5*0.0965\nAnswer: -1.59225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lii when three letters picked without replacement from {g: 1, i: 5, l: 5}?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 16*q - 10. Suppose 12*p = -21*p - 3 - 63. Let f(i) = 3*i + 2. What is p*v(r) - 11*f(r)?\nAnswer: 2*r**3 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-5 + 11 + 0 - -6 - -17)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*v + 1)*(-6*v**4 + 15*v**4 - 7*v**4 - 5*v**2).\nAnswer: 4*v**5 - 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -2*i - 7*u - 4, u + 1 = 2*i. Suppose -2*x + 2*y + 52 = 0, -x = -3*x + i*y + 51. What is the highest common divisor of 99 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 - 26*n**2\/9 - 70*n\/9 + 98\/9.\nAnswer: -2*(n - 1)*(n + 7)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3\/5 + 169*g**2 + 2526*g\/5 = 0.\nAnswer: -842, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 105, 100, 93, 84, 73?\n\"Answer: -r**2 - 2*r + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/5 + 40089*i\/5 - 16038.\nAnswer: 3*(i - 2)*(i + 13365)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9*s + 1 - 2*s**3 - 3*s**3 + 4*s**3 - 9*s**2. Let k be 4\/(6\/4 - 2). Is x(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*i - 216, 3*i - 161 = -0*h - 2*h. Let y be -30 + (1 - 2) + -1. Let w = y + i. Solve 5*s - s = 5*m + w, -4*s = -3*m - 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*n = -516*n + 6688 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5\/3 - 5*n**4\/3 - 2*n**3 + 4*n**2\/3 + 8*n\/3.\nAnswer: -n*(n - 1)*(n + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-27))\/((-3)\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2391*q - 33389. Determine a(14).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 69 = 3*r. Let a = 40 - r. Let d(q) = -29*q - 2. Let m be d(-3). Calculate the highest common factor of m and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/286 - 96\/52\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*v = 9, 0 = -5*v - 0 + 15. Let p(b) = -17*b**2 + 3 + 2*b**2 + 20*b - 4*b**2 - b**3. Let n be p(-20). Solve n*x + 4 = g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2, -34, 3 in decreasing order.\nAnswer: 3, 1, -2, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*o**2 - 133741*d**3*o - 16*d**2 + 3953*o**2 wrt d?\nAnswer: 12*o**2 - 802446*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*p - 15*p - 19 + 188*p**2 - 191*p**2 to u + j*p + m*p**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**2 + 66*b + 144. Let v be m(-30). Calculate the greatest common factor of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 = -y + 3*o, -5 = y - 5*o. Suppose 2*i - 4*m = 32, i = -y*i + 4*m + 12. Calculate the highest common factor of i and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.32641 years in decades?\nAnswer: 8.132641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3 - 142*k**2 + 1320*k = 0. What is k?\nAnswer: 0, 11, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c - 2*r - 149582, 5*c - 373987 = -3*r. Suppose -m + 0*m - c = -l, 4*l + 4*m - 299220 = 0. What is l rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 9:38 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2874066\/17 + 169164. Which is smaller: h or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**4\/4 - 92613*c**3\/4 + 715364685*c**2\/4 - 9256335399*c\/4 - 53562159225 = 0.\nAnswer: -12, 25, 15429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -25\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48874?\nAnswer: 2, 7, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 >= 166\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 864956618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -109, 19, 367, 1007, 2011, 3451?\nAnswer: 5399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -970 + -1.275396878\nAnswer: -971.275396878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27892 by 482.\nAnswer: 13946\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*r - r - 29443 = 0, -4*r + 88329 = 3*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pubkv. What is prob of picking 1 k and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 440 = -10*g. What is the greatest common divisor of g and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -102111?\nAnswer: -102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 384 and 576.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -6.\nAnswer: 43\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 + (-2682)\/27. Let o be 3 - (i\/(-21) + -2). Put o, 0.1, -2 in descending order.\nAnswer: o, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -793. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from ylyr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 199*n**5 - 159*n**5 + 94*n**5 + 0*n**5 - 5*n**5 + 3*n**5 + 5*n**5 + 0*n**5 - 3*n**5 + (3*n - 3*n + 2*n**4)*(-3 + 3 - 2*n) - 3*n**5 + n**5 - 6*n**5.\nAnswer: 122*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.80051 kilograms in micrograms?\nAnswer: 16800510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*t**2 - 34\/5*t + 108\/5.\nAnswer: -2*(t - 3)*(t + 54)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a**2 - 1074*a - 17074. Calculate s(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34373699 is divided by 1517?\nAnswer: 1513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -3.1. Let h = 12 - k. Let c = h - 13.999997. Round c to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 6) to base 12.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/6*12\/80.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*i + 25 = 4*o, -5*i = -o + 35. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*b = 23*b + 32*b - 4437 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13852516200 to the nearest 1000000.\nAnswer: -13853000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -77471548 divided by 308\nAnswer: -251531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1716 = -3793*b + 5075*b + 22228 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 2\/7, 30, -359, -1\/3, 0.2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**3 - 20*b**2 - 6*b. Let o = -29 - -47. Let c = -11 + o. Let t be f(c). Let m(u) = -4*u - 1. Let p(q) = -9*q - 3. What is t*m(l) - 3*p(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*s**2 + 13*s**2 + 2*s**2.\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -531.495 * -16\nAnswer: 8503.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**3 + 25*z**2 - 4400*z = 0?\nAnswer: -80, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 120 + 120)*((-5*c + 3*c + 3*c)*(-3*c + 4*c + c) + 8*c**2 - 3*c**2 - 3*c**2).\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:41 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 + 2015213311310?\nAnswer: 2015213311309.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u + 1. Let r be i(-2). Let c be 3\/r - (-1 + 0). Let q = -318 - -320. Put c, -0.1, q in decreasing order.\nAnswer: q, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*p + 1. Let s = 2.3 + -2. Let w = 0.2 - s. Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 10:53 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*j = -289*j + 540. Let w(r) = -r**3 - r + 1. Let p(u) = -6*u**3 - 7*u + 5. Determine j*w(a) - 3*p(a).\nAnswer: 3*a**3 + 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 16*b + 5. Let r(x) = 32*x + 11. Calculate 5*i(o) - 2*r(o).\nAnswer: 16*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**3\/6 + 4*b**2 + 9*b. Let f be d(-9). What is the remainder when f + (-1 - (1 + -3)) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*(20\/(-8))\/5*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 474396371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*i + 296 - 55, -3*d + 312 = 4*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 take away 2.168?\nAnswer: -2.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1518 and -89\/11550.\nAnswer: 265650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9139863 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 828 or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 82245 (base 14) to base 6\nAnswer: 10414153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -825, -1651, -2391, -3045, -3613, -4095?\nAnswer: -4491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 5*v**4\/12 + 3*v**2 - v. Let k(q) = q - 1. Let r be k(3). Let t(g) = 3 + 5*g**r + 8 + g**2 - 4. What is -7*m(o) + 6*t(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*r = -4, 51 = -3*a + 5*r + 67. Let w be a\/(-1)*19\/(-114). Find l such that 1 - w*l**2 + 2\/3*l = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(104) - 2*sqrt(104)))\/(1*sqrt(200)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 4. Let i be c(6). Suppose s - z - 39 = 4*z, i*s = -2*z + 126. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 4*u - 12428 = r, 5*r - 5*u - 12455 = 0. List the prime factors of r.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302\/233 at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-180)\/24*(-3)\/9. Let v(q) = q**2 - 3*q + 6. Let g be v(5). Let r be (-4)\/2*(-4)\/g. Put r, i, -0.1 in decreasing order.\nAnswer: i, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76179 is divided by 214.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 164.4 - 165.4. Suppose 0 = b + 4. What is the closest to 1 in a, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/16*24\/18*(-2)\/606.\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48984.\nAnswer: 2, 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -221*i - 129*i + 3*i - 3817 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -143\/6 in -3, 1\/2, 3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40327\/3 - 13443. What is the second smallest value in -0.1, -0.135, s, 5?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*58\/(-957)*(-275)\/(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, z: 9}. What is prob of sequence zz?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*g = -202*g - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212102002102 - 1?\nAnswer: -212102002103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 280445 divided by -5\nAnswer: -56089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4826 + -77157\/16. What is the common denominator of (-2)\/3 + (-1556)\/(-120) and v?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -76, -34, 202, 734?\nAnswer: 1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40017 divided by -121?\nAnswer: -40017\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2183? (a) 0.1 (b) 5 (c) -1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 8*w - 9. Let u be n(-6). Suppose 5 = -4*y + u*y. Let i = 37 + y. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z. Let s = 3.3 + -3. Let t = -5003 + 35017\/7. Which is the third smallest value? (a) z (b) s (c) 2\/3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 12. Let z = 3 + x. Let j = z + -8.00021. What is j rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 371*s. Let m(z) = 76*z - 48*z - 25*z. Determine m(t(a)).\nAnswer: 1113*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(10)\/sqrt(2)) + (-2 + sqrt(432))**2 + ((sqrt(432) - (sqrt(432) + -1 + sqrt(432))**2) + 2)*6.\nAnswer: -9926 + 313*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2 - 7122*m**3 + 3664*m + 1723*m - 1230*m + 1628*m + 2623*m wrt m.\nAnswer: -42732*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mepmwpgqw. Give prob of picking 1 q and 1 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 217, 8 in ascending order.\nAnswer: -4, 8, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + 39. Calculate the remainder when t is divided by 45.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6808 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 36 = -4*r, p + 1 = -2*p + 4*r. Suppose -3*c + 847 + 742 = -p*l, -3*c + 1603 = 2*l. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 45 = 9*b, -2*o - 53*b + 14 = -51*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 6*r = 2*m - 26, -7 = -m - r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/132 and 173\/1020?\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3 - 1) + -12 + 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*(-3*sqrt(500) + -5) - (2 + (-2 + sqrt(500) + 0 - sqrt(500)))) + 2.\nAnswer: 35 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z + 14*z**3 + 8*z + 3*z.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 15*u**2 - 27*u - 24. Determine x(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4482*a**4\/7 + 10244*a**3 + 228518*a**2\/7 + 161148*a\/7 - 144\/7 = 0.\nAnswer: -12, -3, -1, 2\/2241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -1\/60*r**5 + 2*r**2 + 0*r - 5\/2*r**3 + 0 - 13\/24*r**4. Let v be c(-10). Calculate the highest common divisor of 150 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 474*k**2 + 6*k + 3. Let x be b(5). Suppose 1509 + x = 3*l. Suppose y = 5*y - 3*s + 5951, 2*s - l = 3*y. What is y rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58294*t + 29163*t + 29180*t.\nAnswer: 49*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 69*x**2. Let l(s) = -50*s**2 + 21*s**2 + 27*s**2. What is l(u(m))?\nAnswer: -9522*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 0)*(0*q + 3*q - 4*q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_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 c be (-3)\/(-15) - (-108)\/10. Let u = c - 4. Factor 12*i**2 - 4*i + u*i + 3*i - 2*i.\nAnswer: 4*i*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -0.3, 2, -6\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)\/sqrt(20))\/sqrt(4)*3)**2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 383742*d - 383729*d + 3*d**2 + 3 - 3. Give t(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 17. Let g(q) be the third derivative of -4*q**5\/15 - q**2 + 22*q + 29. What is a(g(r))?\nAnswer: 256*r**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddduddudduudud. What is prob of sequence du?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5564*c - 18083*c - 9228*c + 5614*c)*(0 + 0 - c**2) as j*c + u*c**3 + h*c**2 + f and give u.\nAnswer: 27261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - j = -2*j - 9, -5*x + 5 = 5*j. Let w be (x*-18)\/(2\/(-4)). Suppose -3*q = q - w. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 1\/7, 2\/115?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430361 a multiple of 1410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 5*s**2 - 2*s. Let l be o(4). Find the second derivative of -79 + 2*q**4 - l*q + 79 + q**4 wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 34. Let w = l - -9. Which is greater: w or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -14*y + 3*y**2 - 20*y - 44 - 14*y - 7*y**2 = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 10*h + 3 - 10*h**2 + h**3 + h - 1 + 0. Let n be 4 + (-15)\/((-3)\/1). Is 20 a factor of w(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -223*c**4 + 91 wrt c.\nAnswer: -892*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**4 - 2*p**2 + 3*p - p**4 - 11*p**4)*(-1 + 1 - 2*p + (0*p - 3*p + p)*(0 - 2 + 0) + 4*p - 3*p + 0*p - p + 2*p + 0*p - 22*p - 8*p - 17*p).\nAnswer: 172*p**5 + 86*p**3 - 129*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) 25 (c) -2\/13 (d) -3 (e) -57 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*(sqrt(468) - (sqrt(468) + (sqrt(468) - 2*sqrt(468)))))**2 - (-1*sqrt(104)*-5)\/(sqrt(8) + (sqrt(72) - (sqrt(72) + -2*sqrt(72)))).\nAnswer: -5*sqrt(13)\/7 + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110 a factor of 170891815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 - (-181 + 191)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2045106*i**3 + 4*i**2 - 736586*i - 2 wrt i?\nAnswer: 12270636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22407722 + 45531809. Let c = 8475911 + o. Let z be -4 + -2 - -4 - c. Round z to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 17 = n, 0 = -21*c + 22*c - 3*n - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 = 5*b, -2*b = 4*u - 0*b + 2. List the prime factors of 327 + (u - -1) + -5.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7404515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 76*g + 2. Let k(y) = 4*y - 8. What is o(k(h))?\nAnswer: 304*h - 606","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34536 divided by 2.\nAnswer: -17268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((21 + -3)\/3)\/2. Let f be c\/((-2)\/((-24)\/9)). Sort -1, f, 2 in decreasing order.\nAnswer: f, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 15*b + 17. Let c(n) = 8*n + 9. Let x(a) = -11*c(a) + 6*l(a). Let y be (-18 + 18)\/((-6)\/2). Let j be x(y). Solve -z + j*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19266 by 169.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1355, 1442, 1531, 1622?\nAnswer: 1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g + 1. Let u(r) = -15*r + 3. Let o(a) = 12*j(a) - 5*u(a). Let i be o(8). Is (-6)\/i - (-1479)\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c - 4*c - 5*c**2 + 9*c + 60.\nAnswer: -5*(c - 4)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 15*c + 5*c - 2)*(1 - 1 - c**3) + 315*c - 315*c - 176*c**4 in the form o*c**4 + u*c**3 + k*c**2 + w + m*c and give o.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + 1.96. Suppose -32 = -9*k - 59. Which is the smallest value? (a) 0.2 (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6060 - -15238. List the prime factors of r.\nAnswer: 2, 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-9) + (420\/(-9))\/7. Calculate the common denominator of 11\/4 and (-28)\/32*136\/g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -563*k + 375. What are the prime factors of l(-17)?\nAnswer: 2, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -10 + 7 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*r + 162618297*g**3 - 34*g**2*r - g**2 - 58*g*r - 3*g + r + 3 wrt g.\nAnswer: -12*r + 975709782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 4. Let r be q(3). Let u(c) = c**3 - 8*c**2 + 10*c - 7. Let l be u(r). Suppose -3*i = a - 18 - l, 4*i = 5*a + 49. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36.21 - -36. Let v = -79.31 - c. What is v rounded to zero decimal places?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 713*n**6 - 2*n**2 - 1496*n wrt n.\nAnswer: 85560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 106, 246, 422, 634, 882?\n\"Answer: 18*r**2 + 86*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 926228 and 2056?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 - 56 - 11*s)*(0 + s**2 + 0).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2 + v - 7. Is i(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 876694 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, b: 2, f: 2, m: 1, a: 1, z: 5}. Give prob of sequence zbfm.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64\/11*p + 8\/11*p**3 + 128\/11 + 2\/11*p**4 - 24\/11*p**2.\nAnswer: 2*(p - 2)**2*(p + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6654 + 3.6654. What is the biggest value in -17, 19, b?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29\/7 in 0.3, -2334, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -142446333\nAnswer: -1\/47482111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13708, 20801, 27894, 34987, 42080, 49173?\nAnswer: 56266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08 and -0.15925083.\nAnswer: -0.07925083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2 - 2*y + 1. Let t = 3 - 1. Suppose -3*v = -t*v + 2. What is r(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/4401 and -11\/3423.\nAnswer: 30807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 41 + 16 = 4*m, -3*m = q + 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 920320 and 255245?\nAnswer: 3595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**3 - 70*i**2 - 75*i. Let n(h) = 3*h**2. Let b(m) = -l(m) - 10*n(m). Factor b(s).\nAnswer: 5*s*(s + 3)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1401 + 3349 = 19*g. What is the greatest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-2)\/(-6)) + (461 - 195)?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*f - 4*t, 97*f + t + 5 = 100*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111 (base 2) in base 16?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 0*l - 2*l)*(1 - 1 - 3) + 3*l + l - 2*l + (15 + l - 15)*(-3 + 3 - 1).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5211*s - 3355897. What is a(-644)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.14, 6\/44029, 8.\nAnswer: -0.14, 6\/44029, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 15*o**2 - 4*o - 3. Calculate the remainder when 46 is divided by v(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -641 - -706. Let y(d) = -d**3 - 8*d**2 - 2*d - 2. What is the remainder when u is divided by y(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.0505 + -4.0505. What is the closest to 125\/6 in -4, x, 0.5, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, j: 1, f: 1, e: 1, z: 1}. What is prob of sequence fzjk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 0*j = 379 - 2379. Calculate the remainder when j is divided by 77.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8*q + 7. Give y(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(2\/23)\/(w*(((w\/(w**(-1)\/w))\/w)\/w)\/w)**(-8))\/(w*w**(2\/19)*w*w**(5\/4)*w*w\/(w**(-6)*w)*w*w*w\/(w\/(w\/(w*w**(2\/19))))) assuming w is positive.\nAnswer: w**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 10:26 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3456 divided by -8\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 15) in base 8?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -162, -5\/2, 23?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 488 + -710. Is -222 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 21 = 11. Let k = h + -15. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.8. Let a = o - -0.49976. Round a to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0945 + 7412726.\nAnswer: 7412726.0945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -3\/26*n**4 + 1\/130*n**5 - 135\/13*n**2 - 134*n - 27\/13*n**3 + 0. Factor w(y).\nAnswer: 2*(y - 15)*(y + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(27\/(-12))*(-3)\/10.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19 - -20)\/((-1)\/(-6)). Solve 4 + 2 = 3*o + 3*l, -v = o - l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n**2 - 20*n**2 - 4*n**2 - 2*n**2 + 2*n**2 + n**2 + (3*n - n + 0*n)*(-3*n + 5*n - 4*n) + 7 - 7 + 4*n**2.\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = 14*b + 32*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 + 0.13. Let q = -0.36 + v. Let l be (1 + 21\/(-6))*2. Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 203*c**2 - 604*c + 772. Determine l(200).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/44 and -115\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 1 - 1 + (-3 + 6 - 1)*(2*u - 2*u + u) + u + 4 - 4 + (-2*u + 5*u + 0*u)*(-17 + 9 - 2) + (3 - 2 + 1)*(-2*u + 4*u + 0*u) - u - u - u.\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*l - 22*l + 17*l + l - l + 2*l + 0*l - 2*l + 4*l + (1 - 1 - l)*(0 + 0 + 1))*(1 - 1 + 2)*(0*l - 2*l + 0*l).\nAnswer: -156*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565664601?\nAnswer: 3, 53, 3557639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/2 + 8*b**4 - 57*b**3\/2.\nAnswer: b**3*(b - 3)*(b + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 161617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 11*v - 16*v - i, -3*i = -v + 6. Suppose b - 5*b - 3*r + 26 = 0, v = 4*b + 5*r - 22. Solve 3*q - 5 - b = 5*u, -5*q = 4*u + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, n: 6, j: 2}. What is prob of picking 3 t and 1 j?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6868, 19, 3 in increasing order.\nAnswer: -6868, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3133, -1946, -759, 428, 1615?\n\"Answer: 1187*s - 4320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -45*w**2 - 357*w + 35. Give h(-7).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 9\/7 (b) 1 (c) 0.1 (d) -2\/3 (e) -32 (f) -1 (g) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21187 is divided by 21184.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -2587\nAnswer: -21\/2587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1100011001111011?\nAnswer: -1100011001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 1836405. Let n(u) = 7*u**2. Determine y(n(q)).\nAnswer: 7*q**2 + 1836405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a + 80*a**2 - 7*a**3 - 80*a**2.\nAnswer: -7*a**3 - 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 m, 1 z, and 1 k when four letters picked without replacement from zzkmvukmumtk.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-250)\/(-36) - (-18)\/(-6) and ((-118)\/88)\/(6\/12).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/2 (b) -23\/3 (c) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87771079.\nAnswer: 11, 7979189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivixtgnx. What is prob of sequence niv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3139524t to kilograms.\nAnswer: 313.9524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 30078*k + 451131. What is u(-15)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2 = d, 2*q - 3*d + 8 = -2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5407 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 34*j**2 - 14*j + 4. Let x(y) = 12*y**2 - 5*y + 4. Determine 3*a(d) - 8*x(d).\nAnswer: 6*d**2 - 2*d - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5416\/3 + 1836. Let l = 391\/6 - q. Find the common denominator of ((-2)\/1)\/((-32)\/71) and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552321 (base 6) in base 5?\nAnswer: 2432123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -y - 2*o, 2*o - 132 = 4*y - 8*y. Let q = -12142 - -12272. What is the remainder when q is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3145 divided by -2105\nAnswer: 629\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -379 (base 10) in base 5?\nAnswer: -3004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1111102212121 (base 3) to base 13\nAnswer: 21b3bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, o: 1}. What is prob of sequence go?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-138)\/(2 + -1) + -2 + 4. Which is smaller: u or -134?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**3*f*p*z + 8*d**3*p**2*z**2 + d**2*f*p + 2*d**2*p**3*z - 4*d**2*z - 2*d*p**2*z + f*z**2 + 2*p**3*z**2 wrt z?\nAnswer: 16*d**3*p**2 + 2*f + 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2)*-7)\/((-3)\/(-108)*-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldmwymyyjdyyddjjmwy. Give prob of picking 2 j.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1884, 3715, 5494, 7215, 8872?\nAnswer: 10459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 75808 and -3.\nAnswer: 75805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 46)\/(720\/1008)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 - 202*r - 6. Let m(n) = -2*n**3 - 203*n - 5. Determine -5*b(z) + 6*m(z).\nAnswer: 3*z**3 - 208*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (((-1540)\/56)\/(1\/(-6)))\/(2\/250)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 31, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + ((-160)\/(-6) - -8) + 2\/(-3). Solve 4*a = 10*a - t for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116.81 - 120.81. Sort -5\/3, -6, -3\/4, n, 9.\nAnswer: -6, n, -5\/3, -3\/4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 884, -12, 0, -2 in ascending order.\nAnswer: -12, -2, 0, 884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 12:02 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4761 to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 64.11.\nAnswer: 65.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26941\/10 - 2694. Is w less than or equal to -93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13 - ((-9)\/3 + 6). Suppose 6131 + 5329 = b*m. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/116 and 73\/2.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + 2 + sqrt(4)\/sqrt(2)).\nAnswer: -12 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 122.4667+-0.0435379\nAnswer: 122.4231621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + (-5 - -11) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29b + 46809?\nAnswer: 46aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**4\/4 - 2*o**3 - 5*o**2\/2 + 64*o - 53. Let b be g(6). Calculate the highest common factor of b and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 m, and 1 x when three letters picked without replacement from {a: 1, x: 4, e: 7, m: 1}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 15. Let g = 4 + -2. Solve j = g*c + c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 4) to base 15.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**5\/40 + 5*w**4\/24 - w**3\/2 - 4*w + 3. Factor k(i).\nAnswer: i*(i - 1)*(i + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164823995 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*y - 9, -4*r - 14*y + 16*y = 4. What is the closest to -3 in -2\/7, r, -1\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12750, 5, 597, -2.\nAnswer: -12750, -2, 5, 597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165924 and 1164?\nAnswer: 16094628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -287910.21 rounded to the nearest 1000?\nAnswer: -288000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.2. Let r = 136 - 135.52. Let k = r + -0.18. What is the nearest to p in -0.5, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*73.68\nAnswer: -103.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.171*-1.\nAnswer: -0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, f: 2, s: 4}. What is prob of picking 2 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 334.3569 from -278.\nAnswer: -612.3569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z + 44. Let y be o(20). Let a = 0 + y. Suppose -2*p = a*u - 6, u = 4*p + 2 - 5. Let j(h) = -8*h**2 - 1. Calculate j(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 6*z + 9. Let l(p) = -2*p**2 - 5*p - 8. Let s(d) = -26*d - 229. Let w be s(-9). Let h be (-20)\/(-3) - (-4)\/(-6). Give h*l(o) + w*a(o).\nAnswer: -2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i + 54. Let s(j) = 4*j + 36. What is 5*d(q) - 8*s(q)?\nAnswer: -2*q - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16976967 is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8216269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/4))**3\/(h**(1\/4)\/h)**25)**(28\/9))**(-50) assuming h is positive.\nAnswer: h**(-9100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19016.\nAnswer: 2, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 354148316 to the nearest integer?\nAnswer: 18819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -6 (b) 4 (c) 0 (d) 3\/5 (e) 2\/23 (f) 3 (g) -5828\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000347 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 29*b**2 - 47*b + 60. Let u be x(31). Calculate the highest common divisor of u and 4375.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + 11 - 12 - 16.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/48 and -29\/120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {b: 1, k: 1, v: 2, x: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -175*y + 45. Let c be (-4 - (1 - (3 + 0)))*6\/6. Let v(l) = -8*l + 2. Calculate c*f(q) + 45*v(q).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 37*g + 189. What is j(-7)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.079416013 - 0.07943. What is h rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2266702389?\nAnswer: 3, 7, 383, 93941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 377402601 to the power of 1\/4, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 582 = 5*w + 4*b, -213 = 9*w - 11*w + 5*b. Let h = -40 + w. What is the greatest common factor of 296 and h?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 162 + -159. Suppose -s = t*q - 2 + 13, -4*q = 16. Which is smaller: s or 2\/93?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4367367, 4367341, 4367313, 4367283, 4367251?\nAnswer: 4367217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -348, -692, -1036?\n\"Answer: -344*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -189 - -874. What is the smallest common multiple of 20 and i?\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -25*y. Let p(m) = 29*m - 88*m + 33*m + 36*m - 3. What is p(f(r))?\nAnswer: -250*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10814 is divided by 1294?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -988*k**2 + 85920*k - 1 wrt k?\nAnswer: -1976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*x**5\/5 - 13480*x**4 - 149100*x**3 - 481880*x**2 - 2286288*x\/5 + 36576 = 0. What is x?\nAnswer: -6, -3, -2, 2\/27, 635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = 65*l - 91*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 + 4.94. Let d = 15.1 - 15. Let o = -0.364 + -0.036. Which is the nearest to 2\/7? (a) o (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 3*b - 1. Let c(r) = -15*r**2 - 15*r + 2002. Let v(s) = -c(s) + 5*z(s). Differentiate v(n) wrt n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3599 and -0.878.\nAnswer: -3599.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(75) + ((-1 + sqrt(75) - sqrt(75)) + -1)**2 - (0 + 1 + sqrt(75))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxexxwp. Give prob of sequence ww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 510843 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: List the prime factors of 960082204.\nAnswer: 2, 240020551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -258 or -315?\nAnswer: -315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.2. Let x = -3.08538 + 0.08538. Let b = -4.4 + 0.4. What is the closest to s in b, x, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-40))\/((-2)\/384). Suppose n = -17*o + 20*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, e: 2, v: 2, t: 1, m: 1, s: 1}. Give prob of sequence tlmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/44274 and 73\/1269?\nAnswer: 398466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.61, -3, -137719?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 21*l**3 - 8*l**2 + l - 9. Let b(u) be the third derivative of u**6\/24 - u**5\/30 - u**3\/3 + 8*u**2. Suppose -4*m = -3 - 5. Give m*z(i) - 9*b(i).\nAnswer: -3*i**3 + 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 12 = f - 2, 0 = f - 4*o - 8. Solve -s = 2*c - 13, c = -4*s - f*s + 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-918)\/117 - -8 - 76\/(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19\/(-42) - (-126)\/252. Suppose -3*d + 2 + 1 = 3*b, 11 = 4*d - 3*b. What is the nearest to -1 in 4, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + -8 + 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6131 or -6130?\nAnswer: -6130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 20*g - 648. Does 8 divide d(60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/9? (a) 0 (b) 0.1 (c) -1 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 179761 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 2\/3, -3\/44, 8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.4 - 35. What is the fourth smallest value in 6, -0.2, r, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 9:49 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/10)\/((6\/1)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -257574 + 257754. Suppose -5*y + n + 303 = 0, 0 = y + 2*n - n - 57. What is the highest common divisor of y and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 165675765 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 186 divided by 1177806\nAnswer: 31\/196301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 389 = 95. Calculate the greatest common divisor of 539 and i.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -9. Suppose 0 = t*a - 15 + 5. Is a > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10436.8 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t. Suppose t = f - 3. Put f, 0, -2 in decreasing order.\nAnswer: f, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 32. Suppose i = 2*w - 217 + 85. Let y = 15 + -9. Calculate the greatest common factor of w and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1, 0.5, -117\/4, 0.24 in descending order.\nAnswer: 1, 0.5, 0.24, -0.4, -117\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-2))**41)**(-1\/13))**45 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 0*o**2 + 0*o - 35\/4*o**4 + 21 - 22\/3*o**3. Find the third derivative of x(y) wrt y.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00032457955 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 2041?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25161 + -2?\nAnswer: -25163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.5, -2\/7, 40, -1\/11, -5, 8, -4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 61*g - 3. Let k = 3 + -1. Let q be f(k). Suppose 1 = 5*b - q. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 2)*(-8)\/12. Suppose -10 = -3*j - 2*j - i*n, n - 10 = -5*j. Let z be 1\/(-2)*-2 - 0. Calculate the greatest common factor of z and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/(-8) + (170 - 161).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.0499 - 0.0499. Let v = -0.08 - -0.88. Let z(m) = 2*m**2 + 59*m + 26. Let d be z(-29). Sort -0.1, l, v, d in ascending order.\nAnswer: d, -0.1, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -27. Suppose -h = -b, -g*h - h = b - 6. Sort -3, h, -1 in descending order.\nAnswer: h, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u + u - u + (1 + 1 + 0)*(u - 2 + 2) - u + 0*u + 0*u to the form a + p*u and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-2)\/(-2 - -4)). Let s be (-6)\/(-2)*(q + 0). Let z = 6 - s. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*27\/(-3240)*30.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 1. Let y be 1\/(12\/(-18))*-2. Let z(j) = 6*j + 3. Give y*z(m) + 9*v(m).