diff --git "a/data/dm_maths/full_data/1650_11255.jsonl" "b/data/dm_maths/full_data/1650_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1650_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the third derivative of 20*s**5 + 142*s**4 - s**3 - 13999*s**2.\nAnswer: 1200*s**2 + 3408*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - w**2 + (-3*w - w + 2*w)*(-147*w + 120*w - 905*w).\nAnswer: 1863*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019804 is divided by 244?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3142059.17 to the nearest 1000.\nAnswer: 3142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(1100)*-2*-6)**2 + sqrt(1100) - (3*(sqrt(1100) + 1) - sqrt(1100))**2) + (2 + sqrt(1100) + -2 - (-1 + (sqrt(1100) + 2)**2))).\nAnswer: -458664 + 420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -19. Let j(a) = -2 - 2 + 9*a + r. What is the tens digit of j(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6)*(-6 - 3). Suppose -q = -r*q + 445. Does 24 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0442465875 rounded to four decimal places?\nAnswer: 0.0442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3950 by -2.\nAnswer: -1975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 - 87. Suppose 0 = -4*u - 7 - 1. Put g, u, 4 in descending order.\nAnswer: 4, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 112.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148848*a**4 + 144*a - 62?\nAnswer: -1786176*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13277, 18723, 24165, 29603, 35037, 40467, 45893?\nAnswer: 51315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, m: 9, n: 2}. Give prob of picking 2 h and 1 n.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10878 is divided by 591.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 608619 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d - 5. Let r(a) = a - 7. Let f be r(10). Suppose 0 = -f*o - 0*o + 12, 0 = -2*c + 5*o - 32. Calculate the remainder when s(c) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from bss.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9006 = -2*u + 394*o - 399*o, 4*u + 4*o = 18000. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 527454.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + i - 112. Calculate x(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16117 + 6545 = 94*m - 10426. Are m and 354 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7*v - 80 = 0. Suppose -x + 9 = 2*a, 2*x + 2*a - 5 = 9. Calculate the greatest common factor of x and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2559116, 5118347, 7677578, 10236809?\n\"Answer: 2559231*t - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -4*q**7\/21 + q**6\/24 + 5*q**5\/4 - 5*q**4\/24 - 35*q**3\/6 - 1916*q**2. Determine f so that c(f) = 0.\nAnswer: -1, -7\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-297)\/(-6930)*10\/15*4\/(16\/30)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/37 in 0, -24, 0.01?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 104237 (base 8) to base 16\nAnswer: 889f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/((-1)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 423821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605*f**4 + 2888490*f**3 - 2932150505*f**2 - 1230651668100*f - 109820629140500 = 0 for f.\nAnswer: -1835\/11, 2554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 498493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-3\/5)*z**(1\/4))**(-39))**(-1) assuming z is positive.\nAnswer: z**(1443\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010009 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - k**3)*(5 - 21*k**2 - 5).\nAnswer: 21*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17982822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -2. Suppose 3*f = -0*f - 6. What is the units digit of f - d*7\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 4 + 35 - 12 + 4*a as c + m*a and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15249, 15280, 15333, 15408, 15505?\n\"Answer: 11*q**2 - 2*q + 15240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 250953331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 10. Let i be 428\/(-28) - s\/(-7). Let k be 3\/i - (-15000005)\/25. Round k to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 + 5*y**2 + 59*y + 174. Let j be z(-3). Calculate the highest common factor of 4128 and j.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111001001 (base 2) in base 3?\nAnswer: -2000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4082571.\nAnswer: 3, 71, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + f + 13 = 5, 0 = 3*a - f - 6. Find the second derivative of 33*x**a + 26*x**2 - 58*x**2 + x - 3 wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1890 + 17008\/9. Suppose -t - 5*l + 19 = 0, -3*t - 4*l + 9*l - 23 = 0. Which is the third biggest value? (a) 1.6 (b) -0.4 (c) v (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t - 4. Suppose k + 3*s = 4, -2*k - 3*k + 5*s + 20 = 0. Suppose -k*w = 4*l + 8, 3*w + 5*l + 2 = -0. Let a be q(w). Solve 5*g - g = a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -332.35 - 10714.15. Round d to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 177.31514724 + -180.735156. Let u = 3.42 + m. Round u to 7 dps.\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p**2 - 9*p + 1. Calculate the remainder when 255 is divided by r(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -15*v**4\/8 + 62803*v**3\/8 - 242655*v**2\/8 + 171509*v\/8 - 12549\/4 = 0?\nAnswer: 1\/5, 2\/3, 3, 4183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5 + 90*w**4 + 1582*w**3 - 4074*w**2 - 12524*w - 6960 = 0.\nAnswer: -15, -1, 4, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, m: 4, y: 3}. What is prob of sequence mqyy?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9436, 0.1, 1, 3 in ascending order.\nAnswer: -9436, 0.1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 8*u**2 - 7*u - 13. Let z be c(9). Suppose 0 = z*r - 7414 + 79. Suppose -2*i - 2*q + 479 = -i, 3*i - 4*q - r = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-78)*-5*(-1)\/15?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135 - 135.05. Are 2 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 7:53 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 21 = -3*k + 4*h, 0 = -2*k - 2*h. Suppose 3*x = k*c + 42, 0 = 3*x - 0*c + 5*c - 58. What are the prime factors of (-1 + x - -3) + -3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16149000 to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-14))\/(4950\/1925)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.2, 2\/11, -2, 17302?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 700a9642?\nAnswer: 700a9640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 + 200111?\nAnswer: 201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6385 + 2?\nAnswer: 3.6385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (2 - 4) - (22 + -9 - 18).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 1\/5 (c) -0.09 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 441.0198 millimeters in meters?\nAnswer: 0.4410198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2265, 2241, 2203, 2157, 2109, 2065, 2031?\n\"Answer: y**3 - 13*y**2 + 8*y + 2269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 5*t - 13. Let r = 1175 + -1168. Calculate z(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 12\/13, -2, 2, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.068556 * -0.01.\nAnswer: 0.00068556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-300 - 3*v + 2*v + 309)*(1 - 4 - 9).\nAnswer: 12*v - 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + (-5 + sqrt(500) + 2)**2 - (((sqrt(500) - (-1 + sqrt(500)))*-5)**2 - (5 + -2*sqrt(500)))) + -2.\nAnswer: -80*sqrt(5) + 483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 344*t**2 - 4154*t + 281. Give s(12).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1136*f**2. Let j(d) = -3*d + 13. Determine r(j(k)).\nAnswer: -10224*k**2 + 88608*k - 191984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(36\/(8\/(-4))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 + -4.86. Let k be 4 - 31*(-2)\/(-2). Let r be (-12)\/k*12\/(-32). Which is the fourth biggest value? (a) m (b) 1.4 (c) r (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 32*v - 45. Let q be u(6). Let i = -111 + q. Calculate the lowest common multiple of i and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*s - 6, 4*r + 3 = 11. Suppose s = m - 9 - 3. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -92*u - 4*u**2 + 93*u - 4 + 2*u**3 - 3*u**3 + 3. Give q(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -100*v**4 + 660*v**3 - 869*v**2 + 309*v + 27. Let g(x) = 25*x**4 - 165*x**3 + 217*x**2 - 77*x - 6. Let j(k) = 9*g(k) + 2*i(k). Factor j(r).\nAnswer: 5*r*(r - 5)*(r - 1)*(5*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -46. Let q = -3 - -4. What is the highest common divisor of w and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9444 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-8\/9)*m*m)*m)\/(m**(-9)\/m*m)*((m**(2\/9)\/m)\/m*m)**(-3\/2))**14 assuming m is positive.\nAnswer: m**(1393\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-51)*(-140063)\/(-1177)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/3)*f*((((f**(-1)\/f)\/f)\/f*f)\/f)\/f)**(-16) assuming f is positive.