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011011011100 (base 2) to base 16.\nAnswer: -66dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 59667 (base 10) to base 11\nAnswer: 40913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -s - 4*a + 313, -5*a = -4*s + 1271. Let i = s - 299. Which is bigger: i or 18?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -979 divided by 20481\nAnswer: -979\/20481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 1, n: 1, o: 1, d: 1, x: 2}. What is prob of picking 1 h, 1 x, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7639, 15271, 22905, 30541, 38179, 45819?\nAnswer: 53461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a8 + -63?\nAnswer: -34b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.4, 34, 0.2, 0.06, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t - 8. What is o(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 3*y - 3*y + (-1 - 1 + 0)*(-3*y + 4*y - 3*y) + y - 7*y + 3*y to p*y + b and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5*l - 131, -62 = 5*t - 2*l - 332. Suppose -4*f + 4 = -t. What is the remainder when 55 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 718, 709, 688, 649, 586, 493, 364?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -1\/12*m**4 + 1\/5*m**5 + 0*m**2 + 0 - 2*m + 0*m**3. Find the third derivative of x(s) wrt s.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hahr when four letters picked without replacement from {t: 8, i: 3, h: 2, a: 2, r: 2, l: 2}?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 20496733.\nAnswer: 40993466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71945577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let f = 2.19 + -0.29. Let c = f - r. Do c and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(133)\/(sqrt(175) + sqrt(7)))**2 + (-5 + sqrt(133)\/(sqrt(7) + (sqrt(7) - sqrt(7)*-2)) + 2)**2.\nAnswer: -sqrt(19)\/2 + 269\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 20 = 8*s. Let i(j) = j**3 + 5*j**2 + 6. Let l be i(s). Suppose -l*m = -25 - 59. What is the remainder when 35 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*k + 137 - 137 + 69*k - 36*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 50 - 20 = 0. Let r be l\/4*46\/207. Determine j so that 0 + r*j**2 + 0*j - 1\/3*j**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/9*81\/(-6). Calculate the greatest common factor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*f - 25 = -5, 0 = 3*j + f - 8. Let t(q) = 25*q**2 + 11*q - 30*q**j + 4*q**2 - q - 9. What is t(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 25 + 4 - 3918*m.\nAnswer: -3918*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 - 39. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -5\/8 (b) 4 (c) 0.01 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**6 + 9*g**5 + 1204*g**4 - 258474*g**2 wrt g?\nAnswer: -240*g**3 + 540*g**2 + 28896*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2101 + 2292. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15337004 is divided by 15650.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, -1, 41, 145, 335, 635?\n\"Answer: 4*m**3 - 5*m**2 - 9*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14064 divided by 4688.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 4*l**2 - 5*l - 2. Let d be 1\/((-5)\/(-4))*-5. What is the tens digit of k(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 3 + 3)*(-2*s**2 + 0*s**2 + 4*s**2)*(0 + 0 - 1 + (4 - 3 + 0)*(3 - 1 + 0) + 0 - 1 + 0 + 3 - 4 + 4) in the form l*s**2 + f + u*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 85\/(-102) + (-140)\/(-24). Let d = -46 - -66. What is the second derivative of 7*h + d*h**i + 0*h**5 + 5*h wrt h?\nAnswer: 400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2 + 85602*y + 2223624 = 0. What is y?\nAnswer: -28508, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**4 - 2*o**3 + 344*o - o**4 + 4*o**4 + 17*o**2 - 337*o - 5*o**4 as v*o**2 + r*o**4 + q*o + w + d*o**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, m: 2}. What is prob of sequence mcm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v**2 + 3*v - 10. Give t(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1008) + 5)*1 - (sqrt(14) + (5*sqrt(168) + sqrt(168) - sqrt(168))\/sqrt(12))\/sqrt(2)*3.\nAnswer: -6*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 21. Let s(o) = -4*o**2 + 3*o + 1. Let c(i) = 4 - 2 - i**2 - 6*i**2 + 5*i. Let m(r) = -3*c(r) + 5*s(r). Give m(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 371 or 374?\nAnswer: 371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -25.6. Let h = -0.3 - -0.3. Which is the nearest to h? (a) -0.1 (b) 2\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*d**2 - 1 - 14*d**2 + 6 in the form r*d + c + x*d**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 3 = n. Suppose 0 = -3*t + 2*m + 65, -2*m - 115 = -4*t - n*m. Suppose -b = -4*d - t - 2, -108 = -4*b + 5*d. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76566 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*r**4\/2 - 180*r**3 + 102*r**2 + 72*r = 0. Calculate r.\nAnswer: -2\/5, 0, 6\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + 1*sqrt(57)*-4)\/(1*(sqrt(27) - sqrt(3))).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 7:38 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 838 = 2242. Does 49 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((6*(sqrt(153) + -6*sqrt(153)*-2 - sqrt(153)))\/(-4*(sqrt(144) - sqrt(9)) - sqrt(1296)*1))**2.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/42 and 133\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from biizcczcb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b*b*b*b*b**(-6)*b)\/b)\/b))\/b**(-1\/2)*b*(b**(-6\/7)*b)\/b*b*b**(3\/2) assuming b is positive.\nAnswer: b**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1065 and -133246\/125 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223174 is divided by 55.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*t + 11*t - 38*t + 364. Sort t, -95, 5 in increasing order.\nAnswer: -95, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 370 (b) 0.5 (c) -7\/3 (d) 1 (e) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85728.88 litres to millilitres.\nAnswer: 85728880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(190) - (sqrt(190) + (sqrt(190)*-1 - sqrt(190))))*-6 + (5*-2*sqrt(190) - sqrt(190))))\/((-5*sqrt(120)*-2)\/(sqrt(300)*-2)).\nAnswer: 23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*w + 514 + 710 = -1458 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59265 and 1104963.\nAnswer: 49723335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -19. Let g = 9.5 - y. What is the nearest to g in -3, -2\/11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-30) + 2\/(-5). Sort -0.5, -2, n in descending order.\nAnswer: n, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00053 plus 55022?\nAnswer: 55022.00053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 7*t**2 + 41*t + 41. Let h be i(-11). Suppose -5*a + 6*a - 37 = 0. Calculate the highest common divisor of a and h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*k**2\/11 + 2*k\/11 - 120\/11.\nAnswer: 2*(k + 3)*(7*k - 20)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8903*n. Let v(i) = 2*i**2. What is v(q(f))?\nAnswer: 158526818*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 20. Let y be u(0). Let d = y + 25. Let n = -1 + 5. Solve 0 = 2*q + n*j - 10, 0 = 5*j - d - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5855222 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.56 - -1.659. Let s = m - 0.0989949. What is s rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30491.\nAnswer: 30491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 909\/(-12)*2 + 1\/2. Let s be l*(-2)\/(-14) + 9\/(-21). Let c = s - -28. What is the highest common divisor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 6:48 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3197\/729 or -2\/3?\nAnswer: 3197\/729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115434 (base 6) in base 14?\nAnswer: 3a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*j - 15*j - 20*j**2 - 10*j**2 + 434*j**2 as k*j + l + m*j**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by -14.\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, 0.1, 2\/11, -40 in increasing order.\nAnswer: -40, -4, 0.1, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 2:04 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4131 and 740418?\nAnswer: 59973858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2650*s + 2725 = 1967*s + 35985 + 54463 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**3 - 3*p**3 + p**3)*(2*p - p + p) + (2 - 2 - 3*p)*(3*p**3 - 10*p**3 + 15*p**3) to the form q*p**2 + y*p + m*p**3 + f + b*p**4 and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5690530 to the power of 1\/2, to the nearest integer?\nAnswer: 2385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + r + 153 = 4*x, -x = -r - 33. Let d(p) = 2*p**2 + 8*p + 6. Let o be d(8). Suppose -o = -4*b - 18. What is the highest common divisor of x and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924356 equal to 1924357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -470, -472, -474, -476, -478?\n\"Answer: -2*r - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4 = -5*c - 2, -3*r + 2*c = -10. What is the first derivative of -4 - 15*j**r - 3 + 3*j**2 wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150 + -117. Suppose 0 = 5*z - 10, -406 = -p - p - 5*z. What is the highest common factor of w and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*f + 8*f. Let a be (f\/(-9))\/((-3)\/(-45)). Let o be 102\/2*1\/3. Solve -3*w - a + o = -k, -20 = k - 5*w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6)*-2 - (-22)\/(-66)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -4d?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39.08 + -47.08. Which is the nearest to m? (a) -4 (b) -4\/7 (c) 24\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140760 + 260760. Round n to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -13411\/5112?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6937 + 15431 = -382*u - 7932 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 5:03 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-56) - 18\/(-14)) + -1. Let n = -6 + 8. Suppose n*d = -p*d + 14. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463088515699 + 2*r**2 + 463088515699 + 2*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 - (12 + -84 + 45).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 441553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 264 = j + 321, -3*j + 53 = -4*h. Sort 8, h, -4 in descending order.\nAnswer: 8, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 55*w**4\/12 + 114*w**2. Let t(k) = k. What is t(d(y))?\nAnswer: 110*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 1\/8, 1033, -0.072, 3\/4?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(245) + (sqrt(50)\/sqrt(40) + sqrt(5))**2 + 2 - ((sqrt(10)*2*2)\/sqrt(2) + -4).\nAnswer: -11*sqrt(5) + 69\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 5*j + 19. Determine k(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1297222, -2594497, -3891770, -5189041, -6486310, -7783577?\n\"Answer: l**2 - 1297278*l + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1336*u**3 - 563*u**2 wrt u.\nAnswer: -8016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 46, 66?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**3 + 4*m**3 + 22*m**3 - m**3.\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 83*h - 335. Let s be f(4). Suppose 0 = -5*t + 3*t + 120. Let u be ((-3)\/5)\/(s\/(t\/2)). Calculate the greatest common factor of 21 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from oovzqzqzozqvzoozzoz?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 219969.\nAnswer: 2\/219969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + bbba?\nAnswer: bbba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3109, 3097, 3081, 3061, 3037?\n\"Answer: -2*j**2 - 6*j + 3117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 3)\/1*1. Suppose 44 = 4*v - z. Suppose -10*u = -v*u - 2. Let c(o) = -2*o - 2. Give c(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in -2, 0.09, 0, -5, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 77 - 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -33*z + 36*z + 4*f, -f - 22 = -5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 14}. What is prob of picking 2 b and 1 m?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = g - 272, 3*k - 32 = -41. Let z = g - 148. Does 51 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-2 + sqrt(200))*3)**2 + 0 - (2*(sqrt(2) + sqrt(8)\/sqrt(4) + -5)*-4)**2).\nAnswer: -552 + 1840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3427052548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 3)*(-975)\/12. Suppose 6*d - d = l. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*q - 14*q. Solve q = -4*g + 7*g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 933472?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4412, -39, -26 in increasing order.\nAnswer: -39, -26, 4412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**6\/6 - 5*p**4\/6 + 5*p**2\/2 - 2*p. Let a(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63047182?\nAnswer: 2, 11, 107, 26783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 - 2*a + 4*a**3 + 22*a**2 - 4*a**3 + 4*a in the form q + i*a**3 + n*a**2 + l*a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/4, 1381, -0.147 in descending order.\nAnswer: 1381, -0.1, -0.147, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*((-2)\/7 - (-220)\/231). Does 31 divide (-2)\/16 + s\/(48\/1035)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w - 14. What is n(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 3:08 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 10*y - 5. Let h = 20 + -11. Let q be l(h). What is the derivative of -w**4 + w**4 + 5*w**4 + 0*w**q - 3 wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -485*d**3*h**3 + 10*d**3*h**2 + 53*d**2*h**3 - 2*d**2*h**2 + 2*d**2*h - d*h**3 wrt d?\nAnswer: -2910*h**3 + 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4209937670 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1890652761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 - 5*y - y**3 - 7490*y**2 + 7490*y**2.\nAnswer: 4*y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335659*o + 335635*o = 161688. Is -6740 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -220, -9, -6, 0.2, -1, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*(-4 + -2*(sqrt(20) - (1 + sqrt(20))) + (1 + sqrt(80) + sqrt(5) + -3)**2)*-6.\nAnswer: -4572 + 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 366680 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5039 + 5?\nAnswer: -5034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*k + 3*k - 4*y, -3*k + 5*y = -9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*j**2 + 297*j**2 - 74*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 r when four letters picked without replacement from rzvvvrroggv?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**9)**(-21)*(f**(1\/4))**(-1\/2) assuming f is positive.\nAnswer: f**(-1513\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millennium in years?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53537*u**2*v**3 + 6*u**2*v**2 - 517*u*v**3 + 178*u*v + v - 10048 wrt v?\nAnswer: -321222*u**2 - 3102*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19250?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6254 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5167470?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6\/11, -2\/5, 2?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + 1.03. Is -0.053 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/490*-24*7\/(-56).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212221301 + -13?\nAnswer: 212221233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (50\/4)\/(2\/4). Let k = n - -34. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4.5. Let m be (-2)\/(-17) - 261\/51. What is the smallest value in -1\/7, r, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.301 * -0.00839\nAnswer: -0.00252539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 47. Let z = 3 + -2. Which is the nearest to j? (a) -4 (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -3*g**2 - 1\/24*g**8 + 2\/15*g**5 + 7\/30*g**6 - 7\/12*g**4 + 0 - 2\/3*g**3 + 0*g - 2\/105*g**7. Determine o, given that t(o) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v + 24 = -16*v. Put -1\/4, -0.02, v in decreasing order.\nAnswer: v, -0.02, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -119*o - 769. Let q be x(-7). Calculate the greatest common factor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1084377 (base 9) to base 8\nAnswer: -2172626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j**3 - 2*j**2 + 3*j. Let f(l) = -3*l + 2*l - 2*l**2 + l**2. Let p(z) = -3*f(z) - w(z). Find the third derivative of p(h) wrt h.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 136931746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9351.037ng in milligrams?\nAnswer: 0.009351037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24282.16 and 0.0843573.\nAnswer: 24282.2443573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 625*f*g**2*r - 48955*f*g**2 - 1847*f*g*r + 2*f*g + 3636*r wrt g?\nAnswer: 1250*f*r - 97910*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5644 is divided by 209.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4861458810 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 30 = 3*y, 0 = -4*y - 202*b + 203*b - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 119070 - -2?\nAnswer: 119072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24297, 48641, 72983, 97323?\n\"Answer: -j**2 + 24347*j - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1247\/900 + -2\/25. Find the common denominator of 63\/40 and d.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201967561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/5 - 4\/5. Sort -2, 0.5, q, 3\/2.\nAnswer: -2, q, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.512 and -50.3?\nAnswer: -25.7536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43072 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*h + 2*h = 1312 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1722799*k**3 + 14*k**2 + 36*k**2 - 861401*k**3 - 861408*k**3.\nAnswer: -10*k**3 + 50*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1735\/34 - -51. Let s(u) = -u**3 + 3*u. Let g be s(0). Is k at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {x: 9, j: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:51 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5d4 - -4b8?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35988, 71881, 107774, 143667, 179560, 215453?\nAnswer: 251346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhtv when four letters picked without replacement from tdhzhmhhhmhzmddmvhd.\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1844466*j**3 + 79*j**2 - 301555039?\nAnswer: 5533398*j**2 + 158*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10319785*x**3 + 7049388 wrt x?\nAnswer: 30959355*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 993, -9, 360 in decreasing order.\nAnswer: 993, 360, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2640*j - 10954 + 37774 = -340*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10011100 (base 2) to base 15\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963*z - 5009 - 28514 - 9890 - 2811 = 0 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.196 less than or equal to 0.69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -806, 28, 4, -7 in descending order.\nAnswer: 28, 4, -2, -7, -806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1152 and 7632.\nAnswer: 61056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*m + 179*m**2 + 158*m**2 - 120*m**2 + 2 + 166*m wrt m.\nAnswer: 434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2455 divided by 1.\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2*sqrt(1539))*-6*3*6*-4)**2.\nAnswer: -6718464*sqrt(19) + 1149043968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8970, 31597, 54220, 76839, 99454?\n\"Answer: -2*f**2 + 22633*f - 13661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1891100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1432425*w + 531253.\nAnswer: 1432425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**3 + w**2 + w. Let d be x(-1). Does 14 divide 148\/d + 4\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecwmnone. What is prob of sequence won?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z + 2. Calculate the lowest common multiple of r(-6) and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niimrqnqnnmqqrrnqnnn. What is prob of sequence ir?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -88*m + 2. Let s(g) = -45*g + 1. Calculate 3*p(n) - 7*s(n).\nAnswer: 51*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -7.4439, -2620.\nAnswer: -2620, -7.4439, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*a + 8*a - 9*a)*(-90*a - 55*a - 62*a) in the form s*a + h + p*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 6:10 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 1:50 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - -2055?\nAnswer: 2037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11386 - 3004. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 10*s + 1. Let f(n) = 3*n. Let a(v) = 7*f(v) - 2*y(v). Determine a(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/121476 and 79\/1920402.\nAnswer: 733593564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1772 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2494, -19895, -67118, -159073, -310670, -536819, -852430, -1272413?\nAnswer: -1811678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*k + 2*k. Suppose -8*z + 4 = -12. What is the smallest common multiple of k\/(-18) - (-29)\/9 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 15*w + 20. Suppose x + 4*r + 10 = -22, 4*r = x. Let p be a(x). Solve -m = 4*m + p*y + 5, 3*m = 2*y - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*n - 70 = -48*n + 15*n. Suppose -9 = -3*k - 3. Which is the nearest to n? (a) -14 (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3202423 - -10?\nAnswer: -3202413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - v. Let z(o) be the first derivative of 10*o**3\/3 - o**2 - o - 6662. What is s(w) - z(w)?\nAnswer: -9*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22537 is divided by 256.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -d + 17, -4*s + 2*d - d + 43 = 0. Suppose -4*u - 8 = 12*i - 10*i, u + 2 = -5*i. Solve s*c - 12*c - 2 = i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 21*s**3 - 7*s**2 - s + 7. Let q(x) = x**3 - x**2 + 1. Let u(g) = l(g) - 6*q(g). Give u(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + 4 + -8 - 0) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9731211 and 10092?\nAnswer: 2523","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (16\/((-288)\/162) + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 2*b + 3*b)*(2 - 2 + 4)*(b + 0*b - 2*b)*(16*b - 7*b + 6*b) as y*b**2 + m*b + z + q*b**3 and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 2*o - 1. Let p be w(1). Let d be (-2)\/27*p\/4. Let b = d - -11\/54. What is the second biggest value in b, -1, 2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + 36. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 267438*i**2*n**2 - 216*i + 294*n**2 wrt i?\nAnswer: 534876*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15005 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3\/10 (b) -1 (c) 0.23 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0 = 24. Let z(c) be the third derivative of -c**5\/60 + c**4\/3 - 7*c**3\/6 - 9*c**2. What is the units digit of z(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9497 - 9507.085. What is n rounded to one decimal place?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times -79764?\nAnswer: 1515516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3 + h**2 - 184*h + 896 = 0. What is h?\nAnswer: -16, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -150 + 3659\/24. Find the common denominator of f and -67\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 11\/9, 0.1, 4 in decreasing order.\nAnswer: 4, 3, 11\/9, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-10)*(-11)\/((-363)\/55). Which is the nearest to w? (a) 0.1 (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**5 + 392*k**4 + 8036*k**3 - 8432*k**2 = 0.\nAnswer: -68, -31, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.9 times 0.172?\nAnswer: -2.5628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 5*w + 3. Let a be s(5). Suppose 9 - 3 = a*c. Factor -2*x**2 - x**c - x + 3*x + x**4.\nAnswer: x*(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqy when three letters picked without replacement from {q: 4, s: 2, y: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -867 + 863. Suppose 3*u - 4*g + 2 = 0, 0*u + u - 12 = -5*g. Is 7 a factor of u\/(m + 138\/33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.5 - -8.5. Which is the nearest to z? (a) 2\/19 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 16 = -0*i. Suppose -5*h = -y - 1263, -i*y - 1017 = -4*h + y. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let a(w) = -2*w**3 + 15*w**2 - 6*w - 6. Let g be a(7). Let y(f) = 0*f - 5*f + 4*f. Let x(b) = g*k(b) - y(b). Let j(c) = c**2. Determine j(x(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 9*a**2 + 5*a - 1. Let w = -5566 + 5659. Calculate the remainder when w is divided by o(-10).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26796 divided by -638.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 7*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + v + 1. Let d(c) = -2*c + 5. Let k(i) = i**2 - 5*i + 15. Suppose 5*s + 59 = -26. Let n(b) = s*d(b) + 6*k(b). What is 4*g(u) - n(u)?\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (123 + -10)\/(2 - 1). Let y = r + 41. List the prime factors of y.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**3 - 9*o**2 + 5*o - 2. Let x(w) be the third derivative of -w**6\/60 - w**5\/12 + w**4\/8 - w**3\/6 + 42*w**2. Determine -3*p(z) + 5*x(z).\nAnswer: -z**3 + 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 387539 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 10. Suppose 2*w - 108 - 34 = s. Let f(q) = q**3 - 5*q**2 + 4*q - 2. What is the remainder when w is divided by f(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 44 = -k - 2*k, 2*k + 8 = 2*x. Let u(g) = -2 - 23*g**2 - 7*g - 15 - 13*g**2 + 74*g**2 - 17*g**2 - 20*g**2. Determine u(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1328 - 1282 - 876)*(0 - 4*o**3 + 0).\nAnswer: 3320*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14987101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2)*(4 + (-224)\/50)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*c = -40*c + 1408. Let n = 288 + c. Suppose b = -u + 2*b + 19, -u - b = -9. Calculate the greatest common factor of n and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 2)*-102 + 1. Let u = 153 - f. Suppose 0 = 3*y - u - 37. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1944*k - 33138. Determine m(-17).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -34.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -28831 (c) -1238 (d) -5 (e) 1 (f) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -372185814 by -43978.\nAnswer: 8463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-146)\/(-584)*(-4)\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42867\/127855 - -23\/1405. Calculate the common denominator of -55\/104 and m.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(66) + 2*sqrt(66))*4)\/sqrt(6) + (sqrt(110)*-2*-2)\/((sqrt(70)*2)\/sqrt(7)).\nAnswer: -46*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g + 19. Let u(i) = 9*i - 15. Let o(f) = 26*f - 39. Let h(m) = 4*o(m) - 11*u(m). What is 9*h(y) - 4*q(y)?\nAnswer: y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001425 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184 - 150. Suppose 56 = f + 5. What is the highest common factor of f and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15217105999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.11594 or 2\/477?\nAnswer: -1.11594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*j = -j. Solve j*d = -2*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 62, 101, 166, 263, 398, 577, 806?\nAnswer: 1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4 + 4. Suppose w + 4*t - 35 = 0, -p*t = 2*w - t - 91. Let z = w - 12. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**4\/42 + 2*k**3\/21 + k**2\/7 + 2*k\/21 + 6. Find t, given that v(t) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/36)\/(-40*155\/1984*13\/(-60)).\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/3 - (-12)\/3. Let t(s) be the second derivative of -s**7\/2520 - s**6\/144 - s**4\/6 + 3*s. Let k(m) be the third derivative of t(m). Calculate k(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 3*d + 2. Let x be w(-2). Suppose x*b - 4248 = 2*k, -2*b - k + 1045 = -1075. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**5\/20 + 4*g**4\/3 - 4*g**3\/3 - 9*g**2\/2 + 10*g - 5. What is the remainder when k(-16) is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**2 + 38375*k + 9294250 = 0.\nAnswer: -235, 7910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 849632.6l?\nAnswer: 849632600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.473+-1045\nAnswer: -1044.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*h**3 + g**2*h + 4638*g**2 + 2*g*h**3 - 517*h**3 + 2 wrt h?\nAnswer: 6*g**2*h + 12*g*h - 3102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -676a6 (base 11) to base 9.\nAnswer: -158384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -774 + -3?\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 44*y**2 + 3*y - 134. Let d be o(44). Let s(l) = 1. Let r(p) = p - 5. Let a(q) = 4*r(q) + 22*s(q). What is a(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24 (b) 28 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/561 and (580\/(-3825))\/((-80)\/200)?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 103*s**2 - 292*s - 148.\nAnswer: (s - 37)*(s + 2)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*(-5*(sqrt(125) + -5)**2 + ((sqrt(500) + -1)*2)**2).\nAnswer: -3764 - 510*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385347 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6422?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(4\/(-34) + 13222\/7480) - -6. What is the closest to -2\/5 in 2\/3, -4, w, -22?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4220\/12)\/((-147)\/252). Which is smaller: -604 or v?\nAnswer: -604","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29526500 rounded to the nearest one hundred thousand?\nAnswer: 29500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 j, and 2 s when four letters picked without replacement from {o: 3, w: 3, z: 3, u: 1, s: 1, j: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3*n + 18, -n + 10 + 0 = 3*b. Let l(r) = -r**3 + 5*r**2 - 4*r + 2. What is the remainder when (-102)\/(-9)*3\/b - 3 is divided by l(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.837436 minutes to microseconds.\nAnswer: 110246160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2190 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: Does 4 divide 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmhuhugfmhmhhmmhgguu. Give prob of sequence hm.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 6:31 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/5)\/((-5)\/25). Let c = 34 - 19. Suppose 0 = -f - 4*f + c. Put -5, b, f in descending order.\nAnswer: f, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312818952 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (-51)\/(-12))*-148 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 46 = -224. Suppose 5*c = c. Suppose c = 3*h - 9 - z. What is the highest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*v = -8, b - 2 = 3*v - 0. Let q be ((-1)\/b)\/(3\/(-12)). Solve q*f + 3 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -952992678022 minus 0.2?\nAnswer: -952992678022.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1103311022 + -123?\nAnswer: -1103311211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r - 16*r**2 - 29*r + 20*r**2 to g + h*r**2 + y*r and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*q - 13 = 0, 4*i - 2*q = -0*i + 6. Let v = 5 + i. Suppose -3*s + 5*n = 23 + v, -n + 8 = -s. Sort 3, s, -2 in decreasing order.\nAnswer: 3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235847363 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000038503929 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/180)\/(18\/(-15))*(-5)\/55?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -34*v - 230. Is 13 a factor of p(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 2150 = 34072. Suppose -9*u + h = -500. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10\/13 - 4\/39. Let z = 8 + -5. Which is smaller: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33)\/(-3) + -2 - 3. Suppose 9*s = 4*s + q + 46, 4*q = s + l. Suppose -2*a + c - 5*c = -s, -5*a = -c - 25. Put 0.1, a, -1 in decreasing order.\nAnswer: a, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*l - 263, -2*p + 92 = 2*l - 24. Suppose 0 = t + u - l, 3*t - 65 = 2*t + 4*u. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*i + 100. Solve -v + 24 = -5*x, -3*v - 2*x = -7*x - i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 10211?\nAnswer: 10204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11006851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 49*k**3 + 3*k - 2. Let s be j(1). Suppose 3*d - 5*g - s = -3*g, 4*g = 2*d - 20. Solve 0 = -3*i - 5*n + 3*n + 25, -d = i - 5*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2\/3))\/k)**(-4\/25))**38*((k\/k**(1\/2))**(-6\/19))**(-50) assuming k is positive.\nAnswer: k**(17026\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 4)\/((-1)\/19). Let h = y + 122. Let n = 180 - h. What is the highest common factor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 21294.\nAnswer: 21294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*v**3 - v - 2079.\nAnswer: -12*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15286429939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -275*q - 433114 + 439989 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 17*l + 30 - 30)*(6 + 8*l**2 - 6) to the form k*l + b + d*l**2 + y*l**3 and give y.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10033 + -10033. Let n = -6.4 + 1. Let g = 4 + n. Is q smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40027?\nAnswer: 13, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*x**2 - 4 - 37*x**4 + 2*x**4 + 94*x**2 wrt x.\nAnswer: -840*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1577, 4, -4\/5, 5, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -2 - (74\/(-2) - -1) and (1\/3 - 3)*-6?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 217*b - 34055. Calculate w(157).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 + 15*q + 3. Let m(f) = 220*f**2 - 30*f - 13. Let h(p) = -309*p**2 + 45*p + 19. Let j(l) = 5*h(l) + 7*m(l). Determine -5*j(c) + 6*s(c).\nAnswer: c**2 + 15*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.2987 + -3.132. Let p = -0.0333 - v. Sort -2, 2\/9, p in descending order.\nAnswer: 2\/9, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55346427*o**2 + 684589987?\nAnswer: -110692854*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1833029442?\nAnswer: 2, 3, 31, 3284999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1338, 1343, 1352, 1365?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**3 + 1424888*x**2 - 31348262*x + 172416772 = 0.\nAnswer: -712466, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 991885 - 644480. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5))**(2\/85)\/(h*h**(2\/3)*(h**4*h)\/h)*(((h\/(h*h*(h\/(h\/h**(-4)))\/h))\/h)\/(h\/h**0))\/(h**(1\/4)\/h*h*(h\/(h*h**1\/h*h))\/h) assuming h is positive.\nAnswer: h**(-9751\/5100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -848602, -1697419, -2546448, -3395689?\n\"Answer: -106*a**2 - 848499*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.1 + 2.1. Suppose -885 = -4*y + 3*s, -666 = -3*y + 10*s - 7*s. Let f = -225 + y. Put f, -2, b in descending order.\nAnswer: b, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 280994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c - 14*c**3 + 0*c**3 + 4*c**3 + 16*c + 0*c**3 + 35*c**2.\nAnswer: -10*c**3 + 35*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 58399 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ititioszi. What is prob of picking 1 i and 1 z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -6 - -2 - -1. Suppose 4*l = u*l + 28. Let y(m) = m**2 + 8*m + 9. Let z be y(l). Solve -z = p + 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*s)*(-2 + 1 + 4) + 10*s - s - 5*s to d + u*s and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 2*j**5\/15 - j**4\/3 - 2*j**3\/9 + 2*j**2\/3 + 8. Factor q(i).\nAnswer: 2*i*(i - 2)*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**3 + 4636699*n**2 - 4636699*n**2.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.21? (a) -1\/9 (b) 641 (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8366032 + -0.6366077. Let h = -0.21 + 2.41. Let i = x - h. Round i to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 7*k**2 + 2. Let y be o(7). Sort 1, 0, y in decreasing order.\nAnswer: y, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669513.\nAnswer: 3, 13, 17167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2 - 5*b + 0*b**2 - 3*b**2 + 2*b**2. Let l = -13 + 9. Let c be u(l). Solve 5*r - 7 = -c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6)*339\/(4 - 3). Let p = h + -117. Which is the closest to -2? (a) 5 (b) 0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 20*j - 221*j**3 - 11*j**2 + 10*j**2.\nAnswer: -221*j**3 - 20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 31432?\nAnswer: 31422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-4)*(-884)\/238 + (-534)\/1068.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105658 is divided by 852.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 207 = 4*p. Suppose 0 = -d + p + 21. Suppose -i - 4*i = -d. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.261 from -4.\nAnswer: -4.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t + 3. Let n = 105 - 98. Let v(u) be the first derivative of -4*u**2 - 4*u - 9. Give n*j(h) + 6*v(h).\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*h + t + 3*t, -3*t + 15 = 0. Let d = 2\/1207 + 2300\/68799. Which is smaller: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-1 - -2)) + 6 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 480.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 9 + 25. Let y(m) = m**2. Let a(d) = 9*d**2. Let j(z) = t*y(z) + a(z). Let w(r) = -r**2. Give w(j(l)).\nAnswer: -25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1996.3809ms?\nAnswer: 0.033273015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-86)\/(11\/(-22) + 6\/4). Let h = r - -8. Let o be (-6)\/(-4)*h\/(-9). Calculate the greatest common divisor of 117 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*k - 10 = 0, 5*t + 4*k + 0*k = -26 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*o**2 - 3*o**2 - 16*o**2 - 430*o**3 - 2 + 230*o wrt o.\nAnswer: -2580*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027 less than 165?\nAnswer: 164.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1326 - -1204. Suppose -5*y - 349 - 136 = 0. Let s = y - o. Solve 3*v = 5*f + 1 - 6, 5*v = s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, q: 6, g: 4, j: 1}. What is prob of picking 2 q and 2 r?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -24?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - ca3a?\nAnswer: -ca38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2 + (1 + 1 - 3)*(-4 + 9 + 13))*(-2*o**2 - 5*o**2 - 5*o**2).\nAnswer: 228*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17.70513t?\nAnswer: 17705.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13726 or -13724?\nAnswer: -13726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.6 + 0.4. Let p = 2.14 + -4.24. Let y = p - -2.2. Which is the nearest to -1\/3? (a) f (b) -3\/8 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503*i + 513*i - 131930 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1316242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21, 4, 43, 102, 187, 304, 459?\n\"Answer: n**3 + n**2 + 15*n - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20190.69 take away -0.9?\nAnswer: 20191.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -776 + 776. Solve k = -3 - c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114496 = -828*h - 961*h for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1400 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 76 = 22. Suppose 2*j + 5*y - 12 = 0, 0 = -2*j + 4*j + 2*y - n. Let s(f) = -4*f**3 + f - 2. Let p(b) = b**3. What is j*s(c) + 6*p(c)?\nAnswer: 2*c**3 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 at least -415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11518 + 81121\/7. Let n = 71 - w. Let n*s**2 + 8\/7 - 8\/7*s = 0. What is s?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20373 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -23 - (11 + (-13 - -25)) - -58?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 13. Let p be a\/(-2) + 341\/62. Let z be (-4)\/(-6)*(-14)\/(-2). Which is greater: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 1. Let h be g(2). What is the least common multiple of h*3 - (-11)\/(-11) and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 22. Let w = 634 - 637. Which is the closest to -22? (a) w (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**2*l**(-19\/4)*l assuming l is positive.\nAnswer: l**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -38*-8056.1\nAnswer: 306131.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 130?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1767 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2331 + 0?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 8605.\nAnswer: 77445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*80\/(-280)*(-7)\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -462\/188113 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -10 - 9\/(-2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**4 + 279*n**3 - 4146*n**2 - 72360*n = 0. What is n?\nAnswer: -10, 0, 36, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6648093, 13296188, 19944283, 26592378, 33240473, 39888568?\n\"Answer: 6648095*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 5*u + 51*u + 414 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1379600?\nAnswer: 2, 5, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 - 67*i**3 - 41*i**3 - i**2 + 23*i**3 to g*i**3 + s + n*i + c*i**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -679, -690, -709, -736, -771?\n\"Answer: -4*z**2 + z - 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-99))\/(-1)*3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 38. Calculate the remainder when (1 + x + 3)\/((-2)\/150) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 2*i - 5*q, 4*i - 2*i = -2*q + 182. Let t = 141 - i. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/27 and 17\/51 - (-86)\/20 - 0.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 3*z + 15*z**3 + 4*z**3 + 9*z + 24.\nAnswer: 19*z**3 + 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 2*g**3 + 0*g**3)*(446*g + 390*g - 276*g + 2 + 3).\nAnswer: 1120*g**4 + 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2352 + 3\/8*q**3 + 165\/4*q**2 + 1092*q = 0.\nAnswer: -56, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -143\/887 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/30*(-24)\/32. Let w be ((-4)\/(-2))\/(-9 + 4). Which is the nearest to g? (a) 4\/5 (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(3 - (-33)\/(-15)). Let y be (-134)\/n - 2\/4. Suppose -s + 4*s = y. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -q + 2*d, 5*q - 56*d = -50*d + 37 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 139 divided by 176903\nAnswer: 139\/176903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(33)\/sqrt(3)) + -4.\nAnswer: -4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 5:41 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 25353*i**2 - 228366*i - 456840.\nAnswer: 3*(i - 8460)*(i + 3)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/(15\/99) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 650427810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 906 = 102. Calculate the greatest common factor of 27 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5795.583cm to kilometers.\nAnswer: 0.05795583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21 (b) -19\/4 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323 divided by 6413.\nAnswer: -323\/6413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 68, 102, 116, 104?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*p - 2*p - 32 - 118 = 6*p, 3*o = -p - 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 117130 - 117126. Let s = 0 + 0.2. What is the closest to -2\/23 in b, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13868077 is divided by 164.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 210 + 224?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -12. Solve -4*f = -b*r, 2*r + 2*r - f + 6 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 4:05 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12868447 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*h**6 + 0 - 27*h - 12*h**4 - 2*h**2 + 10 - 7 + 9*h**4 wrt h.\nAnswer: 3720*h**3 - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576243 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c (base 16) to base 10.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -274 + 611. Suppose v - m = -14. What are the prime factors of v?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 8*c**2 - 56*c + 6. List the prime factors of b(-18).\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 228461\/18 + -12689. What is the common denominator of v and -73\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3732 is divided by 226?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*j - 5*i + 21, 4*i - 32 = -3*j. Suppose 8 = -4*k + 12, -27 = -j*c + 5*k. Let s(q) = -q**2 + 7*q + 11. Determine s(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -9 (b) -24 (c) 22 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*b**3*f**4 - 8*b**3*f + 2*b**2*f**5 + 7*b**2*f - b wrt f.\nAnswer: 264*b**3*f**2 + 40*b**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.72 - -5.72. Suppose 0 = 4*z - z - l - 16, 20 = -5*l. Which is the third smallest value? (a) z (b) x (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 218*h + 6 - 6 + 42*h in the form v + x*h and give x.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 1 (b) 0.4 (c) -12 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + 75. Let w = -119 + t. Let q(o) = o**2 + o. Calculate q(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111*r - 6702*r**3 + 39 + 49 + 6703*r**3 - 8 to y*r**2 + f*r + c + o*r**3 and give c.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8443638 divided by 7054.\nAnswer: -1197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -751*a - 68911 + 68911 in the form u*a + i and give u.\nAnswer: -751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5332\/(-3)*(-11 + 5 - -21). Round q to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 119*m**2 + 13474*m - 2542188?\nAnswer: 238*m + 13474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-504)\/(-105))\/(297\/30 - 10)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 8. Let z be c(9). Are -1\/48 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2278 - -2283. Which is the closest to 3? (a) -0.1 (b) -9 (c) 0 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.8 - -6. Let q = -1566.202 + 1564. Let p = h + q. What is p rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2162400408 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 911427.9g in milligrams?\nAnswer: 911427900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2 (b) -0.4 (c) 0.99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/2)*n**(1\/2))\/((n\/n**(2\/9))\/(n\/n**(-9))))**(-50) assuming n is positive.\nAnswer: n**(-5050\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17675 divided by 31?\nAnswer: 17675\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*r + 89. Suppose -p = 2*p - 5*y + r, p - 4*y + 13 = 0. Sort 2, p, 4 in increasing order.\nAnswer: p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 2841121\nAnswer: 2841133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (18\/45)\/(21\/(9450\/60))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80 + 91. Suppose 5*a = l*a - 36. What is the remainder when 40 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23998577 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from yhrtlyllbthhhhh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*s + 285*s + 12*s - 150*s + 534*s in the form j*s + m and give j.\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 6154*z + 3458849. Calculate h(-740).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.085, 4, -2\/9, -216, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510372 is divided by 363.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a0 + -71608?\nAnswer: -71468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 = 5*b, 35 = 81*u - 76*u. Put -5, b, 222 in ascending order.\nAnswer: -5, b, 222","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 - 2*o**3 - 3*o**3)*(13 + 9 - 9) + 0*o**2 + 2*o**3 + 0*o**2.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4235970542?\nAnswer: 2, 19, 111472909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 24.44253 and 1100134.\nAnswer: 1100158.44253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -310 + -314. Let s be (-890 - 1) + (-4 - -4). Let r = n - s. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3896 and 4870?\nAnswer: 19480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 17*q. Let s(v) = -54*v. Let r(g) = -5*s(g) - 16*z(g). Let h(y) = -180*y**2. Determine r(h(c)).\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*v**3 - 73*v**3 + 39*v - 42*v**3 wrt v?\nAnswer: -540*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9857*d**3 - 44309 + 22151 + 22158 - 3283*d**2 wrt d.\nAnswer: -59142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.61 - -14.31. Let s = 12.70081 - w. Round s to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3415423?\nAnswer: 11, 41, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/12 and -41\/73969682.\nAnswer: 443818092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**5\/4 + 7845*h**4\/4 + 1544475*h**3\/2 + 4609915*h**2\/2 + 9204165*h\/4 + 3065445\/4.\nAnswer: 5*(h + 1)**3*(h + 783)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 984.2787 milligrams?\nAnswer: 0.9842787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -270*v. Let u(x) = 97*x - 14*x - 24*x - 49*x. Calculate 4*f(k) + 110*u(k).\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343929635.\nAnswer: 5, 7, 17, 421, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13189 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**4\/2 + k**3 - 111*k**2\/2 - 161. What is the second derivative of m(u) wrt u?\nAnswer: -12*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 288.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3. Let q = 0 + c. Let x = q - 0.1. What is the closest to 0 in -2, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, -5, 0.08, -1\/5, -247\/124?\nAnswer: -247\/124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 118*l - 513. Calculate h(-54).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**5\/30 + m**4\/12 + 110*m**3\/3 - 1109*m**2. Factor b(h).\nAnswer: -2*(h - 11)*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/15 (b) -1.323 (c) 2150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 492*f**5 - 197*f**2 - 31300753*f wrt f?\nAnswer: 9840*f**3 - 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 78 in decreasing order.\nAnswer: 78, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 25*j**2 + 28*j + 22. Let c(w) = 12*w**2 + 13*w + 11. Determine 13*c(g) - 6*u(g).\nAnswer: 6*g**2 + g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 923 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 24*o**2 + o - 1. Let w(v) = v**2 + v - 1. Let i(r) = -2*d(r) + 2*w(r). Let k(x) = x**2. Calculate k(i(l)).\nAnswer: 2116*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/(-135))\/((-4)\/(-20)*2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/2))\/(a*a**(-2\/7))*a**(-5)*a**(2\/17) assuming a is positive.\nAnswer: a**(-1213\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/27 equal to -117.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (0 + -6) - -5) + -23.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 333127334 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -5515774.828761?\nAnswer: 5515773.828761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - 0 - (-28 - -1)\/3. What is the fourth biggest value in n, -4\/7, -0.4, 3\/7, -2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 1. Let d be v(-1). Let q be 1 + d + 6 + -4. Let h(k) = 64*k + 13. Is h(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01044 and 10.\nAnswer: 10.01044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 349, -5, -33, 4, 31, 3.\nAnswer: -33, -5, 3, 4, 31, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12\/(-2) + -3 + (2170 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331539809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*q + 19, 7*t + 23 = q + 2*t. Suppose 0 = -2*i - 4 + q. Solve -4*g - 12 = i*z, 4*z = -6*g + 3*g + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 2)*(-c**3 - 2*c**4 + 2*c**2 + c**3) + 4*c**4 - 13*c**2 + 13*c**2.\nAnswer: -4*c**4 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + 17*l - 47. What is u(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1346605)\/(-35) - (-81)\/(-189) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q. Suppose 2*h - 3*x = h - 259, 0 = 3*h + 3*x + 753. Let s = -65 - h. Let t(m) = -188 + s + 2*m. Determine y(t(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 4461490?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*3*sqrt(2))**2.\nAnswer: 24*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 204 + 6. Suppose -j = 4*y - y. Let m be 7\/y + 2\/10. Solve m*x = -x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/5)*v**(2\/23)*v)\/(v*v**(-4\/3)*v\/(v\/(v*(v\/v**(1\/9)*v*v*v)\/v))) assuming v is positive.\nAnswer: v**(-1934\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*o + 3 = 0, 0 = -2*j - 3*o - 0 - 1. Let w(s) = -15*s - 1. Determine w(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5393 + 1.9423. Round z to 2 dps.\nAnswer: 3.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**4\/12 + o. Let q(c) = 6*c - 72. Let v(g) = 7*g - 60. Let h(k) = -5*q(k) + 6*v(k). Calculate f(h(d)).\nAnswer: 144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7226\/4 + 1\/2. Suppose 5*w - d = 3*b + 550, -2*b - 4*w - 1542 = 0. Let s = 1439 + b. What is s rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s\/(s\/(s**(-1\/2)*s*s)))\/s*s)\/s)**(4\/3)\/(s**(2\/7)*s*s*s)**24*(s**(-2\/7)\/s)**(-1\/2)\/(s\/s**(-1)*s*s**(-1\/2)*s) assuming s is positive.\nAnswer: s**(-1646\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/1*0\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*m - 850 = -a, 0 = -2*m - 10. Suppose 5*l + a = 5*t, 3*t - 6*t = -5*l - 184. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/17 - 353\/85. Let t = -82\/15 - m. Let x = 0.8 + 0.2. What is the third smallest value in t, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/20)\/(9\/24). Let t(g) = 6*g**3 - 8*g**2 - 8. Let d(l) = l**3 - 2. Let k(h) = o*d(h) + t(h). Solve k(z) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 172, 258?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(704) - (4 + (sqrt(704) - -2*sqrt(704)))) + sqrt(704) - sqrt(704)) + -5 - ((-1*sqrt(704) + 1 - 2*(-1 + sqrt(704))) + -5))**2.\nAnswer: 2288*sqrt(11) + 85353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, x: 5, b: 1, f: 2, t: 4, e: 1}. Give prob of picking 1 w, 1 e, and 1 f.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 5. Suppose 3*m + 4*j = -1, -2*j = m + 4 - 1. Let i = m - 9. Let l(u) = -u - 6. Determine i*d(r) - 3*l(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 14*x**2 + 3. Let y(v) = 4*v**3 - 108*v**2 + 424*v - 538. Let h(o) = 2*w(o) - y(o). Factor h(c).\nAnswer: -2*(c - 34)*(c - 4)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r - 15 = 15*r. Let t(s) be the third derivative of 17\/21*s**5 + 55\/84*s**6 - 8\/21*s**r + 0 + 2*s**2 + 1\/21*s**4 + 0*s. Suppose t(v) = 0. Calculate v.\nAnswer: -2\/5, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/2 - 239*g**2 + 10459*g\/2 - 4990 = 0. Calculate g.\nAnswer: -499, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1170)\/(-5))\/(-6*(-1)\/4)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -1\/8*r**4 - 2*r**2 - 1\/2*r**3 + 0*r + 0. Let x = -14 - -12. Determine p(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441*i**2 - 435*i**2 + 1180*i**2 - 412*i**2 + 110*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - t + 1. Let n be h(2). Suppose v = -n*v + 84. Suppose -177*a - 662 = -6503. Calculate the lowest common multiple of a and v.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 102\/5. Let o = -0.28 - 0.02. Let z = 0.3 + o. What is the third smallest value in r, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -y - 20, 4*y - 12 = -8*d + 13*d for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 263 - 425. Let z = 177 + h. Solve 0 = 4*i - z + 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12570 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -119, -249, -531, -1019, -1767, -2829?\n\"Answer: -9*y**3 - 22*y**2 - y - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2224102 * -34\nAnswer: 75619468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3236999 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*s - 18*s + 3*s as r + k*s and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -14, -22, -30?\n\"Answer: -8*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.4 and -263.94814919?\nAnswer: 262.54814919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 - -78. Solve -b*p = p + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 3*q - q)*(156*q + 136*q + 26*q) + (q + q - 4*q)*(-2*q + 5*q - 5*q) + 2*q**2 + 0*q**2 - 4*q**2 as d*q + v + f*q**2 and give f.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*g**3 - g**4 - g**4 + 43*g**3 + 2*g**5 + (2*g - 1 + 1)*(2*g**4 + 104*g**3 - 104*g**3).\nAnswer: 6*g**5 - 2*g**4 + 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 - 135*z**3 + 215*z**2 + 855*z + 500.\nAnswer: 5*(z - 25)*(z - 4)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/61 in -2\/7, 5, 549?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-21)\/2)\/((-29)\/2842)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00088425417 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*j, q - 3*j = -2*q + 210. Calculate the greatest common divisor of 46 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-4)*468\/2730?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3650 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19060, -29317, -39574?\nAnswer: -49831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 3*q + 2 + 0*q)*(-1 + 1 + 1)*(-112*q**3 + 73*q**3 + 85*q**3) to the form t + y*q**2 + n*q**4 + o*q + a*q**3 and give n.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111\/10 + 23\/2. Solve -2\/5*x - 2\/5*x**4 + l*x**3 + 2\/5*x**2 + 0 = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138 - 106. What is the greatest common factor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - c**2 + c - 1. Let m(o) = -4*o**3 - 7*o + 5. What is m(b) + 6*q(b)?\nAnswer: 2*b**3 - 6*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggejjpeggp. Give prob of sequence ej.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 12:51 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.464 + -0.3213?\nAnswer: -0.7853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 224\/(-392)*(-28)\/184\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-1042 + z + 907 + z)*(z - z + z**3).\nAnswer: -2*z**4 + 135*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1894585\/19684)\/(33\/24)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3 - 10 + 1255*y + 7. Let s be c(6). What is s rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195300 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (42370\/7805)\/(4\/(-14))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 844699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 29505.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 491*t**2 - 201*t**2 + 355*t**2 + (t**2 + 1 - 1)*(-2 - 2 + 3) + 0*t**2 - 2*t**2 + t**2 to the form g + s*t + f*t**2 and give f.\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6076?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*p + p = -39, p = 5*y - 33. What is the tens digit of 3 + 159\/y - (-5)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 90276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 7*w - 4. Let v be b(-6). Suppose -165*p + 428 = -232. Suppose 5*c = i - p*i + 3421, -5*c = v*i - 3419. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196131.996 nanoseconds to days.\nAnswer: 0.00000000227004625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-45) - (-9)\/((-135)\/(-2)). Sort 7, -4, -6, m in ascending order.\nAnswer: -6, -4, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 26. Let b = -14 + g. Suppose 6*o - 5*o = b. Solve 5*s + 2*q - 3 = -0, 3*q = o*s + 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 - 8*s**4 + 3*s**4 + 1 + 6*s**4 + s**2 - 3*s as n*s**4 + k + l*s**3 + m*s**2 + z*s and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 13. Let n be c(13). Suppose n = 3*p - 9, -p = -4*b - 7 + 60. Suppose -7*r + 7 = -b. Solve 0*j = -r*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzmmuxrx. Give prob of sequence mxmr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -217 - -316. Suppose 3*k - y = d, 5*k + 3*d = 7*k - 66. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3618\/(-108))\/((-5)\/(-6) + -1). Suppose -2*z + n = 197. Suppose -u + 5*m = 2, -z*m + 5 - 1 = 0. Find the common denominator of u and 22\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3921*m**3 + 3926*m**3 - 7852*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + q**2 + 1. Let a(d) = -7*d**3 - 4*d**2 + 2*d - 9. Let i(f) = -a(f) - 6*b(f). What is i(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*p**5 + 131*p**4 - 1138*p**2 wrt p?\nAnswer: -240*p**2 + 3144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4e52 (base 15) in base 3?\nAnswer: -211221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4850, 9510, 13978, 18254, 22338, 26230?\nAnswer: 29930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 108\/(-18) + 381 + (-4 - 0). Calculate the greatest common factor of 63 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.547 + -2.447. What is the second smallest value in 55, 1\/4, c, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20976 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506646117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 19*l + 3. Let s(r) = -21*r - 15*r + 0 + 37*r + 2 - 1. Give -h(z) + 3*s(z).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v - 195 = 0. Suppose -51 = -2*a + v. Let c = a - 5. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2. Let k(z) = -3*z - 6. Let l(h) = -718*h + 33. Let n(d) = -6*k(d) - l(d). Determine c(n(a)).\nAnswer: 1083392*a**2 + 8832*a + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 16*o**2 + 10*o - 8. Let c be i(-15). Suppose 3*x + c = 796. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-315)\/6)\/(24\/6). Which is smaller: -13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 0.659?\nAnswer: 0.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -641, -713, -839, -1037, -1325, -1721?\n\"Answer: -3*t**3 - 9*t**2 - 24*t - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59.78? (a) 4\/7 (b) -3\/7 (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3800)\/12)\/((-1)\/(-1140)*-1). What is x rounded to the nearest 10000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1374 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 12. Let v(u) = 0*u + 2*u + m - 3 + 3. Let n(g) = -g - 1. Calculate n(x) + v(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 3*q = -4*q + 112, 5*n - 2*q = 99. Solve 9 = 10*j + n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 50\/11 (b) -4 (c) -0.8 (d) -1\/11 (e) -30 (f) 0.2 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-504)\/(-588))\/(5\/(-7))*(-16)\/(-144).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - 104. Let o = -35 - k. Solve o = h + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729000439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 u when three letters picked without replacement from {y: 18, u: 2}?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5224169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iizziiziiii. What is prob of picking 2 z?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 39*k + 25. Let m be q(19). Is (-5)\/4*-3*488\/m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22099, 43594, 64139, 83260, 100483, 115334, 127339, 136024?\nAnswer: 140915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 126 (base 14) to base 12\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -22*m + 3. Let n(k) = -22*k + 2. Give -4*d(i) + 6*n(i).\nAnswer: -44*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**3 + 3*f**2\/2 + 6*f + 1. Solve g(d) = 0 for d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25492223 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:18 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2732 by -12.\nAnswer: -683\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 4)\/((-45)\/30). Let m be 1\/s + 114\/84. Determine d, given that 10\/7*d**2 - m*d**5 - 10\/7*d**4 + 0 + 10\/7*d**3 - 4\/7*d = 0.\nAnswer: -2, -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 12*u - 59)*(-14 - 9*u + 10*u - 21).\nAnswer: -12*u**2 + 420*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 = 970591*t - 970598*t for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*x = -22, 4*j - 1345 = 5*x - 1272 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*s + 14. Let u = s + -4. Suppose 2*c - 3*j - 38 = 16, 4*c + 3*j - 108 = 0. Calculate the greatest common divisor of c and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - 7)*4\/(-6). Let a be 1 + 1*(-6 + 1). Let m = y + a. Calculate the remainder when 10 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29339*-11.4.\nAnswer: 334464.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -47. Let f be (-5 + 9)\/(2\/h). Suppose f*l = 3*i - 24 + 6, -l = 3*i - 3. Solve 2 = -3*u - 2*m, -5*m + 33 = -i*u - 0*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 182*d**2 + 1. Calculate r(1).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1282646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84705 and -0.972.\nAnswer: -82333.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 + 2*y + 2. What is a(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 709 - -28. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/3520 and 89\/73363136.\nAnswer: 366815680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 73324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2190, -2188, -2184, -2178?\nAnswer: -2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 16*j**7\/7 + 152*j**6\/15 - 1901*j**5\/10 - 56*j**4 + 197*j**3\/3 + 40*j**2 - 3*j - 10. Determine p, given that q(p) = 0.\nAnswer: -8, -1\/4, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -152, -174?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1739 is divided by -3*(-53 + 8)\/9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -43.001632. Round y to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 40. Suppose -1 = -2*v + 1. Calculate the remainder when 43 is divided by 0 + p + 13 + v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -50.\nAnswer: 21\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*d - 128, 5*q + 2*d + 86 = 661. Does 23 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/10 and -123\/1010.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*y**3 + 203*y**3 - 288*y**3 - 1116*y**2.\nAnswer: -406*y**3 - 1116*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1224)\/1632)\/((-2)\/3256) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -779 + 1143. Calculate the highest common divisor of 560 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/48 and -115\/264.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(2 - 362\/180). Suppose 0 = -3*s + 5*l + 200, 4*s = -4*l + 134 + 90. What is the greatest common divisor of n and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide (4\/2)\/(2\/1929)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -224487?\nAnswer: 8\/224487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7882567 by -1837.\nAnswer: 4291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 8629 + 8629.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h + 5. Let i be z(0). Solve -i = -4*k + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 64 = -6. Let o = -10 - -10.5. Let v = 424 - 426. What is the third biggest value in h, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-12)*-1*(-30)\/(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 140*f + 33. Is y(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326*h + 157*h + 26*h**3 + 154*h + 11*h**3.\nAnswer: 37*h**3 - 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*m**2 - 3*m**3 + 1\/2*m + 0.\nAnswer: -m*(2*m - 1)*(3*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (140\/15)\/2*21. Let j = -80 + q. Calculate the remainder when 66 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 11:25 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196 and 152992?\nAnswer: 1070944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 9:24 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -70, -93, -110, -121, -126, -125?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001 (base 2) to base 8.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (73 - -6) + 251 + -329.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + m + 3. Let z be k(0). Let u(q) = -1 - 3*q**2 + 0*q**3 + 3*q**3 - 2*q**z + 3*q. What is u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(600)*-2)*-5)\/(sqrt(968)*-2*5).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592789?\nAnswer: 29, 20441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84323 and 776?\nAnswer: 65434648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3715768?\nAnswer: 2, 7, 9479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 425878 or 4?\nAnswer: 425878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-62)\/651)\/(1\/(-7))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9674.047 weeks to hours.\nAnswer: 1625239.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + (sqrt(170)*-2*-3 - sqrt(170)))\/(2*sqrt(10)*1) + ((sqrt(102) + sqrt(102)*-1 - sqrt(102) - sqrt(102))*3)\/(sqrt(36)\/sqrt(96)))**2.\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - 2*d**2 + 3*d**2 + (-2*d + 6*d - 3*d)*(0*d + 0*d - 2*d) - 3*d - 3*d**2 + 3*d + 5 - 5 + 8*d**2 + (-4 + 4 - 2*d)*(-d + 4*d + 5*d).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/50 - (-834)\/10. Suppose -4*p + f = -17. Suppose -p = -4*h - 3*l + 43, 4*l = -16. Solve -5*y = -3*v - y, -2*v = 4*y + h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166 and 9629909?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -11. Suppose 0 = r - 15 + l. Determine h so that -6*h - 4*h - 3*h**2 - 2*h - h**r = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9 = -1. Suppose h + 0*h - x - 17 = 0, 0 = 5*h - o*x - 70. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buxx when four letters picked without replacement from {u: 2, i: 2, c: 3, b: 2, x: 6, q: 3}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67231.\nAnswer: 67231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.4 rounded to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 6*n**2 + 8*n + 6. Suppose -4*v + 7 = f, 4*v - 3*f = 2*v + 7. Let o = v - 9. Give q(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5883\/5? (a) 0.3 (b) 2.8 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 1:02 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) - 4*(-303)\/30. Suppose -35*w = -43*w + f. Solve s = 2*s - w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667266?\nAnswer: 2, 3, 111211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*j + 3*o - 48, -o - 1 - 11 - 3 = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -40 - -382?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g + 7. Let i(l) = -2*l - 3. Let a be (-4)\/(6\/(-2) + 4). Determine a*w(u) - 9*i(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 667 (base 16) to base 13.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 11*x + 10*x - 259, -4*d = -5*x + 358. Let r = d - -87. Find the common denominator of 25\/2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, u: 2, a: 4}. What is prob of sequence mama?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1494 from -0.3.\nAnswer: -0.4494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u - 418. Let k(z) = 26*z**2 - 5. Give k(r(p)).\nAnswer: 1274*p**2 + 152152*p + 4542819","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(sqrt(76)*1 + -5 - 5*(sqrt(76) + -1))**2 + -3).\nAnswer: -12175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 10*m**2 + 4*m - 4. Let b be l(10). What are the prime factors of (-1)\/(1\/(-249))*12\/b?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*17 + (-679536)\/15246\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8101824 less than 8101842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (263*r - 267*r + 195 + 8)*(-r + r - r) to the form y + a*r**2 + d*r and give d.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (2*sqrt(475) - sqrt(475))**2)*3.\nAnswer: 3*sqrt(19) + 1425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 - -76)*(-1)\/(-3). Let s(r) = 11 + 3*r + d + 3*r**2 - 12*r + 0*r. Calculate the remainder when s(9) is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**5\/20 - x**4\/2 + 11*x**2. Find k such that a(k) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47968682 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*b + 2*b**2 + 0 + 2\/5*b**3.\nAnswer: 2*b*(b + 2)*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -3*v + 9*i - 2, -25 = -v - 3*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(5\/6)\/((m\/(m**(-3\/2)*m)*m)\/m)*m*m**(-2\/7)*m*m\/(m**4*m)*(m**(2\/15)*m*m\/(m\/(m*m**1*m)))\/(m\/(m*m\/(m\/m**1)*m*m))**10 assuming m is positive.\nAnswer: m**(3274\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3290 and 7520?\nAnswer: 52640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/5 + 4*u**2 - 1346*u\/5 - 1364\/5 = 0 for u.\nAnswer: -31, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189334 and 568002?\nAnswer: 568002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r**2 - 10*r**2 - 4*r**2)*(r**2 - 2*r**2 + 3*r**2 + (-2*r - 2*r + 9*r)*(r + 0 + 0)) to the form w*r**4 + f*r**2 + c*r + o + a*r**3 and give w.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 95 - 39 = 0. Let p(m) = m**2 - 7*m + 8. Let f be p(6). Let a = q - f. What is the highest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 2\/((-224)\/1526)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - y + 25. What are the prime factors of c(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 249730 and 76840.\nAnswer: 998920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1152 - -26494\/23. What is the nearest to -2\/3 in 5, s, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 64 - 3\/1 - 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2046 divided by -3.\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -483*h + 480*h + 15, 4*h - 37 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 223 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6481991, -12963982, -19445973, -25927964?