\nAnswer: f**(128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -304*r**3 + 93*r**2 + 241386*r wrt r.\nAnswer: -1824*r + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 571314460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219494, -219329, -219164, -218999, -218834?\nAnswer: -218669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1483*p + 49028 - 120404 = -730*p + 3708*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -78516 - 0.3?\nAnswer: -78516.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 4*f + 117. Let r = f - -54. What is the units digit of 68\/((8 + 0 - r) + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -5164*t + 5168*t + 4*z, -t = 2*z - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + v = 139791 - 559788, 0 = -4*a + 5*v + 1679985. Round a to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k + 3. Determine m(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3.6*700085\nAnswer: 2520306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 146253 divided by -6?\nAnswer: -48751\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 58*i + 11. Let n(c) = c + 1. Let j(u) = g(u) - 5*n(u). Let o = -10 - -17. Is j(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9220 is divided by 168?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 5*f**4\/24 - 19*f**3\/6 + 21*f**2. Let z be w(7). What is the highest common factor of 176 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136555 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 68, 127, 218, 353, 544?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -29*g - 1. Let f(m) = -18*m**2. Calculate d(f(a)).\nAnswer: 522*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2, 1\/8, 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28511972 is divided by 9876.\nAnswer: 9836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*c + 750*c + 45696 = 246*c - 1032*c for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - 9 + 9)*(2*z**2 - 2*z**2 + 2*z**2) + (0*z + 2*z**2 + 0*z)*(96 - 96 + 13*z)*(4 - 2 - 1) as q*z + s*z**3 + y + j*z**2 and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 7:36 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*l**0*l*l))**(-13))**(5\/12)*((l\/l**(7\/5))\/(l*l**7\/l))**16 assuming l is positive.\nAnswer: l**(-2043\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2*r + (0 + 12 + 4)*(r - 2*r - 2*r) to the form o + y*r and give y.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 4.1.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -152?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*r - 2)*(-2 - 3 + 3) + r + 0*r + r + 2.\nAnswer: -6*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/126 and -149\/114?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 3*c**2 + 0*c**2. Let o(y) = 9*y - 11. Suppose -3*t + 12 = 45. Let m(a) = 5*a - 6. Let g(k) = t*m(k) + 6*o(k). Give g(h(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + 221. Suppose -53 = 3*b - 2*b + 2*s, 0 = 4*b - 3*s + g. Let j = -21 - b. Calculate the remainder when j is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -461 + -4?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 52*n - 6. Let u(d) = d - 1. Give -6*u(z) + y(z).\nAnswer: 46*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**8\/m*m)\/m)\/m**(-1\/51)*(m**(-34))**(2\/33) assuming m is positive.\nAnswer: m**(2782\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 72337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 2)\/(-2 + 1). Suppose -2*b + 2 = 0, 0 = 19*a - 16*a + 4*b - 10. Solve y - 2 = -a*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 3, -5, 8948, 0.\nAnswer: -5, -2, -1, 0, 3, 8948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orr when three letters picked without replacement from rgqgor.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6000 by 25.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4160067.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 27*i + 32. Calculate d(27).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 + 7*b - 13. Let a be z(-3). Sort -1, a, -41.\nAnswer: -41, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (18*(-14)\/(-168))\/((-9)\/(-2766)) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26020.51195 + -26023. Let o = j + -0.05895. Let n = o - -0.047. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58315831 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Let c = w - 8. Let m = -3 + 2. Which is bigger: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 3 in decreasing order.\nAnswer: 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2457760 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.71 - -0.61. Put 0.5, 0.3, t, -1\/4 in descending order.\nAnswer: 0.5, 0.3, t, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144.107 + 144. Let t = 17 - 16.955. Let u = t + b. What is u rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6141*s + 108082 = -1984*s for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 21*v + 11459 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 b when four letters picked without replacement from {b: 3, t: 3, u: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 4 - (16 - (2 + 9))) + -28 - 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 480 = 4*u, -u + 106 = -2*i + 6*i. List the prime factors of u.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 53?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c + 52 + 10 = 0. Suppose 6*d - 66 - 78 = 0. Suppose 8*l + 2*w = 3*l + 4, 5*w + 25 = 5*l. Solve -c*t = -b + l, 0*t - d = -4*t - 5*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1688.8 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 1) + (-7 - 46 - -19)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -4. Suppose q*s - 6*s = -6. Let x = s - -1. What is the remainder when 7 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 179, 287, 411, 557, 731, 939?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 259*f**2*k**2 - 2*f**2*k*s**2 + 4*f*k**2*s + 2*f*k - 2*f*s**2 + 7*k*s - 2 wrt f.\nAnswer: 518*k**2 - 4*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197*w**2 + 2*w + 135.\nAnswer: 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354.6*-1105.\nAnswer: 391833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -226 + 221. Put 0, t, 2\/15, -0.7 in descending order.\nAnswer: 2\/15, 0, -0.7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u + 1400 = 0. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-1 - (6 + 0 + -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/176 and -101\/280480.\nAnswer: 3085280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqyyxwxxxxjnqnq. Give prob of picking 1 w, 1 y, and 2 n.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 11 = 17*a. Let w be (a\/(-204))\/((14\/12)\/7). What is the third biggest value in -4, w, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + 4 + (-15 + 30 - 13)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 4, -134 in decreasing order.\nAnswer: 4, -1, -7, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 10906?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5324*b**2*c**3 - b**2*c**2 - 27*b**2*c - b*c**6 + 57*b*c - c**2 wrt c?\nAnswer: 31944*b**2 - 120*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 29935 = 5*s, 4*o + 13*s - 23978 = 11*s. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.8 (b) -1\/3 (c) -1\/6 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + (-598)\/(-91) - 1*115\/(-7). What is the highest common factor of i and 456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + 7 + -6 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 284 = 84. Let k = -129 - c. Is -27 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/(s\/s**(6\/11))*s)))\/s)**12 assuming s is positive.\nAnswer: s**(72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(-9))\/(n*n**(2\/17)))\/(n**(-6\/11)*n**9))**(2\/35) assuming n is positive.\nAnswer: n**(-6198\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334739.\nAnswer: 37, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193 + -197. Let d = -0.02 + -0.08. What is the smallest value in d, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/16)\/(3\/60). Let k = -63 - p. Let n = k - -40. Solve n - 14 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1741 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 11:16 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 751585, 751584, 751583?\n\"Answer: -d + 751586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 18. Suppose 0 = -n + 51 - v. Calculate the smallest common multiple of 21934\/814 - (-10)\/185 and n.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*c - 5*g, c + 2*c = -g + 6. Let t(u) = -2*u + 3. Let w(r) = 3*r - 4. Calculate c*w(p) + 4*t(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114.7872 centuries to millennia.\nAnswer: 11.47872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657898.\nAnswer: 2, 211, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51182 + -29529. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*m + 38*m - 131*m - 153*m.\nAnswer: -381*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24443401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -107*b**6\/15 - 5*b**2 - 3*b - 2. What is the first derivative of f(w) wrt w?