\n\"Answer: -6481991*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = w - 3*s - s, -s = -4*w + 21. Suppose m = 6*m + 4*o + 80, 0 = w*m - o + 43. Calculate the least common multiple of (-94)\/(-5) - m\/(-15) and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/3 - 26*j**3\/3 - 80*j**2\/3 - 24*j.\nAnswer: -2*j*(j + 2)**2*(j + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -27145 divided by -3\nAnswer: 27145\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49501 - -49501.5. Let i = -4 + 5. Sort i, t, 1\/11 in decreasing order.\nAnswer: i, t, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/68 + (-757)\/12869\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (38 - -2) + (-1190 - -1197)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-3 - 44\/(-6)). Let p = y + 43. Suppose -3*h = -h - 40. What is the greatest common factor of h and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5682335 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19611 - -98057\/5. Let g(m) be the second derivative of 0*m**4 + 0 - n*m**5 + 1\/6*m**3 + 7*m**2 + 17*m. Differentiate g(d) with respect to d.\nAnswer: -24*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 - 44*m**3 + 51*m**3 + m**4)*(28 - 239 - 83)*(5 + 0 - 3).\nAnswer: -1176*m**4 - 4116*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40563 (base 7) to base 10.\nAnswer: 9894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8808.\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128 - -133.9. Let z = 0.9 - s. Sort z, 1, 1\/3.\nAnswer: z, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4 + (-164)\/(-16) + -3 + 11.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 33*v + 28*v + 20*v - 59*v - 105 as y*v + x and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 14*j**3 + 7*j**2 + 6*j - 3. Let f(b) = 15*b**3 + 8*b**2 + 8*b - 4. Determine 3*f(z) - 4*s(z).\nAnswer: -11*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 59?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13405 + -13382. Solve 0 = -4*d + 2*v + 22, 19 = -2*d + 18*v - c*v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttztttzztt. What is prob of picking 2 z?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*s, -z + 3065*s - 3081*s = 43 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 108 = -5*u, -z + 0*z = -3*u - 108. What is the remainder when z is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - j - 60*j**4 + 58*j**4 - 11 in the form o*j**4 + g*j + n*j**3 + p + u*j**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -1228\nAnswer: -3\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**4\/12 - 2*k. Let t(u) be the third derivative of 0*u**4 + 0*u - 11*u**2 + 0 + 0*u**3 - 1\/15*u**5. Determine o(t(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 + 21*a**3 + 27*a**2 - 21*a - 24.\nAnswer: -3*(a - 8)*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 176350 rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*h - 1460 + 3561 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 508330*q**2 - 12918952725*q - 51683944500.\nAnswer: -5*(q - 50835)**2*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -303467 and -1.077.\nAnswer: 326833.959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2. Let g = 154 + -152. Let b be g\/21*72\/84. Is t less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15839, 15837, 15835, 15833, 15831?\n\"Answer: -2*i + 15841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7492683 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 16*u**2 - u. Let c be (-2 - -2 - 1) + 2. Calculate the remainder when 1\/((-2)\/(-86)*1) is divided by w(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2916\/(-432)*332\/(-3). Do 747 and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -30*i + 14. Is p(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 1777*c + 19675. What is f(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*i - 202*i = -1224353. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**4\/6 + z**3\/3 - z**2 + 11*z. Let r(x) = -x**2 - 2*x + 6. Let m be r(0). Suppose -m*c = -13 - 5. Give a(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36453 and 21.\nAnswer: 255171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -12*n**2 + 68*n - 13. Let a be c(5). What is the greatest common factor of 8 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/1835 + 127\/110100. Let g(v) be the third derivative of 0*v**3 + 0*v**5 + 0*v**4 - 1\/525*v**7 + 0*v + 0 - w*v**6 - v**2. Solve g(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1310 + 5?\nAnswer: -1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l + 111 = 149 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110000001001001001111 (base 2) in base 15?\nAnswer: -7902a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 4:43 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b = 24*b + 45. Suppose b*x = 44 - 8. Find g such that 3 + 4*g**3 + 1 - x*g - 363*g**2 + 359*g**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 653*v - 100469. Determine j(-250).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11*20100\nAnswer: 221100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00066 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 820801.3 millilitres in litres?\nAnswer: 820.8013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 5 (c) -5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 (base 7) in base 14?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 6. Let j be ((-22)\/8)\/((-1)\/(-4)). Let l(v) = 3*v - 11. Let x(o) = j*m(o) + 6*l(o). List the prime factors of x(3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 6 = 2*l, 52*l = 3*c + 55*l - 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737235?\nAnswer: 3, 5, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*1*sqrt(425))**2*-2.\nAnswer: -13600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/29 (b) 0.31 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2353053 rounded to the nearest ten thousand?\nAnswer: 2350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*y + 57. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 4*g**2 + 3*g + 12. Let p be v(-4). Suppose 3*c = 2*u - p*c - 70, -2*c - 37 = -u. Calculate the highest common factor of u and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9147, 9149, 9185, 9279, 9455?\n\"Answer: 4*f**3 - 7*f**2 - 5*f + 9155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410 = -9*w + 2*w + 48*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 155340?\nAnswer: -155333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*o**2 - 109*o**2 - 4*o**4)*(-12 - 12 + 4) - o**4 + 0*o**4 - o**4.\nAnswer: 78*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pepejjjjsjjjjjsre. Give prob of picking 1 r and 1 p.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -195 - -363. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 1. Let h(d) = 2*d + 4. Suppose -3*u - u - 13 = 5*i, 4*i = -4*u - 12. Calculate i*h(x) + 5*p(x).\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1284 + 0.198. Round t to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwww. What is prob of picking 3 w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -17. Let g(y) = 8*y - 4. Let k(m) = -88*m. Let u(q) = 237*q - 1. Let v(z) = -8*k(z) - 3*u(z). What is i*g(b) + 6*v(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/2)\/((133422\/(-148))\/(-601)).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/(-24) - (-2)\/6. Which is smaller: t or -1\/43?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqdssqqlqn. Give prob of picking 2 l and 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 - 95. Which is the nearest to -0.47? (a) i (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 124587105 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2935, 6030, 9131, 12238, 15351, 18470, 21595?\nAnswer: 24726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*o + 3*i - 10, -2*i = 4*o - 18. Let u be ((-12)\/(-14))\/o*7. Suppose 0 = u*y - 32 + 14. What is the remainder when y is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snl when three letters picked without replacement from {x: 8, n: 1, l: 1, o: 1, d: 3, s: 2}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410 = -3*y + 502. Calculate the common denominator of (-3)\/16*y\/(-20) and 52\/(-6)*(40\/(-220) + (-2)\/(-132)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/4059 in -1, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*a + 80*a + 372 = 54*a. Sort a, -1, 4, 154 in ascending order.\nAnswer: a, -1, 4, 154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j - 98. Let s be c(15). Suppose -44*i + 37*i - s = 0. Let n be (1 - 71\/21) + 2. Is n at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17138740 by 13.\nAnswer: 17138740\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 541 divide 11092664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (12\/6 + -8)*(-175)\/(-630)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 12*c + 0 - 9 + 12 - 35. Let r be b(8). Suppose -o + 2*o - 2 = 0. What is the second biggest value in r, -0.2, -3\/4, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -18*w - 174. Let s(m) be the second derivative of 0 + 4\/3*m**3 + 0*m**w - 3\/5*m**5 + 4*m + 0*m**2. What is the second derivative of s(a) wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -15*j**2 + 564*j + 1457. Give m(40).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h + 2. Let o(s) = 13*s + 5. Let p = 4 + -2. Let y(d) = p*o(d) - 5*q(d). Let c(z) be the third derivative of -z**5\/12 - 142*z**2. Calculate c(y(l)).\nAnswer: -80*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5301 is divided by 2517.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 10:33 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 7*p - 3. Determine c(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 4, 3, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -51480300 to the nearest one hundred thousand.\nAnswer: -51500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (54\/45)\/(3*(-4)\/30). Let u(a) = -3*a**2 + 3*a + 12. Determine u(i).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 - 6)*(3*t - 5*t + 1 - 2).\nAnswer: 32*t + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -64874 divided by 326?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.011406 minutes to milliseconds.\nAnswer: 60684.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/3)\/m**(1\/7)*(m\/(m*m**(1\/3)))**(-2\/125) assuming m is positive.\nAnswer: m**(514\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 53*q - 106. Let m(h) = -22*h + 51. Let k(t) = 7*m(t) + 3*x(t). What is k(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2 - 2 + 0*r + 4*r. Let g(y) = -6*y + 2*y - 4 - 3. Let v(l) = 2*l + 3. Let p(s) = -3*g(s) - 7*v(s). Give u(p(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 553\/237*(-165)\/(-140).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -35. Find the second derivative of 9*q + q**2 + 3*q + q**r - 8*q**2 wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175002 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507*c**3 + 500*c**3 + 5*c + 20*c + 432*c**3.\nAnswer: 1439*c**3 + 25*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21, -1, -25, -51, -79, -109, -141?\n\"Answer: -t**2 - 19*t + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 16) to base 11.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (170 + 209 - 313)*(-s - 3 + 3) to the form h*s + n and give h.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -144*w**3 - 190209288*w**2 + 31701551*w - 1320898 = 0.\nAnswer: -1320898, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47233667.\nAnswer: 13, 17, 213727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -1, 0.3, 483296 in decreasing order.\nAnswer: 483296, 0.3, -0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.922335419 - 0.9224. What is y rounded to 6 dps?\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7852*o**2 + 2*o - 2337?\nAnswer: 15704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 - 8*m)*(612 - 23*m**2 - 612).\nAnswer: 184*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**2 + 332 - 332 - 45*y**2.\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*v + 8 = -p, -2*p - 14 = 4*v. Suppose 2 + 22 = p*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r + 42. Suppose -4*f + 38 - 30 = a, 2*a - 3*f = 5. Let k be a\/6*(-30)\/20. Put 0, r, k in descending order.\nAnswer: 0, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(33\/77*1). Solve -2*t = d*t - 36 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 2*z**2 - 6*z. Let l(h) = h + 14. Let t be l(-15). Let p = 0 + t. Let g(d) = d**3 + d**2 + d. Determine p*f(m) - 3*g(m).\nAnswer: -2*m**3 - m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8765243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1199 and 223232?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1497, -3310, -5751, -9132, -13765, -19962, -28035, -38296?\n\"Answer: -52*r**3 - 2*r**2 - 1443*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/3 - (-50)\/210*-7. Let h = 0.23 - 11.23. Let p = -10 - h. Which is the nearest to p? (a) 3\/4 (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5503 and 496981433.\nAnswer: 5503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k - 83. Let g = -26 + k. Suppose -5*l = -4*n + 53, -5*n + g = 4*l - l. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40 - -43 - 34\/10)\/2. Suppose 2*w - w + 3 = -2*q, 4*w + 15 = -5*q. Sort q, 2\/7, k.\nAnswer: k, 2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 5*r**2 + 14*r + 14. Let b be l(7). Calculate the highest common factor of b and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2876\/1606 - (-668)\/24382.\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177352.\nAnswer: 2, 7, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or 2223?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 20*m**2 - 16*m + 29. Give d(-20).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a + 18 = 0. Let f = 17 + a. What is the smallest common multiple of 1 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254540380.\nAnswer: 2, 5, 7079, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01592738 rounded to four dps?\nAnswer: -0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m. Let t(r) = -5*r. Suppose -3*z = -87*l + 86*l - 6, 5*l + z + 14 = 0. Calculate l*t(c) + 8*n(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-6)*(-120)\/16. Let g = -25 + b. Let d(k) = -3 - k - 3 + 4. Give d(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 12 + 52 = -10*h, h + 9*m + 228 = -2*h + 78*m for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-17 + 33 - 14). Suppose 4*k - 7 = 3*u - k, 0 = -3*u + 3*k - 9. Sort u, 2, 4, r.\nAnswer: u, 2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123200211 - -2?\nAnswer: -123200203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -537*q - 161*q + 343*q + 331*q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99786, 105272, 110758, 116244, 121730, 127216?\nAnswer: 132702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 3603.40514?\nAnswer: -1081.021542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 309? (a) -82 (b) 2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20862 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3245621, 3245541, 3245461?\n\"Answer: -80*y + 3245701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18767.\nAnswer: 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101.39 + 1.39. Let w = 219 - j. Let s = w - 318.999734. Round s to five decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*((-8)\/(-14) + 118\/14). Let b(y) = -3*y**2 - 79*y - 2. Does 12 divide b(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**4 - c - 2 + 1977*c**2 - 48*c**3 - 1977*c**2 in the form a*c**2 + u*c**4 + b*c + y + g*c**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -606 - -399. Let o = r + 208.1. Suppose 4*j - 3 = 1. What is the closest to j in -1\/12, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - ((-25728)\/80)\/(-24))\/(-7 - (-238)\/35)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - f + 2*f = 4, 5*s - f + 4 = 0. Let w be s - 2 - 52\/(-28). What is the fourth biggest value in -0.3, w, -0.1, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-48)\/18)\/(-1 - 1\/(-3)). Suppose 10 = -2*j + 3*a + 2, d*a = 0. Sort -10, -2\/3, j in ascending order.\nAnswer: -10, j, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b**3 - 1\/7*b**4 + 2\/7*b + 3\/7*b**2 + 0 = 0 for b.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2475149.4ns in days?\nAnswer: 0.0000000286475625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen eighths of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/4 (b) -2 (c) -0.1 (d) 1624 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = -k - 2, -3*k = -u + 23. Suppose 4*j + 37600000 = u*j. What is j rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*f - 1. Let m = 0.691 - -474.309. Let o = 474.97 - m. What is the nearest to 2 in o, 5, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/(-32))\/(2\/(-8)). Let p be (4 - 0)\/(-2) + 42. Let q = d + p. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 5:31 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -48 (b) -0.1 (c) 3\/8 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 3*l. Let i(u) = u**2 + 5*u + 2. Let x be i(-2). Let b be w(x). Let m(j) = j**3 - 4*j**2 + 3*j - 5. What are the prime factors of m(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/5 of a century?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -15*q**3 - 7*q**2 - 11*q + 9. Let o(d) = 5*d + 4 + 5*d - 9 + 8*d**3 - 4*d + 4*d**2. Determine 6*l(z) + 11*o(z).\nAnswer: -2*z**3 + 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.00819*-0.3\nAnswer: 0.002457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.77 + 7.77. Let s be (-1)\/(-4) - ((-13)\/(-4) - -1). Which is the nearest to -10? (a) s (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 11*o - 19. Let d be h(-7). Suppose d*z - 12*z = 105. Let n = z - -44. Solve -j + 4*j - n = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67761789.\nAnswer: 3, 61, 379, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1008) + -2 + 1*sqrt(1008)))**2.\nAnswer: -96*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8349?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h + 62. Let o be x(20). Solve -134*d + d**2 - 24*d**3 - 17*d**4 + 51*d**o + 118*d + 5*d**5 = 0 for d.\nAnswer: -2, 0, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 37*r**2 + 92*r - 79. Determine s(-4).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 15 = -5*u + 18, 3*t + 2*u = 33. Solve 5*j - 4 = -t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3590119 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -12, 3, -5, 38, -49 in descending order.\nAnswer: 38, 7, 3, -5, -12, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4745718 (base 9) to base 13.\nAnswer: -6bc780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47600.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by ((-360)\/140)\/((-14)\/147)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 230406353*b**3 - 446799945 wrt b.\nAnswer: 691219059*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a centimeter in millimeters?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 356163 and 5221?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3062*p**3 - 16*p - 214. Let t(w) = -2042*w**3 - 10*w - 143. Let j(q) = 8*t(q) - 5*z(q). Differentiate j(o) with respect to o.\nAnswer: -3078*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 7*q + 24 = -4*p, -5*q + 4*p - 16 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 z when two letters picked without replacement from {w: 1, z: 1, v: 2, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 194624.\nAnswer: 1\/97312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 5*v**2 + 6*v + 1. Let x be t(-4). What is the units digit of -1 + 9\/3 - x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18 + (-143 - -152 - (11 - 0)). Solve -t*f - 5 = -133 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*s - 15 = -157 - 96, -4*x + 18 = 4*s - 4*s + 2*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1783201*d**2 + 8490*d - 18.\nAnswer: 3566402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94*((-882)\/12)\/(-7)?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 809.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -2\/11, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4 - 5 + 4*x - 4. Let a be k(3). Sort 2, 0, a in descending order.\nAnswer: a, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185192382 by -185192382.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 8734, -3, 24, -1 in ascending order.\nAnswer: -3, -1, 10, 24, 8734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-41)*c*c*c\/(c**14*c)*(c**29)**(25\/6) assuming c is positive.\nAnswer: c**(407\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d - 71. Let r be o(18). Let z = -4 + 8. Let c be (-1)\/4 + 1\/z. Which is greater: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 966 by -69.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4*(-1)\/2)\/(48\/(-352)))\/((-72)\/108).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986482993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1067.5 + 754. What is l rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16180873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 12*m**2 - 289*m - 3299. What is i(-11)?\nAnswer: 1332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 = -c. Let x = 116 - 114. What is the third derivative of 151*b - 2*b**c - x*b**2 - b**2 - 151*b wrt b?\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82620000 rounded to the nearest one million?\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5693 times 15.614\nAnswer: 8.8890502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1782 + 23\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 15. Let z(y) = y + 7 + g*y - 4 - y. Give z(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-1\/4)*v*v)*v)**(2\/41)*(((v\/v**(-4))\/v)\/v)\/(v\/v**1)*((v\/(v\/(v\/(v\/(v*v**(4\/5)))*v*v*v)))\/(v**2*v*v))\/(v*v**(-1\/4))**23 assuming v is positive.\nAnswer: v**(-11059\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 34897.\nAnswer: -34\/34897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - z**2 - 2*z**2)*(701*z**2 - 2178*z**2 + 671*z**2).\nAnswer: -1612*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -14, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3.6448 (b) -10 (c) 9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t + 31*t + 4*h - 250830 = 0, 0 = 3*h + 15. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + (-2*sqrt(1539) - 5*(sqrt(171))**2) - -2*(sqrt(1900) + 4*sqrt(1900)*-2 + sqrt(1900))**2*2.\nAnswer: -18*sqrt(19) + 272752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -16*m + 19 + 24 - m**2 + 3 - 23. What are the prime factors of z(-11)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/4 and -11\/116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61\/(-1647))\/(((-7)\/(-6))\/(-7)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 212232 (base 4) in base 8?\nAnswer: 4656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 25*f = -45*f + 21*f - 3, 4*z + 12 = 2*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/2)\/(5\/50). Suppose -5*g - 32 = -y - 2*y, -3*y = 4*g - z. Let m = y + -9. Solve -2*j + 3*s - 30 = -m*j, 5*s - 45 = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -205 - -117. Let j = c - -91. Find the third derivative of -j*b**3 - 38*b**5 + 3*b**3 + 20*b**5 - 17*b**2 wrt b.\nAnswer: -1080*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -2593\nAnswer: -2593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 9 + 1)*(n + 8*n - 6*n + 40)*(0 + 0 - n**2) in the form c*n**3 + l*n + a + u*n**2 and give u.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/38)\/(22\/275)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3293 = 5*g + 2*o, -19*g - 4*o + 1973 = -16*g. Let d = 719 - g. Calculate the highest common divisor of d and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8987 and 3827?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (0\/1)\/(-1). Let d = 98 - 61. Suppose t = -g*t + d. List the prime factors of t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48225 times 15?\nAnswer: -723375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*g = 403*g + 2193 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28027.\nAnswer: 28027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 755.669 to 0 decimal places.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2, 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -279*d + 21212. Calculate r(76).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 171665046 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3\/19 - 12344*y**2\/19 - 14438330*y\/19 - 28827300\/19 = 0.\nAnswer: -4605, -1565, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 - 128.935. Round p to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3266, 3268, 3272, 3278, 3286, 3296?\nAnswer: 3308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62642752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4362*l**2*z**3 - 103*l**2*z - 271*l*z**2 - 2*z**5 wrt z.\nAnswer: -26172*l**2 - 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (6 + -4 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 4. Let j = 3.7 - 4. Let x = j - -0.3. Put x, s, 3 in decreasing order.\nAnswer: 3, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 274*s + 8507. List the prime factors of k(0).\nAnswer: 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 344, 521, 700, 881, 1064, 1249?\nAnswer: 1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 1 = -5*r - 5*l, 3*r - 4*l = -5. Calculate the greatest common divisor of 89 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.1400591193 - -0.0549.\nAnswer: -5.0851591193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 11*r + 5. Let z(j) = -145*j - 4. Let u(m) = -329*m - 10. Let v(f) = -4*u(f) + 9*z(f). What is 5*n(l) - 6*v(l)?\nAnswer: -11*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 6*o - 9*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4 + 2*t)*(-20 - 21*t + 20).\nAnswer: -42*t**2 + 21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 3 = -17*k. Let r(z) be the third derivative of 0 + 0*z - 4*z**2 + 1\/3*z**k - 1\/24*z**4. What is the first derivative of r(w) wrt w?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 7)*(s**2 + 4*s**2 + 0*s**2) in the form f*s**2 + j + h*s and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 2. Let u be c(1). Let s(n) = 38*n**3 + 3*n - 2. What is the units digit of s(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334975309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*x + 1255 + 35045. Suppose -9*c + x = -285. Calculate the remainder when c is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*o = -142*o. Solve o = 12*q - 22*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18081 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 4. Let d(h) be the second derivative of -h**4\/6 - h**2\/2 + 2*h. Let s be d(-1). Calculate the remainder when f(s) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 180*q - 67. What is the thousands digit of k(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*i**3 + i**4 - 12*i + 13*i**2 + 5*i**3 - 23*i**2 + 6*i**3 - 2*i**4 to the form m*i + u*i**2 + s*i**3 + f*i**4 + c and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 - -30. Let u = -70 + k. Suppose i - u = -0*i. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 347 - 347. Solve p = -0*o + 3*o + 9, 3*o = j - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i + 1. Let a(r) = 2718*r + 10. Determine a(l) - 9*h(l).\nAnswer: 2772*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 17, b: 1}. What is prob of picking 1 b and 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 16 - 10 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 + -144. Let c(n) = -4 + n + 6 + 8. Let y be c(b). Solve -y*u = -7 + 32 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 2*l**2 - 8*l - 2. What is n(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 6*p**2 - p - 6. Let d be t(-6). Let w = 12 + -7. Suppose w*j + 0*j - 75 = d. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by 2491?\nAnswer: 46\/2491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25422603?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + k + 4. Let i be v(0). Suppose 0 = i*q + 12 - 60. What is the greatest common divisor of q and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -250?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 3. Let t = 20 - 14. Let f(u) = -u**2 + 4*u + 2. Let v be f(6). Let l = t + v. Give c(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 441, -142, -6\/7?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/((d*d**(2\/31))\/d))\/d**(1\/7))\/(d**(-12)*d**(-4)*d))**(-29))**(-27) assuming d is positive.\nAnswer: d**(2683341\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4393 + -4402.442. Round z to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -29*x - 4. Let d(z) = -29*z - 3. What is 4*d(r) - 3*m(r)?\nAnswer: -29*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 (base 7) in base 5?\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 4, -67, -208, -443?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106475 and 13025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69566 is divided by 34122?\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 405246 and 1048872.\nAnswer: 17830824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 19.603 * 0.2\nAnswer: 3.9206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160064484*n**4 - 555*n + 25960?\nAnswer: 1920773808*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) 3\/7 (c) -3\/5 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(4)\/(sqrt(98) - sqrt(98)*-1).\nAnswer: 3*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170 + -169. Suppose 0*x - 5*x = 20. Let j be -2 - (-5 - (x + 3)). Sort z, 1\/2, j in decreasing order.\nAnswer: j, z, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -828878.198.\nAnswer: -828876.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (1 - -2 - (5 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -10. Let g = -6 + 3. Let d be g\/2*y + -1. Solve 15 = i + d*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4, 12 + 9 = -o - 3*f. Which is greater: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.94 + -0.06. Let r = 57 + -57.159. Let f = r + 0.059. Which is the closest to u? (a) 3 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 3268.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*b = -6269, 6*b + 6281 = -n + 5*b. Which is smaller: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkss when four letters picked without replacement from skskssssskss.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + -0.3. Put -5, -3, d in descending order.\nAnswer: d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 11*o + 7. Calculate b(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 40. What is the biggest value in w, 5\/2, 0.03?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -2330500?\nAnswer: 2330495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2576.94405 + 2577. Round z to three dps.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2) + 31 - 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 2*x**2 + x - 4. Let a be s(-3). Let m(o) = 4 - 5 + a - 10*o. List the prime factors of m(-2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023 (base 6) in base 8?\nAnswer: -347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 78\/(-52)*(-4)\/2. Suppose 3*z - 147 = -2*d, -257 = -5*d + t*z + 58. Calculate the remainder when 173 is divided by d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642635221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8086 divided by 622?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4192*f**6 - 1098*f**2.\nAnswer: -503040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2164524\/137 or -15798?\nAnswer: -15798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -77. What is the closest to -0.1 in 4, -4\/7, h?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (468 - 466 - 4*r**3 + 12*r**3)*(104 - 104 + 3*r**2).\nAnswer: 24*r**5 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 20 = -j - 3*j, 5*j - 25 = -2*z. Let v(l) = -5*l + 5. Let o be v(-8). What is the highest common factor of j and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -108*p**3 + 98616*p**2 + 186620*p + 36600 = 0.\nAnswer: -5\/3, -2\/9, 915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35278231, 35278229, 35278227, 35278225, 35278223?\nAnswer: 35278221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5 - 2. What is the nearest to h in 0.3, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7469280 divided by 4680\nAnswer: -1596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -3, 1754, 0.68?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 13 + 48 = 31*u. Let c(k) be the first derivative of -15\/4*k**4 + 20\/3*k**3 + 0*k + 30 - k**5 + 0*k**u. Factor c(s).\nAnswer: -5*s**2*(s - 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 11:38 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22094095 - -7?\nAnswer: -22094088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168\/23, -0.1, -141 in ascending order.\nAnswer: -141, -168\/23, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137627060?\nAnswer: 2, 5, 6881353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 15 = -a. Suppose -4*w - 7 = 4*y - 3*w, -a*y = 5*w + 20. Sort y, 3, -3 in descending order.\nAnswer: 3, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 6*m**4 - 81*m**3\/2 + 81*m**2 - 81*m\/2 = 0.\nAnswer: 0, 3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 673558 and 140?\nAnswer: 47149060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 18*c**2 + 6*c - 9. Let k be g(18). Let w be (-1)\/4 + 381\/(-12). Let o = w + k. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431723839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**(-1\/5)*g)\/g)*g**6)**(3\/2)*(g**0\/g)\/(g*g**(-2\/17)*g*g)*(g*(g\/g**0)\/g*g)**(-30) assuming g is positive.\nAnswer: g**(-9279\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5560.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 5625715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*n + 700 - 3636, -2*g + 2 = 0. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14820 is divided by 675.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52144490617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 19*u**3 - u**2 - 2. Let h be f(2). Let z(i) = h*i - 146*i - 4*i**2. Let v(c) = -5*c**2 + 3*c**2 + c**2. Calculate z(v(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -137?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (91\/14)\/(3\/6). Let i(b) = b**3 - 12*b**2 - 12*b - 11. Let k be i(j). Solve 12 = k*o - 6*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 2212322022?\nAnswer: -2212322012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 20*s**2 - 19*s**2 + 169 + 233 - 402.\nAnswer: s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3*6\/8*-4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 17 + 17 + 25 + 0 + 2*t to the form n*t + c and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 + 0.07. Let k = -33.072 + 0.072. Let f = k - -35. Is l equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 59704.4 centuries?\nAnswer: 597044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 122011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*m + 4*d - 26, -4*d = 5*m - 35. Let s(z) = -z + 6*z**2 - 1 - 2*z**2 + z**3 + 4 - m*z. Let h be (82\/(-205) + 8\/(-20))*(-10)\/4. Calculate s(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1642801831 to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - (-14)\/4. Suppose -p*h - h = d - 5, -4*d = -h - 20. Solve 3*n - d*n = -8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1318, -1328, -1354, -1402, -1478?\n\"Answer: -m**3 - 2*m**2 + 3*m - 1318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 345\nAnswer: -4\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1738, -3182, -4554, -5860, -7106?\n\"Answer: -c**3 + 42*c**2 - 1563*c - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 401 = 3*s, -5 = -3*i - 11. What is the remainder when 65 is divided by s\/(-6) - 1\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*q + 740 + 460. Let z(j) = 6*j - 62. Determine z(q).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*z + 14976 = -594. Solve 0 = -30*q + 30 - z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-4*sqrt(168)\/sqrt(4) + sqrt(672)*-2))\/(-6*(sqrt(486)*-1 - sqrt(486))*4)*6)**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 20*b**2. Let q(h) = -24603*h. Calculate q(a(p)).\nAnswer: -492060*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -22*r**2 + 52*r**2 - 5 + 2 + 4*r - 17*r**2 - 19*r**2. Determine p(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*a**5 - 151*a**4 + a**3 + 4153*a**2.\nAnswer: -780*a**2 - 3624*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055864.3 months in millennia?\nAnswer: 171.322025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 10*a - 9. Let r be f(10). Suppose -6*j - r = -13*j. Let t(v) = 6*v + 14. What are the prime factors of t(j)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 6, v: 2, f: 6, r: 2}. What is prob of sequence ll?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2047838 and 1580?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 + 45\/35. Let x be (-3)\/((-9)\/12*a). Let h(s) = -1 + 5*s + 1 - x*s. Let u(f) = 2*f. What is h(u(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*k + 3*i, 4*k + 5*i = 6 + 26. Suppose 8 = 5*d - 6*c + 2*c, 0 = -4*c - 8. Let p(f) = -1 + d*f + 0*f**2 + k*f + f**2 - f. What is p(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 62?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -42346.75 to the nearest ten.\nAnswer: -42350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1039017481?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 9*z - 10. Let v(q) = -2*q + 0*q + 6*q - 3*q + z. What is the lowest common multiple of v(8) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times 10\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d - 4. Let i(p) = -46*p - 48. Let v(w) = i(w) - 12*k(w). Let l(u) = 1038*u**2. Give l(v(q)).