\nAnswer: -856*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 1:05 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q = 33. Let w = q - -16. Suppose t + w*g = 4, -3*g - 12 = -3*t + g. Solve -t*p = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1611*t**2 + 2*t + 1605*t**2 + 8*t - 10*t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 46*z - 433. Let l be g(-9). Solve 30*v + l - 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.360634942 rounded to 2 decimal places?\nAnswer: 1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**6\/3 + 5*d**4\/2 - 2152*d**2 + 5514. Find the second derivative of j(k) wrt k.\nAnswer: -40*k**3 + 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 1857912?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21591, -21594, -21597, -21600?\nAnswer: -21603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**29\/v*v**25*v)\/(v**(-8\/9))**(-50) assuming v is positive.\nAnswer: v**(86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 11 + 23. Solve 2 = -j*q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4*v + 43 - 27 = 0, v = -a + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4, 222904, -0.5, -2\/7, -1 in decreasing order.\nAnswer: 222904, 4, 0.1, -2\/7, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -0.2, -0.225, 18, 1.7, 1\/169?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -625, 0.5, -2\/13 in decreasing order.\nAnswer: 0.5, 1\/3, -2\/13, -625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/4 + 481248627*c\/2 - 77200080329795043\/4.\nAnswer: -3*(c - 160416209)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-12)*1 + 253\/(-3). Let h = 176 + c. Factor 0*k - h - 6*k - 2*k**2 + 87.\nAnswer: -2*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13202 is divided by 125.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 4*h + 56 - 48, -7*h - 8 = 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22224 (base 5) in base 7?\nAnswer: -4363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 203 + 100 - d + 104. Let m be x(1). Solve -2 = 4*i + m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*r - 64*r + 8 = 25 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3988\/5629 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(13\/13 - 2). Find w such that -75\/2*w - 33\/2*w**3 + 0 - 3\/2*w**4 - 105\/2*w**r = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 26?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -235519*v - 460638?\nAnswer: -235519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10295, -41185, -92685, -164807, -257563, -370965, -505025?\n\"Answer: -2*b**3 - 10293*b**2 + 3*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4332.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 70\/24)\/((-4)\/36). Find i, given that 0 + m*i**4 - i**3 + 0*i - i**2 = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 448\/(-192)*210*6. What is i rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*l + 2673 - 393 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 5\/12 (c) -6.1 (d) 1\/8 (e) -1 (f) 53\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - -0.7. Suppose 2*t + 3 - 37 = 5*v, 0 = 4*v + 16. Let s = t - 12. Put 0.4, s, w in decreasing order.\nAnswer: 0.4, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c = -4*o - 10, 15 = -5*c - 3*o. Let t(l) = l**3 + 7*l**2 + 7*l + 9. Let i be t(c). Let n be (-4)\/i*(-18)\/12. Solve -n*r = 2*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -256 + 266 + (1 - 12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 403702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50341 is divided by 168?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3612 and 16539936?\nAnswer: 711217248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10516\/1209 greater than or equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five halves of a century?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 1. Suppose 2*l + 4 = -0*l. What is f(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4*c - 8 = 0, 1704*c = -t + 1699*c - 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 3*u**2 + u - 6. Let l be s(-3). Let k(o) = 3*o + 11. Give k(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 1:04 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from {g: 3, n: 2, o: 1, l: 1, s: 1, p: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -393458*l**2*w**4 + 4*l**2*w**2 - 5*l*w**2 - 2*l*w - 28*l - 4*w**2 wrt w.\nAnswer: -9442992*l**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4)\/u*u)**40*(u**(-2)*u)**(-2\/23) assuming u is positive.\nAnswer: u**(232\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 641879 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1000010011 (base 2) to base 9\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 0*n**2 - 59 + 113\/3*n**3 - 3*n. Differentiate p(z) with respect to z.\nAnswer: 226*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0859474789566541 plus 2?\nAnswer: 2.0859474789566541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 9984?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.78302 micrometers in millimeters?\nAnswer: 0.08878302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 5*h + 3*h)*(-2 + 2 + 1) - 2*h + 2*h + 2*h + 2*h - 4 + 4 - 1054*h + 1053*h + 1 - 4.\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1399*n**4 - 309*n**4 - 404 + 3113 - 63*n**4 with respect to n.\nAnswer: -7084*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -2\/5 (b) -0.1 (c) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*o**2 + 71*o**2 - 80*o + 82*o)*(o**2 - o**3 - o**2).\nAnswer: -172*o**5 - 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m + 24. Give o(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**2 + 7*f - 8. Let t(h) = h**2 + h. Let b(q) = p(q) - 3*t(q). Let v be b(-6). Let m be (-3)\/v + 15\/(-60). Let o(k) = -8*k. What is o(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10153511 (base 6) to base 5\nAnswer: -33420102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)\/j)\/j*(j\/(((j*j\/(j*j**(4\/3)))\/j)\/j))\/j)\/((j**(1\/3)\/j)\/j)**(1\/4) assuming j is positive.\nAnswer: j**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16774201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 12*x - 84. What is the remainder when (-548)\/(-12) + 6\/(-9) is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -30, -20, 10, 66, 154, 280, 450?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -16, 0, 3, -108?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*g + 2. Suppose c - g*b - 10 = 6*c, -3*b = -4*c + 23. What is the smallest value in 0.3, c, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1161092686?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + a358085?\nAnswer: a358083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, m: 1, x: 2, t: 1}. Give prob of sequence mk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m - 6 = 0. Let c(a) = 5*a**m - 7*a**2 + 3*a**2. Let w(y) be the second derivative of y**4\/4 - 2*y. Determine w(c(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-324)\/378)\/((-9)\/14)*-9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303841 is divided by 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 3*k + 2*k)*(k**2 - k**2 - k**2) + (0 - 5*k + 0)*(5 - 2*k**2 - 5).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from {r: 3, n: 1, z: 1, x: 3, c: 2, m: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 8*j**2 - 8*j - 2. What is u(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144056404405166 + 14*l**3 + 144056404405166.\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/73 (b) -8 (c) 488.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 - -22. Let o be -1*(0 - -2) + -1 + -53. Let g = b - o. Is 6 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -488, 0, 1.63, -0.076?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (99\/(-36) + (-4)\/(-1))*160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -147*m + 35. Does 50 divide i(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207*g**2 + 241*g**2 + 101*g**2 + 180*g**2 + 513*g**2 to q + m*g + c*g**2 and give c.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from pedd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61988019?\nAnswer: 3, 233, 88681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1123558*j*v**2 + 2*j*v + 6*j - 899*v**2 - 2*v + 23300 wrt j?\nAnswer: 1123558*v**2 + 2*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 773894 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 577982814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-347)\/(-2082))\/(55\/540*-2).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.3222852 to 3 dps.\nAnswer: 18.322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39805 is divided by 2341.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -135 + 10. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 863 + 167. Suppose -106*b + k*b + 387 = 0. Let g = b + 78. List the prime factors of g.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*b + 330 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*u = -6, -4*b + b = 3*u + 6. Suppose b*c = 5*c - 65. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.245663085 rounded to 3 decimal places?\nAnswer: 0.246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 2659, 2\/9, -2\/273?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/5)\/(s*s**(-1\/5)))\/(((s**(-2\/3)*s)\/s)\/s)**(-43))**(4\/15))**13 assuming s is positive.\nAnswer: s**(-11336\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -46*x**7\/7 - 2*x**3 + 5*x**2\/2 + 23. Find the third derivative of z(w) wrt w.\nAnswer: -5520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 n, 1 o, and 1 x when four letters picked without replacement from {n: 2, h: 1, x: 2, o: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 10:31 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 + 0.2369738807.\nAnswer: -24.7630261193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44967 >= 45762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13997 = 681*y + 4390 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 15 + 1. What is the lowest common multiple of 56 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 0.1, 3.6.\nAnswer: -4, 0, 0.1, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 19, 28?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 232\/(-12)*(-2 + -4). Let d be 3 + 2\/((-72)\/s). Let j = 0.7 - -0.3. Which is the nearest to d? (a) -3\/4 (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6613711132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/9)*n*n\/((n\/n**(7\/8))\/n)*(n\/(n*n*n**13*n*n))\/((n\/n**(-13\/3)*n)\/n))**(1\/7) assuming n is positive.\nAnswer: n**(-1241\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 = 5*l. Suppose 188 = 2*y + 2*t - 116, t = l*y - 295. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:18 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1382602 by -5.\nAnswer: 1382602\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 1, o: 10, w: 5, d: 1, u: 2}. Give prob of sequence do.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -587*t - 1763. Determine y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Let o be -4 - (s - ((-60)\/1)\/(-3)). Let w = o + -7. Solve -3*b - 4*l - 8 = b, 35 = -4*b + w*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079315 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (79 - -2)\/(2\/12 - 0). Let o = 3408\/7 - u. Solve -4\/7 - 2*a - o*a**3 - 16\/7*a**2 = 0 for a.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/5)*g*g**21 assuming g is positive.\nAnswer: g**(109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4809159 is divided by 2182.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s + 9. Let v(u) = -u - 2. Let z(p) = -6*m(p) - 26*v(p). Let h be z(2). Suppose 3*o - 12 = -0. Which is the closest to -2\/3? (a) o (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 13*r**7\/210 + 25*r**3\/6 + 16*r**2. Differentiate q(u) wrt u.\nAnswer: 52*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, -21, -47, -75, -99?\n\"Answer: r**3 - 10*r**2 + 5*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 261*z - 39254 + 15513 + 14867 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.618347908 + -0.018348558. Let v = -1.5 - 0.1. Let x = h + v. What is x rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -273 + 400. List the prime factors of n.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74008 is divided by 301?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 3. Let p be r(6). Let q(w) be the first derivative of -1\/2*w**2 + 1 + 0*w + 1\/3*w**p. What is q(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365735 = 53*i + 70295 - 167568. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhoo when four letters picked without replacement from ohnjooeeohoojjojjo.\nAnswer: 7\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 155694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21905494 is divided by 199.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7294 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1201.5517 to zero decimal places.\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyeywehwe. What is prob of sequence hyw?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8194815.2 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x**3 + 8*x**2 - x + 2. Let l(m) = 11*m**3 - 9*m**2 + m - 2. Determine 4*l(c) + 5*w(c).\nAnswer: -c**3 + 4*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 6 - 0, l + 2*y = 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (84\/49)\/(-3 - 298\/(-98)) is divided by 2*-1*(-30)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**2*u - 6*q**2 + 5*q*u + 434*u wrt q?\nAnswer: 2*q*u - 12*q + 5*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l + l + 10*l + l. Let k(j) = 20*j**2. What is s(k(d))?\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62056, 124170, 186390, 248770, 311364?\nAnswer: 374226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329464 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282102021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 13 = 49. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 332 + -328. Solve s*x - 18 = 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z**3 + 2*z**2 - 1. Let q = 3 - 1. Suppose 0*d - q*d = 2. Let t = 0 - d. What is w(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 184 - 124. Let r be (188\/u - 3)*(-20)\/12. Let j(p) = -p**3 + 2*p**2 - p + 1. Let o be j(3). What is the fourth biggest value in 1, r, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hedhdeeeoohdodhee. Give prob of picking 1 e and 2 o.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 85a1 (base 11) to base 5\nAnswer: 330424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10755 - 6880. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v**3 + 48*v**2 + 133*v + 256. Give h(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*f + 121*f - 239*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -a607 (base 13) in base 4?\nAnswer: -11213033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/7 - 111\/21) + -1. Is -31634*((-5)\/40 - c\/(-16)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12125 = 4*p + 3*t + 2*t, 12116 = 4*p - 4*t. Round p to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 + 2*k. Let b(g) be the second derivative of -7*g**4\/12 - 2*g**3\/3 - g**2\/2 + 6*g. What is 2*b(j) + 5*z(j)?\nAnswer: j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4376 - -5352. Does 61 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -734, -1494, -2516?\nAnswer: -3800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.1 - 4126?\nAnswer: -4101.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -2\/27 (c) -4\/3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -163*f + 166*f + 12, 5*f + 4*y + 37 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 954 and 22101.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-10938202403\nAnswer: -10938202403.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s - 6030 + 11416 = -122864. Calculate the least common multiple of 1710 and s.\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + (1 - (-2 + 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/7*j + 3\/7*j**2 + 0.\nAnswer: 3*j*(j - 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1818 and 20823.\nAnswer: 12618738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 157\/28260*135*5?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -1. Let g be (2\/r)\/((-1)\/(-15)). Put 1, g, -5 in ascending order.\nAnswer: -5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Let x = -4 - l. Let o = -14970 - -14965. Sort o, x, -3 in decreasing order.\nAnswer: -3, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -460440 (base 7) to base 15.\nAnswer: -193c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -85? (a) -25 (b) -1 (c) -389\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -9*l - 5*z - 90, -5*l - 5*z = -140. Calculate the common denominator of 79\/274 and (l\/23)\/((-3)\/(-20)).\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.73 + 135.73. Let b = -131.1 + h. Which is smaller: b or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 29007097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5 - 11*h**4 + 601*h**3 + 6911*h**2 + 15000*h - 22500 = 0. What is h?\nAnswer: -25, -6, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 393685573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*h + 3)*(-h + h - 6*h**2 + (2*h + h - 4*h)*(5*h + 16*h + 3*h)) to the form t*h + w*h**3 + l + f*h**2 and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjsfjjssjsffmmddjjh. Give prob of picking 3 j.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b8 - -96?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 5:36 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 4:02 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-43)\/(9\/(-21) + 8\/84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4557688.\nAnswer: 2, 569711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -806 + 12769. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*sqrt(605) - (sqrt(2205) - sqrt(5)) - (-2*(-2*sqrt(605) - sqrt(605)) + (sqrt(605)*1 + -3 + sqrt(605))**2)).\nAnswer: -2429 + 79*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1673 - -1677. Solve t*r = -11 - 9, -5*m + 3*r + 25 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 30 = 5*p, -3*i - 4*p = -38 + 3. Suppose -i = 5*g - 65. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8568293900 - -0.3\nAnswer: 8568293900.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 5:29 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 641254 - 641255. Let u be (-2)\/(-62)*(-3 + 0). Put 3\/4, -3, u, b in decreasing order.\nAnswer: 3\/4, u, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pswq when four letters picked without replacement from wqwpqqqssqsv.