\nAnswer: 4152*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-45)*((-49125)\/(-2450) + -20)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164, 688, 1560, 2780?\nAnswer: 4348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -70d - -7b?\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(((k*k**(11\/3)\/k)\/k)\/k))*k*k\/(k*k**10*k))\/(k**(2\/15)*k**7) assuming k is positive.\nAnswer: k**(-217\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -177 + 177 + 2*z. Let c(i) = 272*i. Give k(c(q)).\nAnswer: 544*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (-1839)\/(-6) - (4\/8 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + 26 + -27 + -43.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 5*d**2 - 3*d + 4. Let z be h(-3). Suppose 0 = 5*w - 9*w + 8. Let t(b) = -2*b. Let o be t(-2). Sort w, o, z in decreasing order.\nAnswer: o, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -10. Solve 1 = -2*p + 3*x, -m*x = 16 - 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.4 - 18.4. Which is the nearest to -2? (a) -2\/85 (b) i (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*p*q**4 + 3*p*q**3 - p*q**2 + 5*p + 8*q**4 - 11 wrt q.\nAnswer: 504*p*q + 18*p + 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 74.5 + -0.2\nAnswer: 74.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/16 in 0.483, -2, 24?\nAnswer: 0.483","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.96 - 141.84. Let v = j + 162. Round v to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c\/c**(1\/13))\/c)*c\/c**(3\/5))**32 assuming c is positive.\nAnswer: c**(5152\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s - 19 + s**2 + 10*s - 48*s + 13*s + 21*s. Let o = -9 - -17. Is q(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 40*k - 420.\nAnswer: 5*(k - 6)*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1285 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**3 - 4*l**2 + 6*l. Let m(i) = 13*i**3 - 9*i**2 + 12*i. Give 4*m(p) - 9*u(p).\nAnswer: -2*p**3 - 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 982 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -945 - -541. Let z = i + 398.49. What is z rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o. Suppose o*l = -l + 51. Is 20 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4059\/14 or 289?\nAnswer: 4059\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001502 to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -1\/120*s**6 - 2*s**2 + 2\/3*s**3 + 0 + 0*s - 3\/8*s**4 - 2\/15*s**5. Is b(-7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 11. Suppose -v*f = -c + 4*c - 23, 4*f = 20. Calculate the smallest common multiple of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -178311 (b) -5 (c) -11 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 257753341 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2 - 93\/(-26)) + (-8620)\/4310\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**2 - 4*v + 4*v)*(3 - 1 - 1)*(3*v**2 + v**2 - 5*v**2) to g*v**4 + x*v**2 + n + j*v + l*v**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 378, 561, 742, 921, 1098?\nAnswer: 1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 904737 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -22133806?\nAnswer: -22133801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5253587?\nAnswer: 5253587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 3 + 0*h**3 + 7 - 15*h**3 + 14*h**3 to i*h**2 + d*h**3 + o*h + n and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.081 and 4.\nAnswer: 0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 104 (b) 5 (c) -0.6919\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 7*n**2 + 6*n. Let k be p(-6). Suppose k = -2*f + 75 - 11. Let u(w) = -w + 4. Let t be u(0). What is the greatest common divisor of t and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -4*a + 20, 15*a = 5*b + 76*a - 68*a + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from jcsiiicvscs.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - z)*(4 - 4 - 1)*(-99 - 1201 + 93).\nAnswer: -1207*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0034114 rounded to five decimal places?\nAnswer: -0.00341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwclwwwwcwwww. Give prob of picking 2 c.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276046 is divided by 138022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 341892108872 + -1?\nAnswer: 341892108871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/8*-40*7\/(-84)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 38. Solve y*b = i, 0 = 3*i - 7*i - 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010935326 rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - c)*(1 + 3*c**3 - 1) + (-137*c**2 + 262*c**3 + 137*c**2)*(-c + c + 2*c).\nAnswer: 521*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*l + 0*l = -82, -3*l = -3*i + 63. Suppose 20 = 5*p, 0 = -4*w + 3*p - 0 + 32. Calculate the remainder when i is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4057 - p + 12124 + 1599.\nAnswer: -p + 17780","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15147 and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.61552042 to two dps.\nAnswer: 2.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (468\/(-384))\/(2\/(-24)) + 48\/128.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40, 94, 228, 362?\n\"Answer: 134*u - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 36, 5, -4, -2 in descending order.\nAnswer: 36, 5, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**2 - 3*z**2 - 2*z**2 + (-1 + 0 - 1)*(3*z**2 + 0*z**2 - 2*z**2) - 31*z**2 - 48*z**2 - 44*z**2.\nAnswer: -124*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 5*v - 3*j, j + 4*j - 38 = v. Let i be (-9 - 6)\/((v\/4)\/3). Let l be (-68)\/(-51)*-1*(-3)\/i. What is the biggest value in -2, 0.5, -0.3, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/139 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -15.1 (c) 3\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1)**2*6 + -5 + (5 + (sqrt(19) - sqrt(57)\/sqrt(3) - sqrt(19)) - (sqrt(152)\/(sqrt(8)*-2))**2).\nAnswer: -sqrt(19) + 1805\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 7*q**4\/24 - 2*q**2. Let d(a) = -6*a**2 + 11*a**2 - 3*a**2. Determine d(m(c)).\nAnswer: 98*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d + 9. Let p be (266\/76)\/((-2)\/4). Let x = d - p. Solve x = 2*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-4 - -13) + (4 + -3 - (-24 + 0))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2246 + -2244. Let x be 3 - (4 - (3 - (-184)\/(-90))). What is the nearest to 0 in x, i, 1\/2, 4\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -153.792 - 0.208. Let k = x - -153.6. Sort k, -3\/25, -5 in descending order.\nAnswer: -3\/25, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 848 - 5933\/7. What is the nearest to -1 in v, 0.06, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 34?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56569 is divided by 56125.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 16 - 6 - 7 - 12*i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*f - 5*l, -847*f + 5*l - 22 = -848*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -891 or -890?\nAnswer: -891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5316 is divided by 378.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1425\/2*(-124)\/(-186). Calculate the highest common divisor of 50 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.0465 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -9*f + 200. What is the remainder when 52 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 3:38 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16984\/56 - 8\/28 is divided by 99.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkk when three letters picked without replacement from {k: 3, t: 3, g: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 - 4 = 0. Suppose -b*f - f = -12. Suppose -18500 = f*j + 2*j. Round j to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-49994)\/(-84))\/((-3)\/(-6))*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107747 equal to 107735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 1, b: 2, z: 1, s: 2}. Give prob of sequence zlp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 18, v: 2}. Give prob of sequence vmm.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 838*l*m**2 + 17*l*m*z**2 - 21137*l*z**2 + 10*m**2*z + 98*z with respect to m.\nAnswer: 1676*l*m + 17*l*z**2 + 20*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 253 + -242. Solve -6 = 4*x - j + a, 3*x = -5*j - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 210*p**3 + 117*p - 84*p**2 + 6 - 492*p - 60*p**4 + 5*p**5 - 6 - 16*p**2.\nAnswer: 5*p*(p - 5)**2*(p - 3)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -11*h**2 - 5 - h + 12*h**2 - 2 - 1. Let p be u(0). Let a be (-12)\/p*2\/63. Is 1 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5291563 to the power of 1\/2, to the nearest integer?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 k, and 1 u when three letters picked without replacement from ywywtyyyuwywkyw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/9600682 and 73\/175266?\nAnswer: 86406138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 45, -4, 1 in ascending order.\nAnswer: -4, -1, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 5)*(-5*s**2 - 16*s**2 + 5*s**2)*(35*s + s - s) - s**3 + s**3 + 2*s**3 in the form n*s + t*s**3 + f + o*s**2 and give t.\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1. Let a be 8\/(-220) - (-53)\/(-55). Let m(z) = 30*z**2 - z + 1. What is a*j(i) - m(i)?\nAnswer: -30*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132452736 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248.3417ml to litres.\nAnswer: 0.2483417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188540.5 + -166161.\nAnswer: 22379.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*z. Let j(q) = 55 + z*q + 6*q**2 - 2*q**2 - 52 + 4*q. Calculate j(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**3 + 2*b + 1. Let a(v) = -22*v**3 - 7*v**2 - 19*v - 38. Let p(t) = a(t) + 7*o(t). Give p(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 0.069989\nAnswer: -0.369989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 19)\/4*1. Suppose 4*o + 6 = -2*c + 2*o, 7 = -5*c - 3*o. Suppose 3*u = 4*v - 6*v - 13, 0 = -5*v - u - 26. Sort b, 4, c, v.\nAnswer: v, b, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856 != -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (-51 - -58 - (2 + -4)) + -14.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -131. What is the common denominator of ((-7)\/3)\/((-8)\/p) and (-3 - 135\/(-16))*2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004 (base 5) in base 12?\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4272362*c**2*r**2 - 7*r**2 - 15627*r - 1 wrt c?\nAnswer: 8544724*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 601*s**3 - 146*s**3 + 237*s**3.\nAnswer: 692*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.098 + 0.002. Put x, -0.07, -0.1, 1 in descending order.\nAnswer: 1, x, -0.07, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64297 divided by -113?\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f*p**2 + 2*f*p - 4324*f + 161*p**2 - 2*p wrt p.\nAnswer: 4*f*p + 2*f + 322*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*p**3 + 4*p**3 + 0*p**3 + 10*p**3 + 12*p**3.\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/408 and 21\/30404?\nAnswer: 3101208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 66*i**2 - 894*i - 169. Let b be s(78). Which is smaller: 3106 or b?\nAnswer: 3106","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162*r**5 + r**4 + 8*r**3 + 2*r**2 + 6074 wrt r?\nAnswer: -9720*r**2 + 24*r + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2\/5, -26.2, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*k + 18, -3*k = -5*d + 2*k + 20. Suppose d*m + 3*r = -5 + 36, -3*r - 4 = -2*m. Solve -m*s - 16 = 2*z, -2*s = -2*z - 2*z - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2 = -2*t - 0, -3*w = 2*t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -20, -25, -30, -35, -40?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a888 - 4?\nAnswer: a884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 171007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 16 + 11)*(0*t + t + t) - 973*t - 157*t - 86*t - 201*t.\nAnswer: -1375*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/33)\/(204\/(-748))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369083190.\nAnswer: 2, 3, 5, 7, 43, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((54\/8)\/(-9))\/(12\/(-48)). Suppose -4*c + 0*c = 0. Is o\/6 + c + 3146\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59971*v**3 + 9*v**2 + 24*v - 1067732 wrt v?\nAnswer: 359826*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200 + -131. Suppose -2*t = t - x. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(-11*q + 3 + 0 + 13*q) + 0 + 0 + q + 2*q + 3*q - 3*q + (-4 - 1 + 3)*(-q + 5 - 5) + 2*q + 3 - 3.\nAnswer: 3*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1904167160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from bgycgagyyc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00039330938 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/(-2304)*(-4)\/(-11). Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -8 (c) -0.19 (d) -0.5 (e) 0.09 (f) -12 (g) -29\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**2 - 12*t + 6. Let d(r) = -10*r**2 + 23*r - 13. Let c(q) = -3*d(q) - 5*k(q). Is c(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14801 and -0.05.\nAnswer: 14800.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -25db?\nAnswer: 25d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264590.\nAnswer: 2, 5, 26459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 + -0.3. Let h = u - 1. Let s = 1 - 5. What is the closest to h in s, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 41*v + 37*v = -12064, 4*m - 9652 = -4*v. Calculate the greatest common factor of m and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 3?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 5:39 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(1 - (231\/(-44) + 8)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 greater than -441\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 - -89. Let a = -1 + -1. Let l be (-2)\/(-5) - (-16)\/(-65). What is the nearest to 0.2 in k, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/(-3060))\/(1\/6)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 3 + 0)*(-4*i + 3*i + 0*i) - 2*i - i + 2*i + 0*i + 3*i - 4*i in the form w + o*i and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 45 - 154 = 0. What are the prime factors of q?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/13)\/z*z**(-1)*((z**(-3)*z)\/z)**0)**(-9\/2) assuming z is positive.\nAnswer: z**(261\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 1052855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.6 (c) -3 (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6b (base 14) to base 8\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/360*(-1)\/3*-18*14*5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2265\/(-9))\/((-15)\/9) is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.4, 3, -31\/3 in descending order.\nAnswer: 3, 0.4, -1, -31\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/3 + (-1638)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 17016*u - 13. What is the tens digit of v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232 at most as big as 1223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Let h(d) be the first derivative of 0*d + 0*d - m*d**3 - 11 - 12. Let x(v) = v**2. What is h(x(s))?\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 4, -3\/32?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aawii. What is prob of sequence wi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/4*16\/(-12). Calculate the highest common factor of 48 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200819 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 197060 + -135484. Is f a multiple of 358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200.628 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 5*k - 2, 2*f + 2*f + 4*k = 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 93. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7811, 13426, 19041, 24656?\nAnswer: 30271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 22) + (1 - -26 - 24)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*i - 26*i = 14280. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 9:24 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000701 to seven decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -403*b + 24. Let t be y(8). Let w = 23 + -29. Let f be t\/w*(-7125)\/10. What is f rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*n - 5 + 5 - 3*n + 6 wrt n?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12169 > -12169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**5\/4 - 3*d**4\/2 - 3*d**3\/4 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 59*u - 2900. Give d(49).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1439*t**2 - 4*t - 1. Let v be a(-5). Let r be 2\/6 + v\/18. Round r to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 9:18 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -87*k**8\/28 + k**4\/4 + 73*k**2\/2 - 397*k. Find the third derivative of x(h) wrt h.\nAnswer: -20880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7421 - -7423. Let i be 2\/(364\/366) - 2. Put y, 3, i in decreasing order.\nAnswer: 3, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 137592 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 145729775 to the power of 1\/4, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -146, -286, -514, -860, -1354, -2026?\nAnswer: -2906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/7))**49*v*(v\/((v**(2\/13)*v)\/v))\/v*v**10 assuming v is positive.\nAnswer: v**(596\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 24\/7 (b) -4\/9 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293 - 313. Let z be ((-45)\/(-18))\/(-2*g\/16). Put 0, -0.13, z in increasing order.\nAnswer: -0.13, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 74 - 56 = 0. Suppose -y*n = 5*h - 8*n - 486, -2*n - 292 = -3*h. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 5*a + 6. Let z be y(-3). Suppose -3*o = -2*h - 2, 0*o + 2*h - z = -4*o. Solve 2*t - 5*t = 4*p + 14, 11 = -3*p - o*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from papalpiipiaaiilaia. Give prob of picking 1 a, 1 p, and 1 l.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/((-4455)\/30) - (538\/176 + -3)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 4) to base 7\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 72104246288?\nAnswer: 72104246286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 34078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.29 in -3, 13, 694, -2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 + 13*i**2 - 17*i**2 + 4*i**2 + 7*i**2.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/46? (a) 0.4 (b) -2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f + 23*f + 1 + 4*f**3 + 9*f**2 - 8*f - 4*f.\nAnswer: (f + 1)**2*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**5\/15 - 7*k**4\/3 - 10*k**3 + 40*k**2. Factor h(n).\nAnswer: 4*(n - 15)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-11523)\/253)\/(-3) + 4\/(-22). Solve -l + 2*x = -x + r, -2*l = -2*x + 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + 301*s**2 - 3448*s - 267. Calculate k(138).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16117306 and 5338?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, c: 1}. What is prob of sequence csss?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 42*x**2 - 142*x - 102.\nAnswer: -2*(x + 1)*(x + 3)*(x + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 36 (b) 3\/4 (c) -14\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4*f - 51932, -132*s - 25951 = -134*s + f. Is 21 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - p)*(2 - 5 + 1) - 423*p - 3199*p - 741*p + (-4 + 6 + 0)*(0 + p + 0) to the form l*p + c and give l.\nAnswer: -4359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24528 is divided by 117.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = 0, -5*d + 6 = -2*g - 14. Suppose -d*z + 33 = 2*t - 21, -4*z + 94 = -3*t. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*(840\/(-4368) + (-2)\/52)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 0*p - 8*p + 9*p - 24 + 59. Let u be r(-18). What is the greatest common factor of u and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88 + 58. Let a = f - -51. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 28 = -2*i, -69*w + 70*w + 4*i + 16 = 0. Sort -4, w, 61 in decreasing order.\nAnswer: 61, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 10*r**2 + 11*r + 2. Let j be d(11). Suppose -3*m = 3*n - 90, -4*n + n = j*m - 92. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6252 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/40*5*-1*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(7) - (sqrt(7) - (-5*(sqrt(7) - sqrt(112)) + sqrt(7)))) + 1 + sqrt(1008)))**2.\nAnswer: 504*sqrt(7) + 49401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62436161?\nAnswer: 67, 931883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-42 - -65 - -64).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43248512 and 11136.\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -31023.\nAnswer: -31023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 5*g**2 + 4*g**2 + (2*g + 3*g - 4*g)*(-g + g - 2*g) - 3*g**2 - 3*g**2 - 4*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 129, -5, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/16 and -95\/9936.\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 573\/(-382)*100\/(-45). Factor m + w*m**2 + 3*m**3 + 0 + 2\/3*m**4.\nAnswer: m*(m + 1)*(m + 3)*(2*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-2\/83)*q)\/q**(3\/8) assuming q is positive.\nAnswer: q**(1759\/664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*v + 12, -3*a - 4*v + 12 = -6*a. Solve a = 3*h - 1 - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, 17, 17, 9, -13, -55, -123?\n\"Answer: -h**3 + 5*h**2 - 6*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 876307\/63 + -13907. Let m = 34\/9 - u. Let h = 4614 - 41576\/9. Calculate the common denominator of h and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 698301 and 2886?\nAnswer: 18155826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uutt when four letters picked without replacement from uttttttuttt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 e when four letters picked without replacement from ennnbbnnneeen.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170665 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-812)\/203)\/((-20)\/(-115)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-6) + -1)\/(3 + 3). Let k be 1 - 5\/6 - 138\/(-36). Let t be (k\/6)\/((-28)\/(-6) - 3). Sort 5, t, f in descending order.\nAnswer: 5, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 24*u**2 - 26*u + 3. Let h be t(8). Suppose -8*i = -7*i - 4*n - 354, 0 = -4*i - n + h. What are the prime factors of i?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*d + 14*d - 31270 = -249*d - 85*d for d.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -0*x + 60. Let l(v) = 8*v + 5. Let y be -2 - -3 - (0 - 6). Let q(u) = 9*u + 6. Determine x*q(p) + y*l(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -15 + 1 + (1 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -223407268 divided by 119?\nAnswer: -1877372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 12*y - 10*y - 293, 0 = -4*m - 3*y + 240. Let v be 46\/(-12) - -7 - 3\/18. Calculate the greatest common factor of m and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163809770?\nAnswer: 2, 5, 719, 22783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-281 + 120 + 2)*(-5*j + 0*j + 4*j + (0 + 0 - 2)*(4*j + j - 4*j)) to u + h*j and give h.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3062 is divided by 112.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11636 - 11637. Sort 4, k, -5, -6, -24.\nAnswer: -24, -6, -5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/7)\/(140\/245)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 6*j**2 + 4. Let s be g(6). Suppose 2 + 70 = s*l. What is the highest common factor of 45 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1338 and 18?\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 5. Let z be x(0). Suppose z*n - 3 = 2*t + t, -3*n = t + 1. What is the second biggest value in 0.5, -0.4, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00094109 to 6 dps.\nAnswer: -0.000941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 31, -1, -0.4, 3, 15, 0.4, -2157?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 18*j**2 - 3*j + 1. Let k be r(2). List the prime factors of k\/13 - 12\/78.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = p + m + 18, 3*p - 2 = -m. Let k = -0.47 + 1.27. Let b = -0.9 + k. Which is smaller: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 97, 5 in decreasing order.\nAnswer: 97, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/776 and -139\/4656.\nAnswer: 4656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 102063176.25421.\nAnswer: 102063177.25421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40897 - 6423 = -676*l for l.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(187)*-5 - sqrt(187)) + 3*sqrt(187)*-2)\/(5*sqrt(44)\/sqrt(4) + 1*sqrt(11)*2).\nAnswer: -2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**4\/24 - 5*i**3\/6 - 1048*i**2. Suppose -2*v - 2 - 10 = 0. Let x be r(v). Is x less than 1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + n. Let y be g(4). Suppose 0*h - 4*h + y = 0. Is 3 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/1437 - 130775\/5748. Suppose -3*w - 3*g + 69 = 0, 2*w - 5*g + 5 - 30 = 0. What is the common denominator of j and (-27)\/(-6)*w\/(-21)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4738255283 to the power of 1\/3, to the nearest integer?\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -10 - 2 - 6 + 17*z - 2. Let q = 667 + -662. What is the tens digit of o(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.342 + -10094?\nAnswer: -10099.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7484?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5 = 5*o - 6*o, 5*o - 4*l = 32. Suppose 2*c = 5*v + 847, -53*c + 443 = -52*c + o*v. What is the remainder when c is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*k, k + 0*k = 4*j. Let g(x) be the second derivative of 2\/3*x**3 + k - x - 1\/12*x**4 + 1\/2*x**2. Determine g(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -147 + 47. Let z = i - 21. Suppose z*u - 60 = 2*w - 6*w, u = 3*w + 35. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p. Let w be 1\/((2 - 5)\/3). Let b(s) = -7*s. Let r(c) = -c. Let k(d) = w*b(d) + 5*r(d). Give n(k(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818 times -3?\nAnswer: -5454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -214*c**3 - 2*c - 1. Let y be (-1 - 0)*(0 + 1). Let i be k(y). Let a = i + -138. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -879*a + 743*a = 1552*a - 983 - 12521. Find b, given that -a + 4\/3*b + 4\/3*b**2 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h. Let m(a) be the third derivative of a**5\/15 + 129*a**2. Calculate m(g(k)).\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415381 is divided by 1806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaa. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 770391 and 567?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*x = 43*x + 24. Is 4 a factor of (7 + -6)\/((-3)\/(-192)*x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/20 and 77\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6 = 2*p. Suppose 4*z - p*z = -48. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2258 divided by -5.\nAnswer: -2258\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - a**2. Let f be m(-1). Let g be -1 - (-1 - f) - -11. Let s = 100615 + -100612. Sort 0.5, s, g in ascending order.\nAnswer: 0.5, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15779 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -65 (c) 3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -25. Let t be (m - 2) + (-1 - 0). Let v be (-9)\/6*10\/(-3). Sort 4, v, t.\nAnswer: t, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(3\/12 - 0). Let f(y) = y**3 + 10*y**2 + 8*y + 4. What are the prime factors of f(r)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36.97 or -21.56?\nAnswer: -21.56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.3, -0.05, -19.67?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + -1283015*(-10)\/50. Round d to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 339, 1348, 3023, 5352, 8323, 11924?\n\"Answer: -2*t**3 + 345*t**2 - 12*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 5*m - 84. Let j be p(12). Suppose 469*v - 477*v + 15400 = j. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*d + n, 2*n = -5*d - 9 + 27 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-66)\/(-4))\/(12\/(-16)). Let j be p\/12 - (1 - 3). What is the closest to -0.1 in -1, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/92 and 5\/1012.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231363 is divided by 1323?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let x(l) = -6*l - 5. Give -x(r) - 4*z(r).\nAnswer: 2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 21. Let d(x) = 2*x + 22. Let l(j) = 3*d(j) + 4*k(j). Let q = 38393 + -38402. Determine l(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 161 + 663?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*i**2*j*k - 16*a*i*j + 108*a*j**2*k - 428*a*k - 135*i**2*j**2 - 3*i**2 - 2*i*j*k + 36*j**2*k wrt j?\nAnswer: 216*a*k - 270*i**2 + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 6876.\nAnswer: 6876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 33461651 (base 7) to base 13\nAnswer: 7a9876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 17*w + 1304. Let m be r(-72). Calculate the highest common divisor of 912 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 14*s**2 + 4. Let i be d(14). Let a be (-3 - -2)\/i*-28. Solve z - g + 0*g = -a, 5*g - 26 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 0*y + 0*y + 3*y + 2*y**2 + 2. Let z be m(-2). Solve -5*b + z*p = -p + 5, -2*b - 2*p = -2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (106\/(-80))\/((-53)\/2120)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) -38 (c) -7 (d) 0.2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241.\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 24 - 23 = -10*o + 28*o + 11*o, 0 = 4*l - 3*o - 75 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259804235 divided by 1.\nAnswer: -259804235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u**3 - 20*u**2 - 29*u + 5. Let v(k) = -k**3 - 5*k + 1. Calculate b(q) - 5*v(q).\nAnswer: -q**3 - 20*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 * 980\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 + -63.4. Let p = y - -8.4000098. Round p to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32 - -1) + (-34 - 13 - -32)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -320*a**5 + 3134*a**3 - 1573*a**3 + 18*a - 6*a**4 - 30*a**2 - 1563*a**3 wrt a?\nAnswer: -19200*a**2 - 144*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 39. Let q be (-6)\/21 - 284\/f. Suppose 3*c - q = -2*c, -4*w + 24 = 3*c. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(162) + (sqrt(162)*2 - sqrt(162)) + sqrt(162)) + 3 + 5 - (-5 + (((sqrt(208)\/sqrt(4))\/sqrt(2))\/(-2*(sqrt(2) + sqrt(18))))**2).\nAnswer: sqrt(13)\/27 + 819\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by (-1)\/(3\/9*(-9)\/132).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 79628.89cm?\nAnswer: 796288.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 0*v**4 + 0*v**3 + 1\/756*v**8 + 1\/189*v**7 - 6*v**2 + 1\/270*v**5 + 0*v + 0 + 1\/135*v**6. Determine m, given that a(m) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + (0 + (-1 + sqrt(275) - sqrt(275)) - -2*(sqrt(275) + sqrt(275) + 1*sqrt(275))))**2.\nAnswer: 60*sqrt(11) + 9901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4132061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/16856 and 127\/3096.\nAnswer: 151704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69 * 0.2.\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 103 - 21 - 16 - 29 in the form j*c + t and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 - 36. Let h = s + -14. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459 = 84*s - 135*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 69*o**2 + 17*o - 13. Let k(n) = 17*n**2 + 4*n - 3. What is -26*k(s) + 6*y(s)?\nAnswer: -28*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 525*m**2 - 540*m - 51. Let z(d) = -175*d**2 + 180*d + 19. Let h(u) = -4*n(u) - 11*z(u). Suppose h(r) = 0. What is r?\nAnswer: 1\/35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(5) + -2 - sqrt(5))**2 + 5)*2.\nAnswer: -16*sqrt(5) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 167, 377, 671, 1049, 1511?\nAnswer: 2057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h + 3. What is the remainder when 396\/264*(-2)\/3 - -113 is divided by v(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212 (base 7) in base 14?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -5 (c) -3 (d) -32 (e) -3\/113\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20 (b) -15 (c) -0.032\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 - -0.52. What is the biggest value in -1\/2, 4, z, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 - 72*l**4 - 70*l**3 + 72*l**2 + 71*l.\nAnswer: -l*(l - 1)*(l + 1)**2*(l + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 1674 + 177. Let 0*m**2 + y + 4*m**2 - 3*m**2 - 500 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + 15. What is the least common multiple of 8 and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 0, 17, 50, 105, 188, 305?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 398561, 797101, 1195641?\n\"Answer: 398540*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 15*p - 293. Calculate the remainder when 107 is divided by b(22).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43161 + 4?\nAnswer: 43165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 327 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98670474.\nAnswer: 2, 3, 7, 87011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31383 + -31381. Solve -5*x + 4*h = q, 24*x + 12 = 20*x - 2*h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -242 + 273. Suppose 0 = -z*i + 33*i - 600. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/2)\/(-1) - (-44)\/8. Let i be 13*-1*(x + -4). Let y = i + 58. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 89*y**2 - 52*y - 552. Let r be v(21). What is the highest common factor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 64313.09km?\nAnswer: 6431309000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 7*i - 45. Let d be y(14). Let u(t) = -57 + 111 - d. Let m(o) be the first derivative of o**2\/2 - 3. What is 3*m(a) + u(a)?\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -8b2?\nAnswer: -8b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 times -0.026?\nAnswer: 5.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203321220 + -100?\nAnswer: -203321320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -25ca29 (base 13) in base 8?\nAnswer: -3370110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = 41*c + 58 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155*j**4 + 355*j**2.\nAnswer: -3720*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 521.3983m?\nAnswer: 0.5213983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -49*t**3. Let g(j) = -j**3. What is f(q) - 6*g(q)?\nAnswer: -43*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**12\/g**(2\/15))\/((g\/g**(-38))\/(g*g**(-18)*g)) assuming g is positive.\nAnswer: g**(-647\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 432 - 521. Sort f, 0.5, 2\/7 in decreasing order.\nAnswer: 0.5, 2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 57\/20*d**5 + 3\/5*d**6 - 177*d + 6*d**2 + 33\/4*d**3 + 0 + 13\/2*d**4 + 1\/28*d**7. Determine o so that c(o) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/48 and 89\/15360612?\nAnswer: 61442448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j + 12. Suppose 4*p = 2*p + 14. Is v(p) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -24.6. Let x = o - -3. Let i = x + -0.6000006. What is i rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2774*t**3 - 6335*t**3 - 3542*t**3)*(-2 + 2 + 2*t) as g*t**3 + x*t**4 + h*t + s*t**2 + k and give x.\nAnswer: -25302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = 3*t + 60. Is (6\/8)\/((-21)\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crrc when four letters picked without replacement from {r: 2, p: 6, c: 5}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1695431276724 - 21.\nAnswer: -1695431276745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26203040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -1\/4 (b) 25\/24 (c) 3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117165 divided by -1095.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01192 - 0.01192. Which is smaller: 1\/488 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 10 - 12 = -5*y, -5*y = 4*r + 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(3))\/sqrt(6) + 1 + 2.\nAnswer: sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 21*h**3 - 2*h**2 + h + 2. Let c be g(-1). Let q = c - -32. What is the least common multiple of 11 and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1996631+-0.3\nAnswer: -1996631.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(832) - (-2 + sqrt(832)*-3)) - (-6*(sqrt(13) + sqrt(468)) - -3*sqrt(117)).\nAnswer: -159*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 485 = 5*x. Suppose 5*d - 4*t + x = 0, 5*d - t = d - 71. Let g = d - -25. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(2\/(2*3\/(-6))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 14. Let i = 750 - 462. What is the greatest common divisor of b and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3521 times -5603?\nAnswer: -19728163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by 4847\nAnswer: -50\/4847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**3\/3 + 19*y**2\/2 - 20*y + 546. Factor u(p).\nAnswer: (p - 1)*(p + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1960 divided by -4.\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6774311.\nAnswer: 421, 16091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6\/4*-160*-3*15\/75 and 140?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 30938.\nAnswer: 5\/15469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (22\/6)\/((-2)\/6). Let b = -6 - h. Calculate the remainder when 14 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 - -110. Suppose 5*f - v = 5*l + 6, -2*l - 28 = -3*f. Solve n + n = -f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.47 * -32482\nAnswer: -372568.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (12 - 3) + 4 + -23.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81f (base 16) to base 5.\nAnswer: 31304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55\/259 + -8\/37. Which is greater: s or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111262249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526 - 67 = 153*d. Solve 4*g - 6 = 2*h, d*g + 6 = -h + 23 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 3, 6, 4, -56, 1, 2 in increasing order.\nAnswer: -56, 1, 2, 3, 4, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81809 is divided by 4544.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -74\/5, -2\/11, -2\/3, 1, -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(3*(sqrt(21)\/sqrt(3) + sqrt(7))) + 6*-2*sqrt(847))**2.\nAnswer: 4379767\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/8*7\/(-420)*4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 163.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - -2. Calculate the highest common factor of x and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1\/7, -0.5, 0.3, -1.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:31 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o**(2\/7)*o))))\/(o*o\/(o*(o\/o**(-5)*o)\/o)*o))\/(o**(-5)*o**0) assuming o is positive.\nAnswer: o**(61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 47. Sort -3, -2, a, 4 in increasing order.\nAnswer: -3, -2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12243417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33\/(-22)*31624\/(-3)?\nAnswer: 2, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 5. Let c be q(-3). Let p(w) = -2 + 4*w - w + c*w. Let l(x) be the third derivative of -x**4\/6 + x**3\/6 - 8*x**2 + 4. Determine -3*l(i) - 2*p(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 12:33 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3. Let s be c(1). Let d(z) = z**2. Let b be d(s). Let l(q) = 5*q**2 + q - 1. Give l(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-25 - -78) + -82)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -4016.2442309\nAnswer: 4017.2442309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369 and 74415.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8352123*x + 995766?\nAnswer: -8352123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d. Let r(y) be the first derivative of 17 + 22*y**2 - 95*y**2 + 26 + 60. Determine i(r(o)).\nAnswer: -438*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*i - 4*i + 4*i)*(4 - 14 - 4) - 3*i + 9*i + 6*i)*(9 - 15*i**2 + 14*i**2 + 1).\nAnswer: 16*i**3 - 160*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15715 divided by 3\nAnswer: -15715\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 145 - 108. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 10) in base 2?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -51. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2. Let z(u) be the second derivative of -13*u**6\/180 + 5*u**3\/3 + 24*u. Let s(c) be the second derivative of z(c). What is s(d(q))?\nAnswer: -104*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 312094320 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - 96. Let y = -150.5 - f. Which is the closest to -1? (a) -1 (b) -1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6415601 to the nearest integer?\nAnswer: 2533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((40\/(-5))\/(-4))\/((-47)\/((-44180)\/40)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 8*p**2 + 15*p - 10. What is g(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 1:15 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70.000039 + -70. Round b to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 9*o**2 + 11*o + 8. Let r be j(-8). Let u be (-1)\/(66\/r + 4). Solve 0 = 4*p - 6*p + u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5831 = -2*c - 5*h, 8732 = -120*c + 123*c - 7*h. Calculate the remainder when c is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4 + 3*s**2 - s**3 + s + 0*s + s. Let a be q(3). What is the units digit of 2\/(-4)*a - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c1 + 3?\nAnswer: -3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(0 - (-4 + 7)). Find the third derivative of 51*d**3 + 2*d**4 - 37*d**q + 7*d**3 + 43*d**3 - 82*d**2 wrt d.\nAnswer: 48*d + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118769 - 118786.18408. Let u = w - -21.1842. Let c = -4 + u. What is c rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 4. Let j be l(6). Let i be (j\/4)\/((-2)\/(-8)). What is the second derivative of 2*w - i*w**3 + w - w wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r - 30. Let d(o) = o**2 + 6*o + 11. Let p be d(-3). What is the remainder when 4\/p + (-28)\/3*-6 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 180*u + 462. Calculate the smallest common multiple of 4158 and d(0).\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/(-10))\/(-42))\/((-3496)\/(-2576))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 1. Let m = 41 - 34. What is the units digit of p(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 = -2. Suppose -2*i - n = -11. Suppose 5*m + 476 = i*p, 586 = 5*p - 6*m + 2*m. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -407 + 402. Sort 41, 0, j in decreasing order.\nAnswer: 41, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437*i - 44325 = -452*i. What are the prime factors of i?\nAnswer: 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 8*w**2 - 6*w - 4. Let x be k(7). Suppose 0 = -t - 4*t, -x*m = 3*t - 693. What is the highest common divisor of 21 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093809 divided by -364603?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + t**2 + 8. Suppose 3*n = 6*n - 3*o - 6, 0 = 4*o. Let s be n\/3 - 4\/6. What is g(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -34*y + 19. What is v(-5)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**3\/7 - 28431*f**2\/7 + 67572873*f\/7 - 1007206245\/7 = 0 for f.\nAnswer: 15, 4731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + c. Let t be o(-1). Let l = 6 + t. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3, -38?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggwg when four letters picked without replacement from ggwggww?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*t + 3*w = -19*t - 2, 5*t + 4*w = -29 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1718*o**2*v**3 - 41*o*v**3 - 6*o*v**2 wrt o.\nAnswer: 3436*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-15)*(-2 - 60\/(-48)). Let v(s) be the second derivative of 0*s**3 - 9*s + 0*s**2 - 1\/12*s**4 - 1\/10*s**6 - 1\/42*s**7 + 0 - x*s**5. Factor v(n).\nAnswer: -n**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u**2 + 3*u. Let a(v) = -4*v**2 - 2*v. Suppose 3*n - 6*n - 12 = 0. Let r(g) = n*d(g) - 10*a(g). Suppose r(i) = 0. What is i?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229776 = -23*o + 7*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -27 (b) 5 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 409, 974, 1917, 3238?\nAnswer: 4937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1470.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5602 is divided by 706.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1013104885 by 77931145.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) -0.2 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3176.6 - 3177. Which is the biggest value? (a) -1\/17 (b) -47 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*t = -t + 27, -3*t = -2*l + 3. Suppose 5*f + l = 7*f. Suppose 4*c + f = 15. Solve g - 2*s = -c*s - 10, 3*s = 4*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (41 + -46 - (-15 + 0))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*o*u + 40*o with respect to u.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373540 is divided by 16239.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = u + 2. Suppose 0 = -4*r - 2 - 2, 0 = -u*s + r + 5. Is 3 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*j - 103*j + 74 + 484 = 0. What is the remainder when (-1 - 0)*(-3 + -425) is divided by j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8438, -15201, -20280, -23675, -25386?\n\"Answer: 842*o**2 - 9289*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**3\/3 + 3*v**2 + 5*v + 26. Suppose y(z) = 0. What is z?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -331, -1234, -3001, -5920?\nAnswer: -10279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.7 + 6.69999898. What is b rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.59 - 9. Let y = -12.41 - v. Let o = 0.201 - 0.101. Is o at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 678027156?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5. Let k be (1*-7 - q) + 2. Let j = k - -6. Solve 2*d = 5 + j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324716 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + 6*(sqrt(325)*-1 - sqrt(325)) - (-4*(-2 + sqrt(325)) - (-3 + sqrt(325) + 0 + sqrt(325))))**2*-3.\nAnswer: -35607 - 2340*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 969 divide 3440100760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2546562*x. Let p(f) = -8*f. Calculate u(p(d)).\nAnswer: -20372496*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20011 + 21?\nAnswer: 20102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 a when four letters picked without replacement from {a: 12, o: 1}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -2, 7 in decreasing order.\nAnswer: 7, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -571962*i**6 - 73*i**5 - 63534427*i**2 wrt i?\nAnswer: -68635440*i**3 - 4380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + y - 12 = 0, -5*y - 3 = 4*f - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40975.49 - 41295. Let m = f - -318. Let o = -0.51 - m. What is the second biggest value in o, 5, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let r be g\/(-6) + 348\/18. Let t(z) = -2*z**2 + 112*z + 119. Let u be t(57). Solve 0 = -u*i - r - 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**5\/5 - 4362*z**4\/5 - 105918*z**3\/5 + 171338*z**2\/5 + 287772*z - 529200 = 0.\nAnswer: -25, -4, 2, 3, 2205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 13*y**3 - 4*y**2 - 4*y + 44. Let x(k) = 12*k**3 - 3*k**2 - 3*k + 43. Let c(l) = -3*n(l) + 4*x(l). Find the first derivative of c(r) wrt r.\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 0.5 (c) -5 (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45273487?\nAnswer: 7, 367, 17623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-87)\/(-27) - 1 - 2\/9. Let a be (-3 + b)\/(8\/16). Let p(r) = -5*r + 2. Give p(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 12:46 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m + 56*m - 79*m + 7 - 6.\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/(5 + -12 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19\/7 - 2\/(-7). Let q be 2\/(4 + -2)*h. Find the second derivative of j**q + 0*j**3 + j + j**3 wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48191144 + 1.6.\nAnswer: -48191142.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19654 and 992.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3724 and 1216.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15adc8 + -1?\nAnswer: -15adc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 9:35 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + n - 20 = 0, 0 = -2*d + 4*n - n - 5. Suppose 0 = -4*w + 5*t - 52, d*w + 2*t = -0*t - 32. Let o = 29 + w. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (1 + 12)) + (-11 - 2 - -115) - 10?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 2*d + 5*f, -5*d = f + 1 - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 4:34 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2149 + -0.236. What is z rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 2*i + 2*i**4 - i - 6*i**4 + 2 + 6*i**4 in the form q*i**3 + l*i**4 + m*i + a + v*i**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 141*t**2 + 3*t. Let w(x) = -7*x - 15*x + 29*x - 5*x. Give w(l(r)).\nAnswer: 282*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54738546 by 18246182.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 8:28 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/r**(-4)))**(-36)*r**(-13\/3)\/r**(3\/2) assuming r is positive.\nAnswer: r**(1045\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**5\/5 - k**3\/6 - 5*k. Let h(s) = -s**3 - s**2 + 3*s + 1. Let q be h(-2). Let g be r(q). Sort 3, 0, g in increasing order.\nAnswer: g, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - -2. Suppose b = 3*f - 6. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -1\/210*s**7 + 0*s**3 + 0*s**4 + 0*s + 0 + 11\/60*s**5 + 0*s**6 + 8*s**2. Find the third derivative of f(a) wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 - 26*c**2 + 3*c + 5. Let p(k) = -4*k**3 + 51*k**2 - 5*k - 9. Suppose -180*t + 955 = 29*t - 18*t. Determine t*s(y) + 3*p(y).\nAnswer: -2*y**3 + 23*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*x = 7, -2*f - x = x - 14. Suppose z + n = -2*n + 14, 0 = -2*z - f*n + 20. Solve k - 13 = -4*j, k = -k - j - z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 7. Suppose 55 = 2*c - j. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 41 = 5*t + 2*l, -l + 33 = 3*t. Suppose 112 = 3*c + 7*o - 5*o, 0 = 4*c - 5*o - 157. What is the remainder when c is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 27. What is the remainder when p is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 6:03 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*x**3 + 624*x**2 + 193*x - 8.\nAnswer: -(x - 8)*(3*x + 1)*(27*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*w + 4116 = 0, o - 311 - 1729 = 2*w. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6740 and 520.\nAnswer: 175240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9477d99 + 2?\nAnswer: 9477d9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4097\/5049*-11 - (-2)\/(-27). Let u(z) = -z - 20. Let v be u(-10). Let r = 71\/7 + v. Which is the biggest value? (a) -3 (b) -0.5 (c) r (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81792.65203 - -399.\nAnswer: -81393.65203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.01 in 0.1, 1, 10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -946, -3747, -8412, -14941?\nAnswer: -23334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)\/(j\/j**(5\/8)) assuming j is positive.\nAnswer: j**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - (2*-17 - 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 158 and -519867.\nAnswer: -519709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11275 or 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -809463.31 rounded to the nearest ten thousand?\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Let q = d - 6. Let j be -2*(q - (-22)\/(-4)). Solve 4*s - j = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-15))\/((-1)\/(-5)). Let i be (2 - u)\/(10\/5). Suppose 2*t - 3*t + 64 = i. Is 32 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 439\/4774 - 5\/4774. What is the nearest to -0.1 in -0.1, 0.09, x, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8207568 and 455976?\nAnswer: 8207568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 3. Let n be s(6). Let r be (-19)\/n - 3\/9. Is 112\/6 - r\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 4859664?\nAnswer: 34017648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**25*((o\/(o*o**4))\/o)\/o)**(1\/7) assuming o is positive.\nAnswer: o**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/48603 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5*h + 3 = 15, -p + 74*h - 81*h - 20 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (931 - 451 - 453)*(-5*r**2 + 2*r**2 + 2*r**2 + (2*r + 4*r - 4*r)*(-1 - 2*r + 1) + r - r**2 - r + (1 - 1 - r**2)*(2 + 1 - 2) + 7*r**2 - 4*r**2 - 4*r**2).\nAnswer: -216*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195 - 172 - (-1 + 14 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 + 55. Let y(b) = 0*b**2 + 6 + b - 3 + b**2. Is y(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -305, -2, -1204 in decreasing order.\nAnswer: 8, -2, -305, -1204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4901*u**3 + 1312659?\nAnswer: -14703*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3 - -1) + 336\/(-40))*(-7 + (-312)\/(-16)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 82373532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 554107 rounded to the nearest 1000?\nAnswer: 554000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -0.04, -5, 0.08, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s - 15. Let x = 171 + -72. What is the third derivative of -x*a + 99*a - 4*a**2 - s*a**3 wrt a?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2485*i*j**3 + 5*j**3 + 54*j**2 + 2*j wrt i?\nAnswer: 2485*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -534337, 0.5 in increasing order.\nAnswer: -534337, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a + 2*l = 16*a + 1, -5*l + 1 = 2*a. Let d be (-15)\/(-4) - 1\/(-4). Factor 12*r**4 + a*r**5 - 3*r + 5*r**4 - 11*r**d - 4*r**2 - 2*r**2.\nAnswer: 3*r*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*w - 3672, 2*l - 16*w - 3654 = -18*w. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - p = 4*y + 4, 25 = 5*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202121 (base 3) to base 2.\nAnswer: -10100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 3:37 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhwwhwhhwwhhwhhwwwww. What is prob of sequence hww?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-1) + (-16 - -36). Let c be -2*4*(-14 + -2). Calculate the highest common factor of c and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/28 and 43\/702?\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from {e: 1, f: 5, w: 5}?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 595.9 - 573. Let q = l - 22.899999894. What is q rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11493 + 346*i**2 - 11493 + 1004*i**2 as d + y*i**2 + n*i and give y.\nAnswer: 1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3452 take away 6600?\nAnswer: -10052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1001110111 (base 2) to base 3\nAnswer: 212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2917998.212 - 6.1971\nAnswer: -2918004.4091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 30*a**2 + 0 + 0*a - 25\/24*a**4 + 37\/3*a**3. What is the first derivative of b(x) wrt x?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52\/33 + -1\/11. Suppose 0*c = -c - 88. Find the common denominator of h and 26\/(-143) + (-93)\/c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 123*m**2 + 840*m - 190. Let w(s) = 3*s**2 + s + 1. Let y(k) = 6*w(k) - 3*x(k). Factor y(i).\nAnswer: -3*(9*i - 2)*(13*i + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*h**2*r + 60*f**2*h**2 + 69*f**2*r**3 + 31*f*r + 15*h**2*r**3 + 14*h**2*r**2 wrt f?\nAnswer: 2*h**2*r + 120*h**2 + 138*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*n + 42*n + 15995254 = -26288845. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/23)\/c)\/c*c*c\/(((c*c\/c**(6\/7)*c*c*c)\/c*c)\/c)*(c**1*c)**(-37) assuming c is positive.\nAnswer: c**(-12434\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) 2 (c) 118 (d) -2080\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -3\/28*u**4 + 0*u - 18 + 9\/14*u**2 + 2\/7*u**3. Factor c(a).\nAnswer: -3*a*(a - 3)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/39, -14, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**2 - 3 + 3 + (-1 + 5 + 1)*(3*p**2 + 5*p - 5*p) - 6*p**2 - p - 2*p + 8*p**2.\nAnswer: 14*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, d: 1, h: 6, x: 2, o: 9}. Give prob of sequence ixoo.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 3\/428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbbd when four letters picked without replacement from dbbdbvdddbdddd?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 13, v: 3, w: 4}. What is prob of sequence wwww?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14880139.\nAnswer: 14880139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k - 413 = -37*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/175 and 25\/14?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 4. Suppose 45*q = -9*q - 12 - 42. Let m(v) = -v**3 + 2*v**2 - 2. Let b be m(2). Let f = b + q. Give u(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvwvwccvcv. Give prob of picking 2 v.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 9 - 3 - 6*i + 5*i. Let w(f) = -f + 7. Let a(t) = 4*c(t) - 3*w(t). Let u be a(3). Solve 3*v + 2*k = 16, -v + k = -u + 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -523, -516, -505, -490, -471, -448?\n\"Answer: 2*x**2 + x - 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 166?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.65 and 4.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133708*m - 172 = 5*f + 133717*m, 41 = -f - 4*m for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 3*c + 26 = 47, j = 3*c + 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 307665670 to the power of 1\/2, to the nearest integer?\nAnswer: 17540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 18, 7, -8, -27, -50, -77?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - -4.7. Let v = 0.3 - -5.7. Let y = -5.7 + v. Which is the biggest value? (a) -4 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 423 divided by -3\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.168 + 0.168. Which is the third biggest value? (a) l (b) -0.074 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 - 3*j**2 - j**2)*(-1 - 2 + 5) + (-2*j - 3*j + 3*j)*(1 + 2*j - 1) to the form f + q*j + r*j**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - c + 1. Let q be h(2). Suppose 5*f - q = 13. Solve -f = 2*x + 4*w, x - 2*w + 0*w = 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/40 (b) -14\/165 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32287\/5097 - 2\/1699. Let l = u + -37\/6. Suppose 4*z + 3*o + 17 = 2*o, 0 = -3*z + o - 18. What is the fourth biggest value in z, -2\/5, l, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**2 + 2 + 0*x**2 + 9*x - 6*x**2 in the form l + c*x**2 + z*x and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**3 - 1925*i**2 = 0. What is i?\nAnswer: 0, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43468907 - 483*x + 43468907.\nAnswer: -483*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3*p = -x - 3, -x + 2*p = -5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74)\/4*8\/(-560)*-35.\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -182 from 189733805.\nAnswer: 189733987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24556589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -324 + 503. Is 38 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 13*a - 2 = 18*a, 3*a = -k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (40\/(-48) - 2\/(-6))*-50. Suppose 21*a - h*a = -12. Suppose -a*j + 58 = 22. What is the greatest common factor of 96 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387656157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**(1\/2))\/q)\/q)\/(q*q**17))\/(q**(-1\/4)*q)**48 assuming q is positive.\nAnswer: q**(-111\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2588?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1160024878*s**3 - 1008893654 wrt s?\nAnswer: -3480074634*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12 = -0*z. Let s = -7 - -7. Let r(a) = -5*a + 5 + 1 + s*a**2 - a**2 + 2*a**2. What is r(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4984 + 254?\nAnswer: -4730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15116 is divided by 210.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3\/8 + 279*s**2\/2 - 12987*s\/2 + 81120 = 0. Calculate s.\nAnswer: 26, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 46780\nAnswer: 1\/46780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p + 56. Let j be v(6). Let g(o) be the first derivative of -6*o - 1\/2*o**j - 2. Calculate g(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -69, 2\/3, -114880.\nAnswer: -114880, -69, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9*a. Let h(j) = -5*j**2 + 15*j**2 - 7*j**2. What is h(f(z))?\nAnswer: 243*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 - -12e727c?\nAnswer: 12e7265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -0.166 (c) 0.5 (d) -5 (e) -3 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 550958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*y - 62*y + 53 = 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 x, and 1 y when three letters picked without replacement from {r: 1, x: 2, y: 1, k: 2, s: 1, t: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 7*c**2 - 2*c - 10. Let h be i(-7). Let z be (2 + 3)*(h\/(-2) + 3). Put 7, -3, z, -5 in increasing order.\nAnswer: -5, -3, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u - 2*u + (1 + 5 - 4)*(-3*u + 6*u - u) - u + 2*u - 2*u)*(102 - 3 + 59)*(2*u + 2*u - 5*u).\nAnswer: -158*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9552 = -5*v + 59052, -4*v + 2*q + 39578 = 0. Calculate the lowest common multiple of v and 2.\nAnswer: 19794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(735\/(-738) + 1). Find the common denominator of (3\/(-20))\/(9\/a) and 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.1 - 5.2. Let q = -1.8 - -2. What is the nearest to -0.1 in q, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r - 17*r - 17*r + r to l + x*r and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1a25aa3 (base 12) to base 16\nAnswer: -5451db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 18*y**2 - 2*y - 20. Is z(14) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2165 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -4 + 0 + 20*n**3 - 19*n**3 - 2. Let o(v) be the second derivative of 5*v**3\/6 + 4*v. Give o(c(m)).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**2 - d - 1. Let w(s) = 1. What is -v(t) - w(t)?\nAnswer: -6*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-33)\/(-12) - (2043\/36 - 2)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 489758388*d**3 + 578094382*d.\nAnswer: 2938550328*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**3\/5 + 142242*w**2\/5 + 39759552*w + 68468854176\/5 = 0?\nAnswer: -684, 48782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2*501012\/48. Let y = c + 5226. Calculate the common denominator of y and -33\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -46 + 47 + -35?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 8)*(-3*x**3 + 4*x**3 + 0*x**3) to h*x**3 + m + n*x**2 + d*x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-11)\/((-770)\/(-15)))\/((-72)\/(-48))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -43. Let r be o\/2*6\/(-3). Solve -4*j + r = -7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.007 * -1.682\nAnswer: -0.011774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5 - 11760*v**4 + 11501163*v**3 + 46510902*v**2 - 310745484*v - 1039349880 = 0. What is v?\nAnswer: -6, -3, 5, 1962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 + -8 + (-45)\/18. Put 0.02, 2, 6\/5, p in ascending order.\nAnswer: p, 0.02, 6\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538*x = 545*x - 35. Solve 0 = -4*r + x*y + 7, 0*y = -4*r + 3*y + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**20)**35*(((p**7\/p)\/p)\/p)\/p*p\/((p*p*(p**24*p)\/p*p)\/p)*p)**(-2) assuming p is positive.\nAnswer: p**(-1358)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77\/68 + 2\/17. Let h be ((-92)\/161)\/((-2)\/982). Let i = h + -280. Sort r, -1\/3, 3, i in decreasing order.\nAnswer: 3, r, i, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 51, -2\/17, -1\/4, 2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*m**2 - 54*m**2 + 116*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + (sqrt(475)*1 - sqrt(475)))*-3 + sqrt(475))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -410 * 567313.\nAnswer: -232598330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3890.\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 94473.1131 rounded to the nearest one hundred?\nAnswer: 94500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from vleolrlrolorvlvow?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -4*g - 14. Let c = -5 + g. Solve -3*l + 7 = c*v, -5*v + 2*v - 18 = -5*l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/10)\/(-2*5\/2150). Let z = c - 25. What is the remainder when 121 is divided by z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34430*h**2 + 19130.\nAnswer: 68860*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1697455 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 4\/3 (c) 1\/7 (d) -107 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -m - 13. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2360*g**3 + 1 - 11*g + 12*g + 22*g**2 - 2376*g**3 as q*g**2 + t + m*g + n*g**3 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) 2\/3 (c) 96502\/5 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 178 + 209. List the prime factors of j.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 - (-8 + -13 + 20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 8*t, 20004*f - 20 = 20012*f - t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/9, -2, -444, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 155, -2, -6\/11, -1\/5, 776?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.41722 nanograms to milligrams.\nAnswer: 0.00007141722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -25522.04889 from 53.\nAnswer: 25575.04889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.551 + -25.549. Let k = r + 26. Sort 4, -0.8, k in decreasing order.\nAnswer: 4, k, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4*252\/(-14). Let h(z) = z**2 + 8*z - 13. Determine h(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/855 - 48\/(-360).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4431.49 * 0.4\nAnswer: 1772.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**3 - 3*n**3 + 14*n**3 - 34*n**3 + 6*n**3 + 7*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -3562 in ascending order.\nAnswer: -3562, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13702395 divided by 3\nAnswer: 4567465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.3, -0.33.\nAnswer: -3, -0.33, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2610348.\nAnswer: 2, 3, 13, 29, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 31 = -0*n + 5*i, 2*i = -10. Let a(j) = -j**3 + 2*j**2 + 3*j + 4. Let y be a(n). Calculate the highest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-7\/3))\/s)\/s*s**(-10))**(8\/7)\/(((s*s**(1\/2))\/s*s)**(-1\/23)*(s**2)**28) assuming s is positive.\nAnswer: s**(-63601\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -430 bigger than -46056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 38*k - 171000. What is k rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 58 - 38 = 0. Let o be (-4)\/16*0\/(-2). Solve -a = -l - o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/(-8)*(-143)\/(-140712) and 9\/82?\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - (-29 + 5 + 12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aag when three letters picked without replacement from {a: 2, b: 2, g: 2, i: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -43*q + 1. Let i be u(2). Let y = i + 770\/9. What is the common denominator of y and 186\/44 - 1\/2?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -521 + 593. Find the second derivative of 78*x + 3 + b*x**3 + 73*x**3 - 58*x wrt x.\nAnswer: 870*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 16\/11, 0, -1\/6, -1, -19, -12?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 86, 179, 328, 551, 866, 1291?\nAnswer: 1844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 5*r**2 - 4*r - 1. Let n be c(-4). Let v be 10 + -2 + (n - -3). Suppose 3*o - 12 = -3*d, -o - 5*d + v = 2*o. Put o, 0, -4 in decreasing order.\nAnswer: o, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 424 - 424. Sort z, -1, 1, -9 in decreasing order.\nAnswer: 1, z, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 10:08 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2. Suppose -p - 9 + 3 = 0. Let m(j) = 5*j**2 + 3*j - 3. Let x(k) = 21*k**2 + 13*k - 13. Let l(g) = p*x(g) + 26*m(g). Give l(n(f)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404717*p**2 - 404717*p**2 + 128089*p**3.\nAnswer: 128089*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3)*-1*(-30)\/(-20). Which is the closest to n? (a) 4 (b) 5 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 8*n + 2. Let s be p(-5). Let u(q) = s*q - 11*q - 7*q. Let x(g) = -8 + 8 - 3*g + 12*g. What is u(x(a))?\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-550836)\/(-130) - ((-16)\/20 - 0).\nAnswer: 2, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13876, -27748, -41622, -55498?\nAnswer: -69376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.98 - 4. Let v = 4007 - 4012. Which is the second smallest value? (a) z (b) 3 (c) 5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/18 and -58\/5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/89 - 159\/1691. What is the third biggest value in 0.1, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 2*f - 1. Let k(q) = -137*q**3 + 2*q**2 - 3*q - 82. Let g(h) = -k(h) + 2*s(h). What is the second derivative of g(b) wrt b?\nAnswer: 822*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h**2 + h. Calculate the remainder when (-2)\/3*((-174)\/12 - 5) is divided by r(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, -1, -3, 247664 in ascending order.\nAnswer: -14, -4, -3, -1, 247664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 66 - 442)*(3*x**2 + 2*x**4 - 3*x**2).\nAnswer: -762*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h**2 - 19*h - 5. Let r be o(-2). Solve -13 - r = -14*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n**2 + 5*n**3 + n - 2 - 9*n**2 + 0*n**2 + 796*n**3 + 2*n**2 in the form k*n**2 + h*n + m*n**3 + g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*s**3 - s**2 + 291961*s + 23844961.\nAnswer: -48*s**2 - 2*s + 291961","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3*u**2 - 2272879*g**3*u + 70537187*g**3 + 17*u with respect to u.\nAnswer: 4*g**3*u - 2272879*g**3 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687561 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*g + 19 + 223*g + 3 - 90*g as s + j*g and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 11:05 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 19*k**2 + 16*k + 39. Let g be o(18). Suppose 0 = -g*h - 2*x + 1100, -5*x + 1476 = -2*h + 6*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o - 25, -3*z + 2*o + 2377 = 0. What is the units digit of -8*((-1)\/(-7) - z\/84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-9)\/x)\/x)\/((x\/(x\/(x*x*x**(-14)*x*x*x)*x))\/x*x))**(4\/11) assuming x is positive.\nAnswer: x**(-4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3385*p - 139*p + 64 + 237*p - 63 to the form c + z*p and give z.\nAnswer: 3483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*x + 3. Let j(z) = 2*z. Let c(d) = 3*d + 1. Let o(m) = x*j(m) + 5*c(m). Differentiate o(r) with respect to r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -69) + (11 - 26 - 6)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1580 + 1585. Solve 12 - 27 = -p*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51)\/(-3) + (2 - 3). Suppose -2*z = 5*f + 14, 0 = -f - 3*f - t. Is (0 - -267)\/z*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-4)\/y)*y*y*y**(-2\/9))\/(y\/(y\/(y*y*(y\/(y\/y**(1\/2)))\/y)))**32)**(2\/7) assuming y is positive.\nAnswer: y**(-724\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.971*-0.5.\nAnswer: 1.4855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**3\/3 + 4*t**2 - 8*t - 4. Let j be 12*1\/(2\/1). Let c be z(j). Solve -15 = u - 5*b, -5*u + c*u = 5*b - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.52 - -29.52004786. Round z to six dps.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10297.\nAnswer: 7, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3*r + 2917, 0 = -4*q - r - 0*r - 2337. What is the common denominator of 2*(-6)\/(-56)*q\/(-24) and -39\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1277156 (base 8) to base 15\nAnswer: 71a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*h**2 + 21*h**2 + 3*h**3)*(2 - h - 2 + (-2 + 0 + 4)*(6 - 6*h - 6) + 21 - 9 + 4*h - 13).\nAnswer: -27*h**4 - 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3 + 2*s**2 + 2*s + 2. Let v(m) = 3*m**3 + m**2 + m + 5. Let n(l) = 4*l**3 + l**2 + l + 6. Let o(c) = 4*n(c) - 5*v(c). Calculate 2*o(i) + q(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 6*q + 42. Let c be k(-10). Let j(x) = x**3 - x**2 + 3*x + 5. Let b be j(c). Solve -g + 3*u - b = 3*g, 20 = 4*g + 4*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -19847.\nAnswer: -19846.