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011200 + 2?\nAnswer: -11011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 2\/29 (c) -1\/2 (d) 0.4 (e) 8 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.27 to one decimal place.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 311221, 622941, 934665, 1246393, 1558125, 1869861, 2181601?\n\"Answer: 2*x**2 + 311714*x - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -43683956209 take away 140?\nAnswer: -43683956349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1695, -0.07, -1, -0.3, -6?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20816219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9214 and 39?\nAnswer: 359346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*q + 112, -v = -q + 13 + 51. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*z = -60. Suppose 2*b + 0*q = q + z, -q + 18 = 4*b. List the prime factors of (1 - 0)\/(b\/90).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -111 + 119, -v - 3 = -3*t + 4*t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 184*z**2 + 564*z - 548. What is w(187)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2985130 is divided by 6769.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**5*o**5\/o)\/(((o\/(o**(-3)\/o*o*o))\/o)\/(o*o**(-5))) assuming o is positive.\nAnswer: o**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81166.07 centuries to decades.\nAnswer: 811660.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 831 - 10805\/13. What is the fourth biggest value in 3, a, -842, 5?\nAnswer: -842","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -39.3. What is the second smallest value in -0.2, -2\/9, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*i + 2745, -15*m - 930 = -i - 11*m. Is i a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-558)\/(-1085)*(-5)\/(-3)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**8\/1680 - m**7\/75 + 11*m**6\/200 + 28*m**5\/75 + 8*m**4\/15 - 139*m**2. Determine w, given that v(w) = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(40)\/(sqrt(256) + sqrt(4))).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2951 divided by -58867?\nAnswer: -2951\/58867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in -2\/5, 39\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 284 + -613. What is w rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*(sqrt(5) - (sqrt(45) + sqrt(5)) - sqrt(5)) + 4 - (-1 + -2*sqrt(720)))**2.\nAnswer: 1200*sqrt(5) + 12150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68440?\nAnswer: 2, 5, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (906\/604)\/(176\/(-12) - -15)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -3 - -11)\/(-41 + 43)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/1*(-7)\/14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5116\/23123 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*z = 59*z - 3. Suppose 4*a = -0*a. Suppose a*u + 4*n + 26 = 3*u, z*u + 4*n = -14. Is 1 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r + 49 - 194 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73231)\/(-1093) + (-1073)\/16.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.063 at least 657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 2*q**2 + 2*q - 2. Let o be g(-3). Let b be ((-2)\/6)\/(o\/(-15)). Suppose w + 20 = 5*w. Solve -c - 2 = -p, -b = 4*p - w*c - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.534 - 128.534. Put 0.1, j, -5 in ascending order.\nAnswer: j, -5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 4\/3*c**3 - 37 - 8*c**4 + 0*c + 0*c**2. What is the third derivative of y(j) wrt j?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -36*m + 1. Calculate o(-2).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 44*d - 81. Let i be o(-2). Solve 0*u + 5*u + 10 = s, s + i = -2*u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.81962 rounded to 2 dps?\nAnswer: 115.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2422, -2413, -2404, -2395, -2386?\n\"Answer: 9*o - 2431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 7. Suppose -4*b + 14 = c, v*b + 4 = -3*c + 16. Suppose -6 = -2*s + b*g, -4*s - 3*g + 5 + 43 = 0. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 19*x**2 + 20*x + 13. Is t(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (936\/1872)\/((-3)\/960*-2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19894255*y + 19894234*y - 68*y**2 + 69*y**2 - 39788489*y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46.7 + -493.7. Let c = g + 452. Let s = -22 - -33. What is the second smallest value in c, -0.2, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by 20?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2 + 5 + 15261*x**2 - 15255*x**2 + 42*x in the form y*x**2 + j*x + h and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1910)\/(-24))\/(6\/(-16)). Suppose -c = c + 424. Let m = z - c. What is the closest to -1 in m, 3\/2, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 o, and 2 a when four letters picked without replacement from {a: 6, i: 1, o: 1, r: 7, j: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1874*y**2 + 230*y - 1?\nAnswer: -3748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g**2 + 2*g + 2. Let c be b(3). Let o(p) = 22*p - 12. Let q be o(2). What is the highest common divisor of c and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 0 - 4*d - d**3 + 1\/2*d**2. Determine f(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-60)*(-165)\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/44*(-14542)\/1322?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2057))**2*-3 + sqrt(17) + 5*sqrt(68) + -1.\nAnswer: -6172 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 1)*(-2 - 122). Let c = -78 - n. Let d = c + -32. Calculate the remainder when d is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 181515 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1896 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 is the third derivative of 12*k**3*o*u - 10*k**3*o + 26*k**3*u + 2*k**2 - 3*k*o*u + 6*k*u - 4*o*u - 2*u wrt k?\nAnswer: 72*o*u - 60*o + 156*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16133904 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c**20*c)\/c*c**(-1\/26) assuming c is positive.\nAnswer: c**(545\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-3)*11\/2. Let b be x\/(-22)*(-2)\/1. Let s be (b + -1)*(-9)\/24. Sort -1\/5, 2\/13, s in decreasing order.\nAnswer: s, 2\/13, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 4*a - 2*a**3 + (0 - 2*a + 0)*(-4*a**2 - 14 + 14) + (a + a - a)*(3 + 2 + 2*a**2 - 3) + 2*a**3 - 4*a**3 + 0*a**3.\nAnswer: 6*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-3 - -1 - 1). Suppose -3*w + 2*y + 2*y + 48 = 0, 9 = 3*y. Suppose -5*l - w = 5*b, b = -b + 2*l + 4. What is the second biggest value in b, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 416*y - 15731. Give l(-158).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 436.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 8:11 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 6*f + 5*f)*(-542*f - 67 + 67).\nAnswer: 1084*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 - (8 - (3 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/9 and (3\/63)\/(1\/50).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + 5. Suppose 5*y - p = 2*y. Let q(n) = -n + 16. Let f be q(7). Calculate the highest common divisor of y and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -45 and -0.672227862.\nAnswer: -45.672227862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1607, -443, 1481, 4165, 7609, 11813, 16777?\n\"Answer: 380*i**2 + 24*i - 2011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*b - 2, 2*b - 5*x = 31 - 17. Let u(r) = 4*r + 1 - r + 1. Give u(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -55, -78, -121, -190, -291, -430, -613?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o. Let j(q) = -21*q - 62. Calculate 2*j(u) + 10*n(u).\nAnswer: -2*u - 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/7 - 4772*n**3\/7 - 118050*n**2\/7 = 0. Calculate n.\nAnswer: -2361, -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 20, 60, 126, 224, 360?\n\"Answer: b**3 + 4*b**2 + b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133\/3 - 44. Let o be (-45)\/(-231) + 14\/154. Which is the nearest to o? (a) 1\/47 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from jjjjjjbbj.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*c**2 + 300*c**2 - 151*c**2 - c**4 + 1 in the form a*c**4 + i*c + p*c**3 + b + w*c**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddf. What is prob of sequence fd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 233 divided by 5\nAnswer: 233\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3713, -3954, -4199, -4448?\nAnswer: -4701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 65*i**2. Let h(a) be the third derivative of a**5\/15 - 100*a**2 - a. Calculate j(h(g)).\nAnswer: 1040*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 2*d + 116. Find the second derivative of -d*h + 17*h + 13*h + 10*h**5 wrt h.\nAnswer: 200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 21126.\nAnswer: 42252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2 + a + 1 + 4. Suppose 4*r = r + 9. Let f be l(r). Solve -4*s + s = -f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3466274888 to the nearest integer?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37366?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/9133566 and -35\/881309.\nAnswer: 100469226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165247 is divided by 165025.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 - (-29 + 20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.2 - -2280279102.\nAnswer: 2280279122.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*w + 42, -5*j - 3*w = -8*w - 225. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*r**5 - 124079*r**3 + 2*r + 724870 wrt r?\nAnswer: 680*r**3 - 744474*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -860, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**2\/2 + 10*l + 30. What is s(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1429654, -2859306, -4288960, -5718616?\n\"Answer: -i**2 - 1429649*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 559707 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-775)\/2 + (-81)\/54. Let j = -176 - k. What are the prime factors of j?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -834 - -14186\/17. Are q and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (43 - 0) - 9?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**4\/4 + 2*o**3 - 7*o**2 + 22*o - 2004. Determine t(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1013783027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybajjrjrwbww. Give prob of picking 2 j and 1 w.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9310.183 kilograms in nanograms?\nAnswer: 9310183000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 22*a**2 - a - 47. Let p be q(-9). Calculate the greatest common factor of p and 435.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*v - 88*v + 34 = -3*y, -3*y - 9 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 81\nAnswer: 5.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21 - 23 - (-43)\/(-12) and 85\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/(-8)*(4\/(-44))\/(110\/(-363))?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1444275815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-21 + (-28 - -13))) + 29?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 12, -45864, -5, 6, -1, -2\/9, 0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -159 * -0.3\nAnswer: 47.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003957254 rounded to five dps?\nAnswer: 0.00396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 (base 16) in base 11?\nAnswer: -24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**2 - 4*v - 2. Let x be h(-5). Suppose 6*o = 4*o + x. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2593 is divided by 330?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 951398 divided by -5?\nAnswer: -951398\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(576) + (sqrt(576) - (sqrt(576)*-1 - sqrt(576)))).\nAnswer: sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 - 1938\/(-184) - -4. Is 16 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -63, -194, -405, -690, -1043, -1458, -1929, -2450?\n\"Answer: b**3 - 46*b**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1947 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:19 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**3*z**2 + 11*d**3*z + 7*d**2*z**2 - 8*d*z**2 + 41*d*z wrt z?\nAnswer: 6*d**3 + 14*d**2 - 16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -35, -853, 5, 3, 25 in decreasing order.\nAnswer: 25, 5, 3, -2, -5, -35, -853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -12*a - 47 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*2*(-648)\/(-64)*-2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192987*s + 13 = 192984*s + a, 2*a - 20 = 5*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 + s**2 - 4*s + 2. Let a be m(-5). Suppose -a*t + 295*t - 8 = 0. Which is smaller: t or -21\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 193 = -190. Suppose 0 - 4 = b - o, 12 = -2*b + 3*o. Let r(u) = -2*u + 5 - 4 - 2*u**2 + b. Give r(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -187216\nAnswer: -1\/93608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 498729 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -26*v. Let f(n) = n**2 + 13*n - 37. Let h be f(-16). Let r(d) = -6*d - d + h*d - 2*d. What is r(i(l))?\nAnswer: -52*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3)*w\/(((w**8\/w)\/w)\/w))\/(w**(-2\/9))**(3\/31))**30 assuming w is positive.\nAnswer: w**(-4010\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aok when three letters picked without replacement from kbabbabbkobobbobbbk.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 3766402?\nAnswer: -3766404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-36 - -20 - -13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*q + 42*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*q - 8*q. Let z be (0 - 60)\/(-6)*(-75)\/(-10). What is the greatest common factor of q and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((27\/(-4530))\/3)\/(6\/(-5)). Which is the biggest value? (a) 1\/3 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 0*f**2 + 2*f**2)*(232 - 2130 - 523)*(-2*f**2 + 2*f**2 - 2*f**3).\nAnswer: -14526*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-5))\/(1\/(-60)). Let s be (6 - 5)*v\/2. Find the common denominator of -9*(s\/40)\/(-3) and -71\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2105448 is divided by 850.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.048 (b) 1\/5 (c) -5752\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 11 = 2*r. Let p = -8 + -16. Let h be (p\/28)\/(1\/(-14)). Calculate the highest common divisor of h and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (-6)\/(12\/(-14)). Let n(f) = -22*f**j - 26*f**2 + 52*f**2. Let t(d) = 64*d. What is n(t(w))?\nAnswer: 16384*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-7))\/((-32)\/(-56)). What is the third biggest value in m, -1\/3, -5, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (0 + -3 - (-36)\/21). Let l = 11 + -13. What is the nearest to l in 1, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/62*6\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 + -109. Which is the nearest to l? (a) 0 (b) -5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 3*f. Let v be l(0). Suppose 12*z - 3*z = v. Solve i + 3*j + 10 = z, -i - 3*j = i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*i - 328. Is i a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 494882 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 - 7 = 0. Let q(w) = -7*w + 2. Let t(f) = -8*f + 3. Let p(s) = -6*q(s) + 5*t(s). Determine p(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = -q + k, 4*k - 11 = 5*q. Let u = 1.4 - 1.7. Sort u, q, -2\/9.\nAnswer: q, u, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9529229?\nAnswer: 653, 14593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3.791 times -0.3\nAnswer: 1.1373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.3188964 months?\nAnswer: 0.00265747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 2, b: 6, g: 2}. What is prob of picking 1 b and 1 r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 31 = -2. Let s = -10 + x. What is the highest common factor of s and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 24. Let k = 0.13 - -0.87. What is the closest to 1\/4 in j, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 10*n - 7. Give t(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l - 0*l. Suppose -20*x + 15*x + 15 = l. Let p = -105 + 107. Calculate the lowest common multiple of x and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 123886?\nAnswer: 12388.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101 - -11?\nAnswer: -1011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1618, -31 in increasing order.\nAnswer: -31, 5, 1618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -249*o**3 - 1017*o**2 - 41*o. Let b(p) = 248*p**3 + 1016*p**2 + 48*p. Let s(f) = -6*b(f) - 7*h(f). Find the third derivative of s(w) wrt w.\nAnswer: 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-26)\/39)*(-2738)\/(-111)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 4*x - 3*l, 0 = -3*x - x - 2*l + 140. Let c be (x\/(-8) + 3)*2. What is the nearest to 1 in c, 1\/5, -1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -840, -844, -850, -858, -868?\n\"Answer: -p**2 - p - 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59106281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1806370 by 361274.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4533.\nAnswer: 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62050 (base 9) to base 3.\nAnswer: 2002001200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 0*p + 9*p**3 + 2*p - 5*p**4 - 7*p**2 + 83 - 161 + p**5 + 78 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, m: 8, a: 2, e: 3}. Give prob of sequence bmba.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwqqrwqqrwn. What is prob of picking 1 q and 2 w?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g**3 + 58*g**2 - 31*g + 24. Calculate d(7).\nAnswer: -1810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175819?\nAnswer: 7, 25117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (798\/4)\/(-19)*6\/27*9\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119 (base 13) to base 6.