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5851\/45441 - -10559371\/908820. Let x = t + 1\/405. Calculate the common denominator of x and -53*(5\/2)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*d - d - d)*(1 + 2 - 5) + 50*d + 23*d - 21*d)*(2 - 2 - 2)*((2*d + 2*d - 5*d)*(2 + 2*d - 2) + 0*d**2 + d**2 + 6*d**2).\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4+0.558\nAnswer: 4.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**4\/6 + 4*z**3\/3 + 7*z**2\/2 + z. Let a be (3\/(-5) - (-40)\/25) + 3. Suppose 13*v + 45 = a*v. What is w(v)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12 - 17\/102.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-324) - 10\/(-280)*-7.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3 = -13. Suppose -3*d + 15 = -3*j, 4*d + x*j - 20 = 5*j. Differentiate -7 + 0 - 8*z**2 + 8*z**2 + d*z**3 with respect to z.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 9*t**2 - 2*t. Calculate the lowest common multiple of z(-9) and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.028, 0.01, -19, -0.15, 5, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -122.\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75 + -167?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - -4. Calculate the greatest common factor of b and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 20*c + 0*c**3 - 2 + 0*c**4 - 21*c**2 + 21\/20*c**5. Differentiate i(l) wrt l.\nAnswer: 63*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8602?\nAnswer: 2, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12544, 61, 18\/5?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 22 = -5*y + 3, 15 = -3*i + 3*y. Let a = -1095923\/295 + 3715. Which is smaller: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 - 8 = 4*r + 3*z, 5*z - 60 = -2*r. Let d be 5\/r + 0 + 0. Sort -2\/5, d, -3\/7 in decreasing order.\nAnswer: d, -2\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26493 and 1406.42.\nAnswer: -25086.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2004972519 - 0.382.\nAnswer: -2004972519.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 613507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19769725, 19769744, 19769763, 19769782, 19769801?\n\"Answer: 19*d + 19769706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262575, 262618, 262661?\nAnswer: 262704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 45175 = -135380. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2313 + -4.2313. Which is the nearest to 0? (a) -2 (b) p (c) 16 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(833) + -1 + (2*(sqrt(68)*1 + sqrt(68)))\/(sqrt(4) - (-2*sqrt(4)*6 - sqrt(4))).\nAnswer: -4 + 51*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 + 36 = 6*g. Let p be (114 + -1)*1 + 16\/4. What is the greatest common divisor of p and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bndkk. Give prob of picking 1 k and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnpvpvppvvnvvnvpv. Give prob of picking 1 n and 3 p.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 140\/42*(-138)\/(-1150)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1583788\/13 + 121764. Let v = j - -66. Put 2, 1, v in decreasing order.\nAnswer: 2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7384, -14467, -21550?\nAnswer: -28633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 674175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -11*m + 74. Let o be n(7). Let r(s) be the first derivative of -s**4\/4 - s**3 - 4*s + 4. Give r(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38.4 and -746459808.931.\nAnswer: -746459770.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + 21*w**2 + 10*w + 14. Let b be d(11). Is b + 3789 + (3 - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 3\/2) + 7105\/(-70). Let j = f - 51. Let u = 412 + j. Calculate the highest common divisor of u and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-1 - (521\/5 + -2)). Suppose 0 = 3*a + 12, 2*f - 7*f - a + z = 0. Let r = f + -100. What is the least common multiple of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.22, -5, 2, -3.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-9 + 4) - -1) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -1\/30*g**6 + 1\/10*g**4 + 2\/15*g**3 - 1\/25*g**5 - 1\/5*g - 6 - 1\/10*g**2. Factor j(z).\nAnswer: -(z - 1)**2*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 168 - 3527\/21. Suppose 18 - 261 = -3*y. Let r = -81 + y. Which is greater: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/7*(-63)\/315)\/5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16574788 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 - 1 = 0. Suppose -3*u + 7 = 2*i, -2 = i + p*u - 6*u. What is the first derivative of -2*m**2 - 2 + 3 + 0*m**i wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5 = -1. Let q(x) = x**3 - x**2 - x - 13. Let f be q(4). What is the greatest common divisor of j and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 36*n**2 - 18*n + 8. Let f(v) = 107*v**2 - 51*v + 23. Give 17*c(z) - 6*f(z).\nAnswer: -30*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88529.\nAnswer: 7, 12647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*r + 116*r - 528*r - 217*r - 541*r.\nAnswer: -1074*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.75? (a) 5 (b) 3 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -7.7. Let n(h) = h - 5. Let w be n(4). Which is the closest to w? (a) -1\/4 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -4)*(-10 - -3). Suppose 0 = -2*o + 5*o - 6. Suppose u = 3*v - o*v. Calculate the highest common divisor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -458 + 454. Let j = -8629\/9 - -959. Let f = 7 - 4. What is the closest to j in 2, w, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 1)\/(37\/185). Suppose 0 = 5*o - 4*w - k, -55 = -5*o - w - 2*w. Suppose 0 = -3*i + 5 + 55. Calculate the least common multiple of o and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51183928 + -12\nAnswer: -51183940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8.9*5\nAnswer: -44.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/2 + 1)\/((-1)\/(-31)). What is the highest common factor of 713 and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*s**3*w**3 - 5*s**2*w**3 - 2*s*w**3 wrt s?\nAnswer: -330*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 121*c**3\/3 - 451*c**2 + 840*c - 432 = 0.\nAnswer: 12\/11, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1293*a - 1292*a = -5*w + 2065, -25 = 5*w. Calculate the greatest common factor of a and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5*s = -51, 0 = -22440*n + 22439*n + 5*s - 42 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.71 + -1.51. Let o = 0.4 - 0.5. Sort w, 5, o in descending order.\nAnswer: 5, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 10*m**2 - 6*m + 7. Suppose 2*h = -22 + 2. Let f be v(h). Suppose k = f - 13. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185668012559+-1\nAnswer: 185668012558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-3 - -1) - -3. Suppose d + q = 16. Calculate the remainder when d is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcim when four letters picked without replacement from nhhcicmcnrii?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2470410 * -0.5\nAnswer: 1235205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 - 22282*s - 2129854. What is q(-94)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 2*p - 1. Let a(m) = -136*m**2 + 44*m + 17. Let l(i) = 14*i**2 - 5*i - 2. Let t(j) = 2*a(j) + 19*l(j). What is -7*o(q) + 2*t(q)?\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/6*16\/(-6). Let g = 67 + r. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 4\/1069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 17*v**2 + 217*v + 586. Determine f(-8).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - 2*y**3 + 0*y**3 + (5*y**2 + y**2 - 4*y**2)*(4*y + y - 4*y) + (3*y - 3*y - 4*y**3)*(2 + 1 - 4) + (-2*y + 0 + 0)*(-y**2 - 2*y**2 + y**2).\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038289607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 201 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18532, 37091, 55646, 74197, 92744, 111287, 129826?\n\"Answer: -2*t**2 + 18565*t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -200*u - 1137420 + 5877620. Calculate the highest common factor of 137 and u.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j, -n - 4*n + 480 = -5*j. Suppose 3*r - 9 = w, 6*w - 19 = w - r. Suppose b + w*b = n. 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 h(j) = -j**3 + 6*j**2 + 28*j + 10. Let r be h(9). What is the third derivative of -2*q**2 + 12 + 2*q**3 - r - 124*q**4 + 30 wrt q?\nAnswer: -2976*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiiaauiiihiihgihi. Give prob of picking 1 g and 1 a.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*h + 20, -14 = -2*h + 3*f - 6. Let p(j) = 241*j - 2. Let z be p(h). What are the prime factors of 2\/(-15) + z\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 - 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1.2555053.\nAnswer: -0.25110106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 689, -356 in descending order.\nAnswer: 689, -3, -5, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -26. What is the third derivative of q*d**3 - 5*d**3 - 10*d**2 + 2*d**6 wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-8)\/8)\/(3\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2306*-633509.\nAnswer: 1460871754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iisissoeoseyssssiie. What is prob of picking 2 o and 1 y?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from mmmpmppmmmpmmmmppm?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/8 + (-325)\/(-90). Let u = w - 25\/9. Let n = 0.51 - 0.11. What is the closest to u in -13\/4, n, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140316136 (base 7) to base 4.\nAnswer: 202301011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + 35*b**2 - 76*b + 18. Let o be x(15). What is the highest common divisor of 1437 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/6*((-22)\/(-55) + (-502)\/(-20)). Solve -67 = 11*d - y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2967.71l in millilitres?\nAnswer: 2967710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4130389 or -4130390?\nAnswer: -4130389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 - 17*i**2 + 9*i - 13. Let l be g(-9). What is the tens digit of (110\/(-7))\/(l\/273)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18631, 74432, 167453, 297712, 465227, 670016, 912097?\nAnswer: 1191488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 339*s**2 - 339*s**2 - 96*s**5 + (2*s**5 - 2*s + 2*s)*(0 - 2 + 0).\nAnswer: -100*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 2584820*c + 835161804050.\nAnswer: 2*(c + 646205)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3254\/79 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1012 and 14.\nAnswer: 7084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216089 and 2974947?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, r: 4, q: 8, c: 2}. What is prob of sequence rr?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*t, 2*g - 1585*t + 1584*t - 35 = 0 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 2. Suppose a*l - l - 5*h = -15, -2*h = -5*l. Let k be (l\/5)\/(5\/100). Solve -3 + k = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 5 (b) -54\/101 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12468 or 12467?\nAnswer: 12467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 29886244552?\nAnswer: -29886244551.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-1 - -17 - 2). Suppose 0 = 2*f + 3 - d. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 2*j - 8. Let o(d) = 8 - 62*d + 59*d + 3*d**2 - 13*d**2 + 11*d**2. Give 4*f(m) + 3*o(m).\nAnswer: -m**2 - m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1091428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 178 and 54646?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -548\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, j: 4}. Give prob of picking 1 w and 3 j.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26348 is divided by 8758.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15199530*l**3 - 2301797*l**2 - 7*l.\nAnswer: -91197180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 604.5107851 from -4.8.\nAnswer: -609.3107851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -21 - (-109 + 76)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-96)\/(-12))*(-5)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4619 and -54.02?\nAnswer: 53.5581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12102.83 micrometers to centimeters.\nAnswer: 1.210283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/44116 and -85\/164?\nAnswer: 44116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 27. Let w(u) = -11*u**2 - 21*u + 3. Let a(c) = 175*c**2 + 343*c - 49. Let s(o) = -3*a(o) - 49*w(o). Determine s(n(g)).\nAnswer: 14*g**2 + 756*g + 10206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 84\/(2*(-2)\/18). What is the units digit of ((-1)\/2)\/((-3393)\/f + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*d - 347*d + 2980*d.\nAnswer: 2263*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.86 - 35.66. Let n = 284 - 153. What is the third smallest value in i, -3\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(117)\/(-2*sqrt(441)).\nAnswer: 3*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1251857449?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -5*i**7\/21 + 11*i**3\/6 + 2*i. Find the second derivative of y(n) wrt n.\nAnswer: -200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9637? (a) 0 (b) 4 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -19. Suppose 2*p - 1611 - 141 = y. List the prime factors of p.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56.00777 * -0.41.\nAnswer: 22.9631857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 6:59 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490)\/(sqrt(10)*2))\/(1*-3*sqrt(7)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118\/10 + 63\/315?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.341129 to 2 decimal places.\nAnswer: 15.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bttt when four letters picked without replacement from bbbttbt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -26*u + 1243. Let g be q(48). Suppose -48 + 3 = 5*a. Let o be (a\/6 + 1)*-4. Sort g, 3, o in descending order.\nAnswer: 3, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.2 (b) -2\/9 (c) -1\/2 (d) -5 (e) 14\/11729\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, -89, -304, -589, -968, -1465, -2104, -2909?\nAnswer: -3904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 409*c**5\/20 + 2815*c**4\/12 - 1936*c. Find the third derivative of i(s) wrt s.\nAnswer: 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + sqrt(52) + sqrt(416)\/sqrt(512) - -4*sqrt(2548))\/(-2*sqrt(36)\/sqrt(9) + sqrt(256)*2).\nAnswer: 241*sqrt(13)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2132829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11925 and 450.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j - 39 = -29*j. Solve 7 + j = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 - 2.2. Let v = 15 + -12.4. Let w = v - t. Which is smaller: 0.2 or w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -230, -0.03, 1\/2, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -0.4 (b) -27 (c) 0.3 (d) -3\/2 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(4 - (5 - 0)). Suppose 4*i - 25 - 7 = h. What is the remainder when 31 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13244 (base 7) to base 10.\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 10. Solve -s*g + g = 2*n + 2, 0 = 5*g - 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 * -1351.8\nAnswer: -3785.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from jqjjojfjfjffj.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/11))**(-4\/19)\/((((x*x**9)\/x)\/x)\/x**(-2\/23)))**(-42) assuming x is positive.\nAnswer: x**(1624980\/4807)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 44 = 2*j + 2*j, -4*j + 2*r = -14. Let t = 10 - j. Suppose t*v = 3*v + 13. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166245 = 718*n + 3182*n - 141855 for n.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 19 = -6*x + 11*x, 2*x + 3 = 3*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -35*(-11)\/(33\/12). Let u = -135 + o. Solve -u*r = 14 - 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -53*b + 0 + 57*b + 5 - 3 + 5. Let v(n) = -2*n - 3. Determine -4*o(s) - 10*v(s).\nAnswer: 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/3 - 1940*n + 481184\/3.\nAnswer: 4*(n - 1367)*(n - 88)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 3*w - 10, 27 = -5*w - 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (6 - 8) + 1 + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*o = -114 - 54. Find the common denominator of 7\/54 and o\/(-30)*(-3 + 1415\/105).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1171\/5 - 234. Let s = -943 + 947. Which is the closest to 0? (a) f (b) s (c) 0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 15*c**2 - 18*c - 20. Let k be d(12). Let a = -195 + k. Solve -s - 2 + a = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -4, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 17*x**2 + 61*x + 63. Give o(-10).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 71*b**4 - b**3 - 8*b**2 + 4*b - 3651. Let n(f) = 2*f**2 - f - 2. Let t(y) = 4*n(y) + w(y). What is the derivative of t(a) wrt a?\nAnswer: 284*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 + 25*w + 72. Determine z(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 4. Let r(d) = 14. Let g(u) be the first derivative of 6*u - 33. Let j(q) = 5*g(q) - 2*r(q). Give 2*c(s) + 3*j(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -10 + 6. Suppose 2*s - o = -0. Calculate the remainder when ((-406)\/21)\/(s\/(-3)) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 658572 and 878096.\nAnswer: 2634288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 64*-2\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 5*s + 3*s)*(11*s + s + s + (3 + 2 - 4)*(-s + 4*s - 2*s)).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2841913, -11367670, -25577265, -45470698, -71047969, -102309078?\n\"Answer: -2841919*i**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in months?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/229 and -31\/209993?\nAnswer: 209993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 - d3?\nAnswer: -bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + z)*(-4*z + z + z) + 2*z**2 + 0*z + 0*z + 2 - 2 + z**2 + (3 - z**2 - 3)*(3 + 0 - 5).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2. Let j(d) = -7*d**3 + 5*d + 1. Let b(y) = -5*i(y) - j(y). Let c(n) = 1 + 0 + 2*n - 4*n**2 - 6*n**3 + 2*n. Determine 4*b(a) + 5*c(a).\nAnswer: -2*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7563 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: Solve -3*m - 3*t + 4*t = -2, -8*t = 19*m - 18*m - 34 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(1*sqrt(135) + sqrt(135)) + sqrt(135)*2*-6 + sqrt(135))\/(sqrt(35)\/(sqrt(7) - sqrt(126)\/sqrt(2))*-4))**2.\nAnswer: 6075\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47349980851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + (31 - (-12 - -53)) + (24 - 2).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 181972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + s**3 + 3*s - 262*s**2 + 2 - 2 - 358*s**2 as n*s**3 + z + w*s**2 + k*s and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*p**2 + 2132063603 - 2*p - 2132063603.\nAnswer: -43*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-33))**(-9\/10)\/((u*u\/(((u*u\/(u*u**(-24))*u)\/u)\/u))\/u)**(-2\/17) assuming u is positive.\nAnswer: u**(4589\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - 48. Let y = j - 11. Solve -5*a + 11 = -k, -2*k + 4*k = -3*a + y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 3*r + r)*(-28 - 2*r**4 + 28).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60209, 58952, 57687, 56414, 55133, 53844?\n\"Answer: -4*j**2 - 1245*j + 61458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14351 - 14350. What is the closest to z in 3, 462\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 130 = 1274*y - 1273*y, 5*u + 4*y = -0*u - 168 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1\/12, -3\/5, -22, 1, 1\/2 in descending order.\nAnswer: 1, 1\/2, -1\/12, -3\/5, -16, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9258930.3 rounded to the nearest ten thousand?\nAnswer: -9260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -6. Sort 0, g, 1.\nAnswer: g, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16753141\/10 + -1680792. Let o = 5468 + a. Find the common denominator of o and (1\/((-2)\/(-74)))\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 150, 4, 48, 5, 1, -5 in ascending order.\nAnswer: -5, 1, 4, 5, 48, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -39. What is the highest common factor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - (2 - 60 - -34)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3 + 84880*w**2 + 17147814*w - 17232696 = 0 for w.\nAnswer: -42237, -204, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.2 (b) -4\/5391 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-9)*9\/6. Let g(c) = 34*c - 50. Let k(i) = -8*i + 13. Let a(d) = 2*g(d) + 9*k(d). Let f be a(v). Are -8\/7 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/9)\/(2\/(-15)). Suppose 0 = -4*w - h + 13, w = f*h + 5 - 28. Let i be 2*(w\/(-4))\/1. Which is the biggest value? (a) -4 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c - 45. Let w(q) = 4*q + 24. Calculate the remainder when c is divided by w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 - 7*y**2 + 4 + 2.\nAnswer: -2*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 9*h**7\/7 + 4*h**3\/3 - 1. What is the third derivative of o(k) wrt k?\nAnswer: 1080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -217 + 70 + 70 + 78 - 214*g to the form q + h*g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88068 and 461820.\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 5, 2, -15, -52, -115, -210?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 - 52*n + 28*n - 1 + 23*n + 17*n**2 to b + i*n**2 + o*n**3 + v*n and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (70\/(-21))\/(-5)*473250. Round k to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42143184 and 720.\nAnswer: 210715920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 greater than 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 772?\nAnswer: 1\/772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 + 221 + 2191 = 68*j + 20*j for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54*h - 6*h**3 - 54*h + (-79 + 57 - 82)*(-7*h**3 + h**3 + 3*h**3).\nAnswer: 306*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 449423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 8. Is (-129)\/(-1) + (x - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + 9. What is the remainder when p is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -10 - 120 - (-4 - -15 - 19).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 2826879*w + 59363136.\nAnswer: 3*(w + 21)*(w + 942272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*w - 12. Let u(i) = i**3 + 3*i**2 - 6*i - 1. What are the prime factors of u(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m = 6. Suppose -4*d + v = -v + 8, -2*v = 0. Let g be (0 + (-5)\/d)*2. Put g, 1, m in decreasing order.\nAnswer: g, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.3, -4\/3, -18\/19, 16, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39075 is divided by 3550.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6563.57 * -3.\nAnswer: 19690.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-three fifths of a meter?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 12*s + 14. Let y be v(-11). Let b(o) = -9 + 7*o**3 - 2*o + o - 11*o**2 - 8*o**y. Let z be b(-11). Solve -3*k = z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.2108, -1 in descending order.\nAnswer: 0.2108, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237097 is divided by 102.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581*x**3 - 6 + 1 + 3 - 586*x**3.\nAnswer: -5*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 578 - 168. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.893 - -0.793. Sort 76, m, 3\/7, 0.4 in decreasing order.\nAnswer: 76, 3\/7, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.499948 minus 26?\nAnswer: -24.500052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -129909940 rounded to the nearest one million?\nAnswer: -130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 + -63.715. Let w = v + 0.015. Round w to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53367184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 779*h**2 - 1124*h + 268326. Calculate p(780).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 + 66. Let k be s\/(-24)*(-4)\/6. What is the units digit of k\/(-2) + (-20)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/4, -1\/8778, -5, -28, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffk when three letters picked without replacement from {u: 3, q: 3, s: 1, k: 1, f: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10306 and 14.\nAnswer: 72142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28681\/7 or 4096?\nAnswer: 4096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(125\/10))\/((-1)\/5). Suppose 0 = -c*w - t + 529, 0*w - t = -w + 266. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 5. Let h = 40 - 34. Determine p(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/340 (b) -3 (c) -13 (d) 0.5 (e) 3\/2 (f) 0.105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = 4*q - 73. Let v be q\/(-9) + 4\/(-18). Solve -3*h + v = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 4 - (-3 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12815 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 227259 and 23427?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**2 + 2*q**2 + 0*q**2 + (0*q + 0*q + 2*q**2)*(4 + 2 - 4) + 8 - 8 + q**2 to l + a*q + k*q**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 5*q - 5. Let f be g(-6). Let h(j) = j**3 - 18*j**3 - f + j**2 - 8*j**2 - 6. Let m(p) = -8*p**3 - 3*p**2 - 3. What is 3*h(i) - 7*m(i)?\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 6, t: 9, c: 2, f: 1}. Give prob of sequence cqq.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j. Let r be n(-4). Suppose 27 = x + r. What is the remainder when 44 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76253, -76265, -76283, -76307?\nAnswer: -76337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5337981.694 and -100?\nAnswer: 5338081.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16873 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 23 = -2*h, 0 = 4*h + 5*v + 49 - 183 + 165 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7918, 0.2, -0.2, 0.1, -2\/7 in decreasing order.\nAnswer: 7918, 0.2, 0.1, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 + 3 - (-79 - -75)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/95 and 85\/38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkvkknknkk. Give prob of picking 2 n.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24608 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 70409.05nm?\nAnswer: 0.00007040905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 19*d**2 + 1. Let o be q(-1). Let u be (-3)\/(-2)*o\/15. What is the derivative of 2 + 4*c - 6*c + 2*c + 3*c**u wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*q + 1865 = -1201, 0 = -2*b - 2*q + 6126. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 7) to base 14\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + d - 2)*(4 - 4 - 3*d)*(0*d - 14*d - d)*(51 - 8*d - 22 - 27) in the form y*d + u*d**3 + r + b*d**2 + m*d**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/1*(-2)\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.7 - -120.3. Let v = x + -142.2. Which is the third smallest value? (a) -3\/4 (b) -2\/33 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 746 divided by -22.\nAnswer: -373\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) 0.3 (b) 4 (c) 19 (d) 0.046\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**7\/210 - q**5\/15 - 2*q**2 - 2*q. Let m(b) be the first derivative of g(b). Find the third derivative of m(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -174, -168, -152, -120, -66, 16, 132?\n\"Answer: y**3 - y**2 + 2*y - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6*1*-4. Let w(c) = c + a - c + c. Let u be w(4). What is the greatest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - 63. Let r = -0.2 + -1.8. Which is the closest to -1\/2? (a) r (b) -0.02 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o - 291 = -2343. Suppose -54*w = -o*w + 39. Let p = -128 - -219. Calculate the highest common divisor of w and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000044658 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 5) to base 15\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooeeeo. Give prob of picking 3 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/13840 and 89\/28?\nAnswer: 96880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*i = -24, -w - w = 5*i - 26. Suppose 0*v - 7 = 3*v + 5*f, -2*v + 2*f + 6 = 0. Let z(o) = 4*o - v - o**3 - 2 + o**2 - 5*o + 5*o. Calculate z(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3117 + -2541. Does 24 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*4.195.\nAnswer: -0.37755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26806760 + -5?\nAnswer: 26806758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (296\/32)\/((-2)\/(-8)). Suppose -3 - f = -8*h. What is the tens digit of h*5\/(-10)*-20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a - 1. Let i = -1 - -1. Suppose 0 = -5*w - i*w + 30. Is u(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20331639 and 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.78 (b) 1246 (c) 2\/23 (d) 16\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 194135\/582 - 19\/291. Let u = -335 + q. Which is the closest to 15? (a) 0.4 (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -413 + 413. Suppose -17 = -5*f + 4*j - 5, g = -j + 2. Solve 4*s + 5 = -7, 12 = -5*w - f*s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 3*j + 0*j)*(-j**3 + 3*j**3 + 0*j**3) - 3*j**4 + 19*j**4 - 8*j**4 + j**4 + 4*j**4 - 6*j**4 + 8*j**4 + 6*j**4 - 4*j**4.\nAnswer: 19*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 226 divided by -2\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -12. Let q = j + -3. Let s = -0.06 - 2.94. What is the smallest value in q, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378069 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + (0 - -2) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 2*y**2 + 3*y - 3. Let o be t(2). Let z(g) = 5*g**2 + 0*g**2 - o*g**2. Let q(a) = -3*a. What is q(z(f))?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22 + (-15 - (-2246780)\/60680) and -18\/451.\nAnswer: 33374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1, -1\/2, -41, 3, -1489?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, d: 2}. What is prob of picking 1 d and 3 u?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s = -877 + 643. Solve 5*v = 2*t - 15, 7*t = s*t + 4*v - 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -33113301?\nAnswer: 33113232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/98777 or 0?\nAnswer: -2\/98777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5)\/(-3)*234\/40 and -21\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 + 2*z. Let p(n) = -n**3 + 5*n**2 - 5*n - 1. Give -2*p(m) - 5*v(m).\nAnswer: 2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 786\/95 not equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/5 - 14922*q\/5 - 2985.\nAnswer: 3*(q - 4975)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -65*n**2 + 380110*n + 58480 = 0.\nAnswer: -2\/13, 5848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4*p + 0 - 15*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8152 - 22227 - 36347 = -2022*k for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22503, 45008, 67513, 90018, 112523?\nAnswer: 135028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -55b162 (base 12) to base 14\nAnswer: -2782b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 339953 and 0.9.\nAnswer: 305957.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 10:41 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 3:53 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25063, -25056, -25045, -25030, -25011?\nAnswer: -24988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13158 by 6.\nAnswer: 2193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/75)\/((-1)\/((-1)\/2*(-5)\/(-37)))\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + -1. Let y = -19 - -18.7. Which is the nearest to 1? (a) u (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*n**2 - 1 - 11471*n + 5738*n + 5742*n + (-2*n**2 + 0 + 0)*(1 - 3 + 4) + 6*n**2 + 0*n**2 - 4*n**2 - 3*n**2 - 2*n**2 + 4*n**2.\nAnswer: -30*n**2 + 9*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 + 28 - 64)*(1 - 4 - 6)*(-4*s - s + s)*(-s**3 + 6*s**3 - 3*s**3) to m*s**4 + o*s**2 + q*s + a + k*s**3 and give m.\nAnswer: -1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 100392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -13.3. Which is the third biggest value? (a) -0.2 (b) i (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 313*b - 13. Let p be v(1). Factor -135*j - 133*j + 80 - 4*j**2 + p*j.\nAnswer: -4*(j - 10)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*t**2 - 500*t - 33567682 + 33567682 to the form v*t + o*t**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65794287 by 65794287.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6200\/3720*(-60)\/18*108\/(-50)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 - 1399*h + 100974. Give a(248).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Suppose -5*a + 46 = 7*j, -j + 3*a - 23 = -11. Solve i = 2*g - 5*p + 35, -j*g + 0*g + p = 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.8793 and 0.5.\nAnswer: 5.3793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*p**3 - 8118*p**2 + 16239*p**2 + p + 6 - 8121*p**2 to s*p**2 + w*p**3 + b + m*p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 9:25 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 4)*(-5 + 54 + 18)*(w**4 - 20*w**2 + 20*w**2).\nAnswer: 201*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 801747851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 18 = -0. Solve -3*r = 5*c - 15, 3*c = b*c + r - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*(-34)\/51.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 346 - 345. Calculate the greatest common divisor of m and 56.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*g**2 + 254 - 27*g**2 + 289 + 257 - 800.\nAnswer: 174*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 3 + 3)*(a - 5*a + 0*a)*(a - a + a**2).\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1008 > -1091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2448.71 - -2446.71. Let g = 1.9 - 3.2. Let d = -0.3 - g. What is the second biggest value in 0.06, d, 3, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3074*r**2 + 6159*r**2 - 3084*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - f**2 + 1. Let h be j(1). Let l be h + -26*2\/(-4). Let g be 2\/(-13) - (-7448)\/247. Calculate the highest common factor of l and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s**4 - 5*s**2 + 5*s**2)*(3 - 2 + 0) to x*s**2 + c*s**4 + p*s + j + m*s**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + -11 + 0 - (-499 - -506)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**2 + 3*u - 2*u - 7*u - 4*u**2 + 4. Let k be o(4). Let b(d) = -d - 9. Calculate b(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**3 + 5*g**2 + 8*g - 4. Let l(n) = -5*n**3 + 4*n**2 + 8*n - 4. Let y(j) = -2*l(j) + 3*z(j). Factor y(x).\nAnswer: -(x - 2)*(x + 1)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*w - 7*w + 15*w - 50*w to the form y + f*w and give f.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (48\/8)\/((-3)\/(-2)). Suppose -5*l = f*o - 15 - 12, -o - 3 = -2*l. Let x(q) = q - 2. Let r be x(4). Calculate the highest common divisor of r and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -2.3. Let j = 2.1805 + r. Round j to three dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 20. Let b be c(-12). Suppose x = b*x - 159. List the prime factors of x.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.2 (c) 7\/43 (d) -2.4 (e) -2\/7 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 4 - 4 + 1 - 1 - q + (-3*q + 2*q + 2*q)*(3 - 2 - 3) + 24 - 9*q - 24)*(-2*q - 2*q + 3*q + 2*q - q + q + (q + 2 - 2)*(3 - 1 + 0) - 3*q - q + 6*q).\nAnswer: -70*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m + 50. Let h be f(-11). Is -1*h*(2 + 153064\/(-48)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447143.\nAnswer: 23, 19441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*u**4 + 40*u**3 + 388*u?\nAnswer: -324*u**2 + 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3651.367663 rounded to the nearest 10?\nAnswer: -3650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/6)\/(16\/72). Suppose b*s = 5*s + 360. Suppose -6 = 3*d, -3*d = 2*q - 4*q + s. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 + -46. Suppose -x + l = f, -2*f = -5*x + 6 + 8. What is the units digit of (3 + 9\/6)*x\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, l: 4, x: 2}. What is prob of picking 1 x and 3 l?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1285, 5109, 11475, 20383, 31833?\nAnswer: 45825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffoffffo. What is prob of picking 2 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 8. Let x(y) = y + 342. Let p be x(0). Let k be -6*3\/p*-2. Which is the smallest value? (a) -1 (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(65)\/sqrt(5)*1)**2 - (3 + sqrt(78)\/((sqrt(96)*-2 - sqrt(96) - sqrt(96) - sqrt(96)) + sqrt(96)))**2.