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x**3 + 3*x**2 + x + 4. Let a(w) = -11 - 3*w - 7*w**2 + w + 3 + 21*w**3 - 6*w**3. Let g(f) = -6*a(f) - 13*c(f). Calculate g(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430 = -24*k - 862 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 285 and 7.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 - -24. Let f = 38 + t. What is the nearest to -6 in f, 3, 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 v when three letters picked without replacement from vvjoojnojv?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h + 15. What is the second derivative of 2*t**3 - t**3 - 4*t**3 + 0*t**h - 4*t wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 - 68*r**2 + 32*r - 1268. Determine b(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/n*n)\/(n\/(n*n**(3\/5)*n*n)) assuming n is positive.\nAnswer: n**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 12*j**2 - 25*j - 16. Let t be f(14). Sort t, 5, -28 in increasing order.\nAnswer: -28, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w + 0*w**3 - 2527*w**2 + 4*w**3 + 2529*w**2 in the form c*w**3 + o*w**2 + k*w + n and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298933 is divided by 59786.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 557990 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(13) + -1)*-2 + 5)*-4.\nAnswer: -36 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from {s: 10, d: 1, l: 3, j: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*o - 9. Suppose o*k - k - 8 = 0. Solve n = k*n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 821*q + 1644. Let f be u(-2). Solve d - l = 7, -5*d = -f*l + 14 - 43 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12246, -24411, -36576, -48741, -60906?\nAnswer: -73071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-7))\/((-4)\/(-42)) + -4. What is the biggest value in 0.2, t, -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*q - 56. Which is smaller: -0.2 or q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from xfo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k - 10. Let m be f(-8). Suppose 2*h - m = 3*i + 22, 0 = 5*i - 4*h + 74. List the prime factors of (i + 8)*(-2)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/9 (b) 0.3 (c) 0.5 (d) -99 (e) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 10*t**2 - 17*t - 21. What is l(-11)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 959*x - 95*x + 1618*x = -16*x - 29976 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 14.31715.\nAnswer: -7.158575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:31 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -1028, -2357, -4218, -6611, -9536, -12993?\nAnswer: -16982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**0)**(3\/19))**(13\/6)\/((w**(-2\/5)\/(w\/((w*(w\/(w**(1\/3)\/w))\/w)\/w)))\/(w\/(w*w**(1\/3))*w**(2\/7)*w*w)) assuming w is positive.\nAnswer: w**(4027\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 20. Suppose j - c + 2 = 0. Let o = 6958 - 6962. Sort 5, o, j.\nAnswer: o, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 equal to 279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*i + 15, -7 = -u + 3*i + 6. Let f = u - 0. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*f*j*r*t + f*j*r - 2*f - 21*j + 2*r - 2*t wrt f?\nAnswer: -3*j*r*t + j*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 - 3*u**2 - 2*u - 3. Let k = 439 + -441. What is w(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 9*o - 2*o**2 - 9*o to the form d + j*o**2 + x*o and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011010111111000011 (base 2) to base 16.\nAnswer: -11afc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 10*z - 18. Suppose -a - 10 + z = 2*y, 5*a + 20 = 0. Let d(b) = -2*b**2 + 1 - 4 - b**3 + 4 - 2*b. What is d(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 = -3*h. Let a be (2\/(-8))\/((-2)\/h). Let f = -128 + 1413\/11. Is a bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12556 + 12586. Calculate the greatest common divisor of 2240 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -163.21 - -163.2056758. Round n to 4 dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0118 - -0.00818. Round o to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(5\/(-5) - -3). Let s(p) = -12050001*p - 2. Let q be s(a). Round q to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k**3 + 9*k**3 - 28*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 i when four letters picked without replacement from zzziizyiizyiyzizz?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 - 75. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, b: 2, t: 10, i: 1, v: 2}. What is prob of picking 1 b and 1 v?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-24)*((-6)\/(-33) - (-322)\/44)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 4105*h**8\/56 + 334*h**4\/3 + 2*h - 839. Find the third derivative of d(o) wrt o.\nAnswer: 492600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 4*a - 9. Let t be r(6). Let u = 117 + t. Let n = -46 + u. Let j(l) = -l**2 + 4*l - 2. Determine j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-4 + 7 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.71603 millilitres to litres.\nAnswer: 0.09871603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 162009982 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 3414942*c + 971819071947.\nAnswer: 3*(c - 569157)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -45762 divided by 6\nAnswer: -7627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 918862 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31425 is divided by 242.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/2 - 9*c + 27\/2.\nAnswer: 3*(c - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**4 + 5168*z**3 - 69328*z**2 wrt z.\nAnswer: 48*z + 31008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 16*z**2 + 10*z. Is 32 a factor of d(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(13\/5)*f)*f)\/(f\/(f*f**(-11\/6))) assuming f is positive.\nAnswer: f**(-133\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w**2 - 2*w - 4. Let s(g) = -36*g**2 + 13*g + 34. Let h(n) = 9*n**2 - 3*n - 8. Let k(p) = 9*h(p) + 2*s(p). Let q(m) = -6*k(m) + 5*z(m). Give q(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -14.67 (b) 3 (c) 4 (d) -2 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5635 a factor of 1539403560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.746 - 113208420\nAnswer: -113208419.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than 23\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.12, 2, 0.5, -9?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00524188677 to four decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-3))\/((-10)\/15). Let j = i - -2. Calculate the least common multiple of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**6\/144 - j**5\/120 - j**4\/12 - j**2. Let l(d) be the second derivative of w(d). What is the units digit of l(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 25 = 4*j. Let h = -6 + j. Is h equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2\/6 - 151*h\/6 - 76\/3 = 0.\nAnswer: -1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 252018759 to the nearest integer?\nAnswer: 15875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1324 divide 4735948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6 - 13238*r**3 + 6 - 643*r + 13239*r**3 + 15*r**2 wrt r?\nAnswer: 6*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 73*g**2 - 30*g + 2116. Calculate h(73).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-1 + -4 + 3) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 - -89. Calculate the greatest common divisor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -843090*p*s**3 + 4*p*s + p - 16*s + 362 wrt s?\nAnswer: -5058540*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 7. Let x be g(0). Let u(f) = -f**3 - 8*f**2 - 6*f + 2. Let a be u(x). Suppose 4*h = 3*h. Sort h, a, 3.\nAnswer: a, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, -3, 3, 3\/2, 2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -12*i**2. Let z(g) = 2*g + 406. Give r(z(d)).\nAnswer: -48*d**2 - 19488*d - 1978032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + sqrt(19) - (sqrt(1216) + 2).\nAnswer: -7*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 + 324*y**2 + 35*y - 701. Determine v(162).\nAnswer: 4969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1788220.468 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 385616163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 236 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**0*a*a*a)\/(a*a**(-1\/10)\/a))\/(a**(1\/3)*a*a**(-3\/4)\/a*a*a) assuming a is positive.\nAnswer: a**(151\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2365355022 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036263 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8 = 2*b. Suppose d - b = 1. Let t be (6\/d)\/(6\/20). Solve -6*z + 2*z = -t*a, 28 = -3*z - 4*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1937217201?\nAnswer: 3, 17, 167, 227453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aukww. Give prob of sequence uw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 71570 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3132687635 to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4351, -20 in descending order.