\nAnswer: 1267\/256 + 19*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l = -3. Is (l - 0)\/((-1)\/10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/11 + 75\/11 + -2. Suppose -3*d - 2*u + 660 = 0, 3*d - w*d - 2*u = -440. List the prime factors of d.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 3*h**2\/2 - 2*h - 1. Let x(r) = 14*r - 11. Determine -11*m(d) + 2*x(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1855*z + 3*u + 25178018 = -1857*z, 4*z + 50355964 = 6*u. What is z rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 16. Suppose j = 2*p - 13, j - s*j + 70 = 5*p. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2262178?\nAnswer: 2, 19, 59, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74018 is divided by 40.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**2\/5 - 2670900*k - 454059936\/5.\nAnswer: 6*(k - 2225784)*(k + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -440709 or -440708?\nAnswer: -440709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -0.3, 38 in descending order.\nAnswer: 38, -0.3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -534\/17 at most as big as -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*b - 999, f + 3*f = -b + 1332. Suppose -3*z + 3*c - f = -8*z, 61 = z + 2*c. Does 23 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -0.021550838.\nAnswer: -0.00021550838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262744 - 16561 = -2*x + o, 4*x = -3*o + 558595. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v**2 + 6*v**2 - 2*v**2 - 6*v**2. Let l(f) = -6*f**2. Calculate x(l(c)).\nAnswer: -324*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 126, 249, 372, 495, 618?\n\"Answer: 123*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46534 - 46529. Let t = 5 - -1. Let g(j) = -2*j + 8. Let o(i) = i - 7. Give c*g(k) + t*o(k).\nAnswer: -4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 1\/(3\/(-6)). Suppose -4 = -2*g, 5*w - 7*g + u*g = 7. What is the biggest value in -3\/7, w, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2227?\nAnswer: 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/9)\/((-15222)\/136998).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.71 - 0.732. Which is bigger: d or -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 4*u**2 - 2*u + 12. Let l be y(4). Solve 5*h + 3*i - 18 = -14, 0 = h + l*i - 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389578*g + 389578*g + 5953*g**2.\nAnswer: 5953*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -684, -2460, -6220, -12612, -22284, -35884, -54060, -77460?\nAnswer: -106732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -134 - 4*t**3 + 134 - t. Let l be a(-1). What is the nearest to -17 in -0.3, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 985 and 10305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 66 = 19*x. Suppose 47 = x*k + 7. Solve -k = v + v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from kdpdxxkxkppmwmx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 101911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -455, -1, 37, 1, 21, 2 in decreasing order.\nAnswer: 37, 21, 18, 2, 1, -1, -455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.1057, -1\/9, 0.2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305272 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9734868 and 12688.\nAnswer: 3172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.23*108\nAnswer: 24.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/36 + (-9)\/12)\/((-80)\/(-20))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 62*m - 12. Is 29 a factor of h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13584801 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: Simplify (6*(sqrt(126)\/(sqrt(24)\/sqrt(8)))\/sqrt(7))\/(5*-3*(sqrt(363)*-2 + sqrt(363))).\nAnswer: 2*sqrt(2)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oozzojjjzjjjoz. What is prob of sequence zzzo?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*sqrt(242)*-4*2 - (-5*(-5*sqrt(242) - sqrt(242)) - -1*sqrt(242)*-4))**2.\nAnswer: -176*sqrt(2) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 298, 596, 894?\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 7*m**2 - 17*m + 45. Give u(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44075 plus 349153353?\nAnswer: 349109278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8976314*r + 4665878 wrt r?\nAnswer: -8976314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24723 and 9045.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 4*k + 40, 4*k + 28 = -228*b + 227*b for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (9 - 7) - 2\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 919 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.64 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -3, 2\/3, 2\/15, -264?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3 - 1. Suppose k - 3*c - 4 - 8 = 0, 4*c = -x*k + 34. Let l = 23 - k. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27828387 + -2649.\nAnswer: -27831036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**16*l**(-6) assuming l is positive.\nAnswer: l**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11535 and 121673487?\nAnswer: 2307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 800 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -500909, -1001854, -1502801, -2003750?\nAnswer: -2504701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 2828195065472.\nAnswer: -2828195065472.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d = 8, -5*y + 5*d + 15 = 0. Let k = 4 - y. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4474 = 408*n + 1139 - 337 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 55\/94 (b) 0.4 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d**2 - 10*d**2 - 5*d**2 + 26*d**2. Let t(v) = 16*v. Give q(t(r)).\nAnswer: 1280*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**5 - 129*r**4 + 129*r**4)*(4 - 3 + 0) + 8 - 5*r**5 - 8.\nAnswer: -7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 c when four letters picked without replacement from vccycvccyycy.\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 4*t - 1. Let x be g(4). Let w be -1*(x + 2 + -3). Suppose -w*v - 3*v + 74 = 2*n, -v + 4 = 4*n. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -3, 2, 22 in increasing order.\nAnswer: -3, -2, 2, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21222110100101 (base 3) to base 2\nAnswer: 10000001011010111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698 = v + 3*f + 685, 4*f + 27 = 5*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1163 - -215. Let z = r - 454. Let x be 4\/26 - z\/(-78). What is the highest common factor of 132 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1586*u - 533*u + 36 - 525*u - 530*u. Let x(k) = -8*k + 144. Calculate -9*r(l) + 2*x(l).\nAnswer: 2*l - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13675 - -4?\nAnswer: 13701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1119 - 1327.8. What is l rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**5\/20 - f**4\/2 - 2*f**3\/3 - 6*f**2 + 4*f + 1. Calculate a(6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**7\/2940 + 4*a**6\/315 + a**3\/3 + 6*a**2 - 94*a. Let q(h) be the second derivative of k(h). Factor q(n).\nAnswer: 2*n**2*(n + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) -2\/35 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.4, -121, -1\/13, -16, 2 in increasing order.\nAnswer: -121, -16, -1\/13, 0.2, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/49)\/(-4))\/(22*(-6)\/(-231))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161.4 - 149. Let q = 12.3999948 - h. Round q to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15313.97 - 15314. Which is the closest to 0.01? (a) q (b) 0.4 (c) -2\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1718721*b**3\/7 - 67870470*b**2 + 32672690688*b\/7 + 21993455616\/7 = 0. What is b?\nAnswer: -2\/3, 60544\/437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 6:25 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -0.8. Let h = -0.33 - s. Let a = -0.03 - h. What is the third smallest value in a, -1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/27*-6)\/((-10)\/45)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-3)*(11 - (-49)\/(-5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/7 - 47*b**3\/7 - 4106*b**2\/7 + 21432*b\/7 - 17280\/7 = 0.\nAnswer: -48, 1, 4, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 6:14 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*d + 60, h + 2*h = 4*d - 39. Let l be (2\/(-3))\/(d\/(-90)). Suppose l*s = 3*s + 10. Solve -2*w - 3*w = s*v - 15, -2*v = -2*w + 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 12, 60 = 2*g - 4*p - 6. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22.3 and -15.\nAnswer: 334.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence danl when four letters picked without replacement from mlmaandlmlmalmllma.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.999 and -1608360760.\nAnswer: -1608360760.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f + 4*f - 110460 + 110431. Determine m(20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -33*y**5 + 5*y**4 + y**2 - 47*y - 10. Let s(m) = -17*m**5 + 2*m**4 - 23*m - 4. Let k(z) = -2*j(z) + 5*s(z). Find the third derivative of k(v) wrt v.\nAnswer: -1140*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*m + p, 3*p + 0 + 1 = 4*m. Suppose 4*b - 2*b - 2*d + 64 = 0, -b = m*d + 12. Let w = b - -40. What is the greatest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2 - 603. Let o(u) = -8*u**2 + 1206. Calculate 5*n(i) + 3*o(i).\nAnswer: -4*i**2 + 603","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 2*j + 365. Let w = 116 + -116. What is the tens digit of g(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*f*k - 197*c*f + 6*c*k**2 - 120*f*k + 25*k**2 wrt c.\nAnswer: -4*c*f*k - 197*f + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7662344 and 3020?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.6523, 0.4?\nAnswer: 0.6523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, l: 2, s: 2, x: 1, a: 1, r: 1}. What is prob of picking 1 a, 1 x, 1 j, and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 20*w**2 + 9*w + 45. Is l(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/3)\/((-10)\/(-6)). Let a = -1.5 + 1.4. What is the closest to w in a, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1709 - 181 = 0. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -4*a + 4*d, -a - 4*a - 4*d + 163 = 0. Let q = -33 + a. Find the third derivative of -12*o**6 + 11 + 15 - 26 - 15*o**q wrt o.\nAnswer: -1440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1068 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 579*k - 75800.\nAnswer: -(k - 379)*(k - 200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212290 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127872, -255741, -383610, -511479?\nAnswer: -639348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.85 + -12.85. Let n = -0.9 - 0.1. Which is the third smallest value? (a) 1\/2 (b) j (c) -2\/7 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111000101100111 (base 2) in base 14?\nAnswer: -424bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-8)*(16 + -8). Find the first derivative of -1 + k**3 + y + 1 wrt k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 7:20 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - t + 4*t + (-5*t + 3*t + 4*t)*(356 + 21 - 138) + 3 - 3 - 15*t + 2*t - 3*t + 0*t + (1 - 2 - 1)*(-4 - 2*t + 4) as c + r*t and give r.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - s + 3761, 5*j - 2*s - 5754 - 518 = 0. Does 66 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16039 and 63253.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 100 = 4*d, -2*t - 2*d + 25 + 39 = 0. Let l = 2 + t. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -3, -0.5, -2, -4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2714 + 2714. Solve -29*p + 35*p + 24 = a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*n - p + 4*p, 4*n - 13 = -5*p. Suppose 0 = 3*k - 0*k - 15. Suppose -n - 18 = -k*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 2)*(0*c**2 + 2*c**2 - c**2) + 3*c**2 - 3*c**2 + c**2 + 2*c**2 + 3 - 3 + 6 - 6 - 12*c**2 in the form y*c**2 + w + v*c and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2 (c) -0.63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*n**4 + 11*n**4 + 3*n + 3*n**4 + 2*n**3 - 7*n as i*n**2 + o*n**4 + h + a*n**3 + z*n and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + -2*sqrt(432) + ((1*sqrt(147))**2 - ((sqrt(3) - sqrt(24)\/(-1*sqrt(8))) + sqrt(3)))*3 + -5.\nAnswer: -33*sqrt(3) + 427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76421?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 26*w - 135 = 0. Let b(f) be the second derivative of 1\/60*f**w - 1\/18*f**3 + 1\/6*f**2 - 4*f + 0 - 1\/36*f**4. Find x, given that b(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddsddddsds. Give prob of sequence ss.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 546 - -1707. Suppose -5*q = 2*x - 1146 - c, 2*q - 2*x - 1354 = 0. Suppose -y = -2*y + q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274257 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92328 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24111 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 28394245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**2 + q**2 - q**2)*(9 + 2*q - 2*q + 4*q) as u + w*q + k*q**2 + t*q**3 and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6573 - 0.\nAnswer: -0.6573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 + 105 = 4*v + 10*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*s**3*v**2 - 2*s**3*v + 10748*s**2*v**2 - 595583192*s**2*v - 3316*v**2 wrt v.\nAnswer: 10*s**3 + 21496*s**2 - 6632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.05 (b) 6.89 (c) 28 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 697427 and 49343?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85*b*u - 2*b*z - 10299*b - 5*u*z wrt u.\nAnswer: 85*b - 5*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 314463591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 equal to 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 2*n**3\/3 - 1. Let h(w) be the third derivative of 1\/24*w**4 + 0 - 4*w**2 + 0*w + 0*w**3. Give f(h(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t**2 + t - 1. Let b be d(1). Suppose -p = -l - 0*p - b, 3*p - 35 = 4*l. Let w be (-2)\/(-3) + 1\/3 - -1. Sort 3, l, w, -2 in decreasing order.\nAnswer: 3, w, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 39*d - 40*d. Suppose m - d = 5. Suppose -3479 = m*h - 9437. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 82630197 from -0.415.\nAnswer: -82630197.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 19*y - 24947 = 0. List the prime factors of y.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:21 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 43*o**3\/2 + 21*o + 1. Let u(r) = r**2. Calculate k(u(t)).\nAnswer: 129*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**2 + i + 4*i - 7*i - 5*i**2 to the form b*i**2 + v + z*i and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 37572*s - 23*s**3 + 45*s**2 - 37569*s + 21*s**3 in the form i*s**2 + j*s + u*s**3 + y and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(6\/25)*h**21 assuming h is positive.\nAnswer: h**(531\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p**3 - 18 + 18 + (1 - 1 + 3*p)*(p**2 + p**2 - p**2) - p**3 - 3*p**3 + 6*p**3 + 2*p**3 - 5*p**2 + 5*p**2 + 0*p**3 + 0*p**3 + p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216674?\nAnswer: 2, 131, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(1\/10*1). Let k(u) = u - 7. Let m be k(2). Let g = m - w. Solve -5*i + 15 = -4*o + g*o, 2*o = -i - 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38306292 < 38306294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 + 0)*(-8*m - m + 2*m) + 3*m - 2*m + 0*m)*(0 + 5 - 1) to the form w + x*m and give x.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381824985 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9 - 2*y - 77*y**2 + 152*y**2 - 76*y**2. Suppose -275 = 18*v - 167. Determine q(v).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -h + 5*o, -2*h + 3*o - 8 = -3. Let m be 4 - 7 - 3\/((-9)\/(-12)). Let f be (-2)\/4*m\/(7\/4). Sort f, h, -2 in increasing order.\nAnswer: -2, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 429?\nAnswer: 17\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -294, -3, -925 in decreasing order.\nAnswer: -3, -294, -925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -1. What is the third derivative of -7*j**4 - 4*j**4 - 3*j**2 - t*j**2 wrt j?\nAnswer: -264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*w + 353, -4*v + 2*w = 183 - 451. Let l be v\/(-7) - (31 + -42). Factor -36\/7*n**2 - l - 4\/7*n**4 + 20\/7*n**3 + 4*n.\nAnswer: -4*(n - 2)*(n - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3170, -3146, -3106, -3050?\nAnswer: -2978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + (sqrt(432) + 4*sqrt(432) - sqrt(432)))*-4 - (-1 + -1*1*sqrt(432) + sqrt(432) + 5))**2.\nAnswer: -3072*sqrt(3) + 110656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -981*g**4\/2 - 262*g**3\/3 - 5021. What is the third derivative of q(i) wrt i?\nAnswer: -11772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13632 and 8.\nAnswer: 13632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 118. Calculate the greatest common divisor of l and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18\/735385 (b) -1\/7 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -745*i + 30325 = -7670 for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1483 - -0.3379. What is q rounded to 2 decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/h**(-9))\/h)\/h**(-2\/53)*(h**(-2))**(8\/7) assuming h is positive.\nAnswer: h**(2876\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)\/((l**(-8)*l)\/l))**(-38) assuming l is positive.\nAnswer: l**(-2052\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (7\/(-28) + (-49707)\/(-1404)).\nAnswer: -54\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 17000 = 4*g. What is g rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 6, -0.19, 2, -2\/9, -14\/9, 64\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + (27 - (33 - -27))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 767762 or 48369040\/63?\nAnswer: 48369040\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 - 156. Let f = -84 - z. What is the biggest value in 2, f, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 4*d + 7. Let i be m(-5). Suppose -10 = 5*o, i*y + 2*o + 2*o = 52. What is the remainder when y is divided by 22\/3 - 16\/(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_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 d(q) = 124*q**3 - 14*q**2 + 27*q - 1. Let n be d(2). Calculate the highest common factor of n and 1075.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (296 - 152 - 3*w - 154)*(2*w**2 + 3*w**2 - 3*w**2).\nAnswer: -6*w**3 - 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**3\/3 - 13*c**2\/2 + 14*c - 231. Factor r(s).\nAnswer: -(s - 1)*(s + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, c: 1, u: 2, y: 3, s: 6}. Give prob of sequence sy.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 6:39 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -255*j**2 + 6630*j + 37. Calculate m(26).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 50*g**2 - 3*g + 18. Is r(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -67.8, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/5, 1\/7, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 - 1)*(0*w + 4*w - 2*w)*(0 + 4 - 2).\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 9 + 3)*(-4 - 1 + 6 - 9*r)*(0*r + 4*r - 6*r).\nAnswer: -126*r**2 + 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2358, 2356, 2354, 2352?\n\"Answer: -2*q + 2360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117982899 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 145*w**2. Let x(s) = -1 + 8 - 2 + 3*s - 5. Calculate m(x(d)).\nAnswer: 1305*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20.339*-0.3\nAnswer: 6.1017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 55\/44*(1 - (-3)\/(-5)). Let z(j) be the second derivative of 1\/2*j**4 + 0 - h*j**2 + 1\/3*j**3 + 2*j. Give z(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*t + 1014*t + 9460 = 371*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**4 - 5*r**4 + 10*r**4 + (-r**3 + 5*r**3 - 2*r**3)*(-14 + 14 - 29*r).\nAnswer: -49*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 465907458 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(910\/(-28)) + (-144)\/(-15)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12329.62 - 0.1\nAnswer: 12329.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - (4 - 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, j: 1}. Give prob of picking 1 j and 2 d.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4310467?\nAnswer: 7, 229, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1 + 17 = 0. Solve -3*m = -w*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 + 4*n + 3. Let q(t) = -t**3 - 46*t**2 - t - 49. Let y be q(-46). Let i be (y\/(-3))\/(-1*(-7)\/(-14)). What is p(i)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d. Suppose 2*q = 21*q + 5*q + 25*q. Let c(k) be the first derivative of q*k - 35 - 5\/2*k**2. What is c(y(m))?\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22324 - 22324.18642. Let k = -0.187 - g. What is k rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061.6 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h + 2. Let n = 87 - 87. Let l = h + n. Is -4 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 638150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156*u - 122*u**2 + 156*u)*(3*u + u - 5*u).\nAnswer: 122*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -826924*a**4 + 1054959*a**2 wrt a.\nAnswer: -19846176*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 30 - 34 + 17 - 7*a**2 + 13*a. Let d(m) = -3*m**2 + 6*m + 6. Determine -13*d(f) + 6*v(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 989271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**5 + 486*m**4 - 6*m**3 - 972*m**2 + 3*m + 486 = 0.\nAnswer: -162, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/240 - 3*d**5\/160 + d**4\/16 - 7*d**3\/6 + 3*d**2. Let q(s) be the first derivative of l(s). Factor q(p).\nAnswer: -3*(p + 2)*(2*p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1bc6 + -1?\nAnswer: 1bc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139334.09 less than -41448?\nAnswer: -1180782.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a gram in milligrams?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 f when four letters picked without replacement from {e: 5, f: 2, z: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 848 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 4*y**2 + 3*y + 1. Let t = -46 + 51. Suppose 0 = t*a, w + 25 = 6*w - a. Give d(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1002*t - 1533. Is i(-6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by 31?\nAnswer: 66\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6952.549mg?\nAnswer: 0.006952549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 26 = 2*s - 14*t, 3*s - 18 = -3*t for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/95 and 29\/691866.\nAnswer: 3459330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -96. Solve 3*q + 12 = 0, w + 3 - f = 5*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 21*x**2 - 47*x + 21. Let m be j(23). Put 27, m, 3 in descending order.\nAnswer: 27, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ac - -3?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r**3 - 4*r**2 + 3*r. Determine s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 205 = 5*g, 3*g + 0*a - 4*a = 123. Let f(k) = -k**3 - 7*k**2 - 5*k - 9. Let i be f(-7). Calculate the remainder when g is divided by 1 + 4\/(8\/i).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.18 - -0.18. Let r = -2397.161 - -2404. Let y = r + d. Round y to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*r + 6, 3*r - 67*q + 3 = -65*q. Solve l - a - 8 = 0, -5*a + 0*a - 32 = -r*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54904, -110065, -165226, -220387, -275548, -330709?\nAnswer: -385870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18588 and 21686?\nAnswer: 130116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**5\/17 + 168*s**4\/17 + 4860*s**3\/17 + 52488*s**2\/17 + 118098*s\/17 = 0.\nAnswer: -27, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 693?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2993*c**2 + 3386*c**2 + 7*c**2)*(3*c + c - 3*c) in the form t + h*c**3 + n*c**2 + m*c and give h.\nAnswer: 6386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31566695 is divided by 14447?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/19, -8, 3\/7, 2\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -628.1246 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -37, 1, -2795?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzclhzzhhnhclzhnlz. What is prob of sequence lnzl?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 5:14 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15815, 63513, 143017, 254333, 397467?\n\"Answer: l**3 + 15897*l**2 - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 - -153. Let r = -0.33 - 0.07. Let s = 2 + -2.2. Which is the nearest to s? (a) h (b) r (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*1*-7 + 1. Suppose -i = -4*j - 68, 0 = j - 2*j - 2*i - 17. Let w = v + j. Which is smaller: -8 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -8*i - 5. Let k(r) = -r. Let f(t) = -k(t) + p(t). Calculate f(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1584) - (-1*sqrt(1584) + 2))*4)**2 - -6*(sqrt(1584) + -3)**2*-6*3.\nAnswer: -70659 + 7200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121 + 342. What is the remainder when x is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**3 + 401*p**2 + 84*p + 774. Calculate z(-80).\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + 2*k**4 - 2*k**4 + (k**2 - k**2 - k**2)*(-3*k**2 - 10*k**2 + 6*k**2).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-58548)\/98)\/((-1)\/14). Let j be (1119\/9)\/(32\/2154). Let s = j - m. Calculate the common denominator of -67\/6 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 0 - 6 + 12*q - 10*q. What is h(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177833770 a multiple of 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15101\/6 + 2498. Let g = -7862577\/2905 + 4326\/415. Let c = g - -2701. Find the common denominator of z and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -469, 560\/3 in descending order.\nAnswer: 560\/3, -0.1, -469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 r when four letters picked without replacement from {a: 3, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4538*y + 1693. Is u(-41) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -21. Let p be -3*y\/18 - 2\/(-2). Solve p = 3*l + 7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017909942 rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than or equal to -494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -4, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 459 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1537 divide 4114549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 5:27 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 17. What is the remainder when 3\/c*(3 + 84) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 13*y + 64 = 0. Let j be (y\/28)\/((-2)\/(-7)). Solve 2*g - 2*t = -16, j*t - 16 = 3*g + t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**3 + 12*s**2 + 8*s - 29. Calculate the least common multiple of 13 and i(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 0. Suppose 0 = -z*o + 9 - 0, 2*o + 4 = -5*p. Is (-227)\/(-2) - p\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 10:42 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22 (b) -0.4 (c) -1 (d) -9 (e) 0.2291\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -1 + 2 - 6*l**2 + 5*l**2. Give n(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -265126 by 1532.\nAnswer: -132563\/766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*q**2 - 439*q + 14 = 0 for q.\nAnswer: -7, 2\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 692*o*v**2 + 36*o - 6*v wrt v?\nAnswer: 1384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 20. Calculate the common denominator of ((-226)\/72)\/(6\/12) and 0 + (-1)\/6*190\/h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -167 and 26681.\nAnswer: 26514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**4\/2 - 2*w**3\/3 - w**2\/2 + 2*w - 40. Calculate n(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*g = 18, 0 = -0*b + b + 3*g + 13. Let p(a) = -a**b + 12*a**3 + 3*a**2 - 6*a**2 - 6 - 3*a**3. Let z(x) = x**3 - x**2 - 1. Determine -p(w) + 6*z(w).\nAnswer: -3*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 6 - (-3 - -3)) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 10*z. Suppose -41 + 17 = -3*x. Let i be t(x). Suppose 0*b + b + 4*p = 21, b - i = -3*p. Do 2\/5 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 6*h + h)*(-37 - 17 + 14) + 0*h - 3*h + 5*h to g + p*h and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 - (32\/4)\/2. Suppose 0 = -3*f + s + 45, 0*f - g*s = f + 1. Suppose -f + 50 = 6*k. What is the remainder when 16 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 721 + 68*y - 721.\nAnswer: 68*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 6, 1\/2, 2 in ascending order.\nAnswer: -4, 0, 1\/2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.1 + 1.9. Let f = q - 14.1. Which is the closest to -2\/11? (a) -2\/3 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/7 - (-10)\/35. Suppose -v*d = 3 - 9. Is d\/(-6) - 54\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4194741.\nAnswer: 3, 1398247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 26.79 (c) -2\/41 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 230*s - 35*s**2 + 258*s + 157*s + 19*s**2 + 19*s**2 to the form m + v*s**2 + z*s and give z.\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 750004 = -3*i - 2*n, 5*n = -4*i - 0*i - 1000010. What is i rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 0.2703?\nAnswer: -4.2703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2 + 2*a + 6. Let j(t) = t**2 - t. Let w(v) = d(v) + 5*j(v). Let i(b) = b**2 - 2*b + 5. What is -6*i(o) + 5*w(o)?\nAnswer: -o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**3\/3 + v**2\/2 - v + 15. Determine y(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34354 + 150?\nAnswer: 34544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(36) + sqrt(4))*-6)**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**3 - 22473*o**2\/2 + 31567542*o - 15780962 = 0.\nAnswer: 1\/2, 5618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -1 - 11 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 19 - 47 = 0. Which is the second smallest value? (a) m (b) 3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 124422024402?\nAnswer: -124422024342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 436 and 22.\nAnswer: 4796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3 - 9, 0 = 3*v - l + 33. Let h = v - -12. Let m = 25 + h. Calculate the highest common factor of 27 and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395518 (base 11) to base 12.\nAnswer: 2600a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, e: 1, q: 2, w: 3, i: 5, f: 1}. Give prob of sequence iifq.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 29*h - 61. Let g be t(25). Suppose g = 6*n - 15. Solve -n = -o - 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2. Let l(z) = 2*z**2. Let o(u) = 4*l(u) + 3*m(u). Let s(y) be the third derivative of 0*y**3 + 14*y**2 + 0*y + 0 + 1\/24*y**4. What is s(o(b))?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 68 = 4*b - 56, -5*b = r - 155. Suppose -4*w + u + 16 = 0, -4*u + b = 3*w - 0*u. Let p = 42 - w. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.13 - -0.43. Let f = i + 1.5. What is the nearest to 0.1 in f, -5, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (12 - 22 - -8)) + -11 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 7 + 19, 0 = -2*d + w - 8. Let l be d + 0 + -2 + -1. Let y(x) = -x**3 - 4*x**2 + 5*x + 4. What is the units digit of y(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176103889 by -13546453.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 9:14 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0024 and 0.1912.\nAnswer: 0.1936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*q = -8*q + 4000. Suppose 0 = -q*z + 91*z - 264. Solve -3*s = 30 - z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -573, -570, -567, -564, -561?\n\"Answer: 3*a - 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 471 + -465 - (-2 + -3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 989.3064kg to nanograms.\nAnswer: 989306400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -3*r**4\/4 - 5*r**3\/3 - 5*r**2\/2 + 2*r - 1. Let q be 4\/14 - 132\/21. Let g be x(q). What is g rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 + 0)\/(8\/(-12) - 0). Let r(x) = 9*x**2 + 27*x - 2. Let o be r(n). Suppose 0*w - 5*s + 645 = 5*w, 4*s + o = 4*w. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -320, 1, -1, -803, -3, 0.4 in decreasing order.\nAnswer: 1, 0.4, -1, -3, -320, -803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73\/415 + 2\/83. Which is the biggest value? (a) j (b) -70 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -212 at least 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11012 - 16258 = -30*l. Suppose -904*w = -l*w + 6440. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + u**2 - u + 3. Let g be j(0). Suppose -10 = 2*v, -4*s - g*v + 17 + 0 = 0. What is the remainder when s is divided by -1 + 0 + 1 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/27 - 48\/63?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f - 1. Let h = 3 - -3. Suppose 0 = -3*t + 4*t - 7. Let v(x) = -2 + 6*x + 2 + 1. What is h*v(w) + t*p(w)?\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137*l*v**2*w**2 - 3*l*v*w**2 - 115*v**2*w**2 + 24*v*w**2 - 4*v*w - w**2 - 5*w wrt v?\nAnswer: 274*l*w**2 - 230*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*m + 39 + 95, -3*x = m - 426. What are the prime factors of x?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = 2*i. Let y be 0\/2*2*1\/i. Solve 3*z = 0, 2 = -n - y*n + z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77297 minus 0.4?\nAnswer: -1.17297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:22 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*q + 1494349*q**2 - 1494348*q**2 - 51*q - 3*q**3 in the form b*q + m*q**3 + f*q**2 + t and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbzbbzbzbzzb. What is prob of sequence zb?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**4 - 2*o**3 + 11*o**2 - 160*o - 29.\nAnswer: -24*o**2 - 12*o + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -26793*w + 26786. Calculate r(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.35 - -0.3527. What is m rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -14*b**2 - 9*b. Let r(z) = 2*z. Give r(n(h)).\nAnswer: -28*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4340 (base 7) in base 11?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 10 = 5*r, -29*b = -27*b. Let y be (35*-4)\/(r - 4). Calculate the greatest common divisor of y and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3391, 40.\nAnswer: -3391, -5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/11)*b**32)\/(b**(-7)*b*b**(-1\/3)\/b) assuming b is positive.\nAnswer: b**(1325\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efifwwfwefufeefue. What is prob of sequence eeuf?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1531 + -5?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 9:26 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9880242961\/1683 - -5870614. Let z = -3\/187 + h. What is the biggest value in 11, z, 3\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 + 3*k**2 - 3*k**2)*(-3*k + 2*k - k) + 2*k**3 + k**3 - 4*k**3 + (3 - 10*k - 3)*(-19*k**2 + 67 - 67).\nAnswer: 179*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -6. Let p(j) = -j**2 + 5*j. Let x be p(z). Suppose -g**5 - 6*g**3 + 4 + 5*g - x + 4*g**4 - 6*g + 4*g**2 = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 516\/387*(-6)\/10\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0519 + -252.9481. Let m = 2764496 + -2764748.9837. Let k = m - g. Round k to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26530, -53135, -79740, -106345?\n\"Answer: -26605*s + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 279695 + 93234 + 93233 + 93228.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20752720 divided by -2075272\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-20 - (-6 - (10 - 13)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*m - 8, -2*z + 5*m + 12 = z. Solve -4*c = -v + 1 + 14, z*v + c + 8 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -159 less than -160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6143?\nAnswer: 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-3))\/(9\/(-27)). Let q be 1 - (-1)\/(-1)*v. Let r be 5*((-4)\/(-4) - q). Solve -2*s - 9 = -r*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*n = 3*n, 2*p - 4*n = 2. Let y be -4 + 23 + p + -1. Let b be y\/6*4\/2. Solve b = v + 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11505734 (base 8) to base 16\nAnswer: 268bdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 1 (c) 9 (d) -16\/1417 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/12)\/((-4)\/60). Suppose 0*w + u = -o - 4*w, -15 = 2*o + 3*w. Which is the second smallest value? (a) o (b) -8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106023711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 318912?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}