\nAnswer: 1, -20, -4351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 223, 314, 385, 430?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5722080 and -0.5.\nAnswer: 2861040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 640475*g. Let x(b) = 3*b. Calculate f(x(z)).\nAnswer: -9*z**2 + 1921425*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4355\/26*15\/(-1825). Let r = 9\/73 - q. Factor 3 + 9\/2*f + r*f**2.\nAnswer: 3*(f + 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by (8 - -3) + (-50)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 13068*w - 78553. What is j(6)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**4\/4 + 25*f**3\/6 - 428*f**2 + 2*f. Calculate t(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 - -4.08. Let a = -0.28 - -0.38. What is the nearest to 1 in a, f, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 1626?\nAnswer: 6504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*i = 9971 + 3670 + 10989 - 4902 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22182*a - 44365*a - 12 + 280*a**2 + 22183*a.\nAnswer: 280*a**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -325619935360 and -8.\nAnswer: -325619935368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 124*7\/(-98)*126\/108*-6?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 0 = -4*l. Let k(p) = 7*p + 2. Let r(j) = -8*j - 1. Let m(x) = l*k(x) - 3*r(x). Is m(-8) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3475087 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1336 - 15101?\nAnswer: -16440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-281*r**2 - 296*r**2 + 33*r**2)*(-2*r**2 + r**2 - r**2) + 2*r**4 + 3*r**4 - 4*r**4.\nAnswer: 1089*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-5))\/((-3)\/90). Is 16 a factor of 3\/(-1)*128\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c. Let n(q) = 2*q. Let o = -52 + 53. Let j(x) = o*y(x) + n(x). Let b(p) = 6*p - 2. What is -b(s) + 4*j(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -92 + 211*s + 195*s + 215*s - 624*s as k*s + y and give y.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2122186, 2122188, 2122190, 2122192, 2122194, 2122196?\n\"Answer: 2*d + 2122184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*t - 8665 - 17168 = 0. What is the second smallest value in -4, -1, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 352 or 354?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -564545?\nAnswer: 564540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 2 - (-288)\/(-1 + -2). Let p = -22 - s. List the prime factors of p.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*u**3\/5 + 6689*u**2\/5 + 8943*u\/5 - 3726\/5 = 0 for u.\nAnswer: -138, -27\/16, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 5\/2 (c) -3\/7 (d) 275 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.5 + -24. Let y = -16 - o. Let l be (-6)\/4*(-12)\/(-27). Which is the nearest to l? (a) y (b) -5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t)**(15\/8)*(t*(t*t**(-4))\/t)\/((t**(1\/3)\/t)\/t)*t**3\/t*t*t**6*t**(-1)*t*t**(3\/8) assuming t is positive.\nAnswer: t**(193\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -9. Let m = -272 + 286. Calculate the smallest common multiple of m and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 0.1, -3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/11, -4, 0.04, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -5) + -4 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545*f - 140 = 543*f. What is the remainder when 204 is divided by f?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -27*k**2 + 7177*k + 50271. Give o(-7).\nAnswer: -1291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3. Suppose 0 = l + 4*l - 10. Let s be l\/6 - (1 - 70\/15). Let q be (4 - 2)*(-6)\/s. Let m(x) = x**2 + 7. What is q*m(z) + 7*y(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 1\/3*b**4 + 0*b**3 + b + 0*b**2 + 0. Let q(k) = 6*k - k**2 + 3*k - 9*k. Give z(q(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30.1 + -194.9. Let n = g - -225.001096. What is n rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**2)**(2\/11)\/(s\/((s**(-11)*s)\/s))**(-5\/6))**15 assuming s is positive.\nAnswer: s**(1620\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 5*k**2 + 4*k**2 + 180 - 9*k**2 to the form f*k + r + b*k**2 and give r.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -1. Let z = -21 + 21. Suppose y + 3*j - 5 = z, 2*j - 6 + 4 = 0. Calculate the greatest common factor of x and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-4 + -6 + 1 + -21 + 30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.89 - 0.83. What is the third biggest value in f, 6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p - p - 2*p)*(7*p**2 + 56*p + 13 + 85*p - 139*p) + 975 - 81*p**3 - 975 in the form b*p**3 + i*p**2 + m + q*p and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 148*y + 3250. Determine o(34).\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 9*o - 19*o)*(0 - 8 - 1).\nAnswer: 216*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45795408 and 296091?\nAnswer: 137386224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1\/4 (c) -0.09 (d) 2\/17 (e) 0.12 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/30 - (-27 + 22)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21223 and 1757041.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 5 + 5)*(9 - 9 + 6*d)*(155 - 155 - 60*d) as j + t*d + l*d**2 and give l.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -0.18586154690573.\nAnswer: 4.18586154690573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -2*a - 0. Let o = 38 + a. Suppose 9 = -4*n + o. Solve 3*b - 2*f - 6 = f, -b = 3*f + n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9683?\nAnswer: 23, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m + 579. Let b(v) = 11*v - 578. Calculate 6*b(i) + 5*n(i).\nAnswer: i - 573","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5273277483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**4 - k**2 + k. Let n(z) = 17*z**4 + 24*z**3 + 40*z**2 + 4*z. Let u(r) = n(r) - 4*t(r). Determine l so that u(l) = 0.\nAnswer: -22, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.03022 grams in micrograms?\nAnswer: 82030220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 208 = -6*u + 2*u, u - q = -58. Let s = u - -60. Solve t - s*x - 8 = 0, 6*t + 3*x - 3 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -175 + 164 + (-6 - (-10 - (-2 + 133))).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60697*i**4 - i**3 - 2*i**2 - 6918975*i?\nAnswer: 728364*i**2 - 6*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 7 + 40 + 148*b**2 - 157*b**2 + 10*b**2 - 14 - 13.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 4*v - 1. Let w be j(-5). Suppose 0 = 2*x - w - 4. Suppose -5*z + 5 = -y, -y + x - 1 = 3*z. Let r(t) = 7*t**2 + t - 1. Give r(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -994067, 0 in descending order.\nAnswer: 0, -4, -994067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -81, -3\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -m - 3*m. Suppose 0 = 202*t - 193*t. Sort -4, 3, m, t.\nAnswer: -4, m, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-12) - (-464)\/(-192). Let m = -12.1 - -14. Let q = m + -2. Is s bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**3 + 80*g**3 - g**3 - 14*g**3.\nAnswer: 56*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (394\/985)\/((-29)\/5).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11365555 (base 7) to base 4.\nAnswer: 3312012103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2263*u**3 - 140*u - 2*u**2 + 628*u + 2261*u**3 in the form h*u**3 + v + b*u**2 + r*u and give r.\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -405067350 greater than or equal to -405067349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1893506 is divided by 541.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 27 + c**3 - 36 - c**2 + 23*c**2 + 14*c. What are the prime factors of g(-21)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/9 + 0)*(-12)\/86. Let r = 687\/473 + o. Let v = 1165 + -2389\/2. Calculate the common denominator of r and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -4.7. Let c = 8 + -14. Let v = c + p. Is -1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t**5 - 8*t**2 - 5. Let w(f) = -5*f**5 + 8*f**2 + 6. Let m = 19 - 24. Let x(h) = m*w(h) - 6*u(h). Find the third derivative of x(n) wrt n.\nAnswer: -660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -7, -2, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-6*(0 + sqrt(242) + sqrt(242)))**2)*2.\nAnswer: 69706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 14. Let b(m) = -m**3 + 4*m**2 + 618*m + 4 - 328*m - 290*m. Let t(l) = l**2 + 1. Give n*t(w) - b(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**4 + 3*q**3 + 2*q**2. Let z(r) = 385*r**4 + 15*r**3 + 10*r**2 + 3*r + 208. Let v(f) = 5*b(f) - z(f). What is the second derivative of v(h) wrt h?\nAnswer: -4680*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -894*s**3 + 217*s**3 + 251*s**3 + 216*s**3 + 209*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*h = 6, 9*h - 16 = -5*f + 10*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 - i**5 - 3*i**5 + (265 + 9*i**2 - 265)*(i**3 - 3*i**3 + 4*i**3) - 5*i**5 + 4*i**5 - 2*i**5.\nAnswer: 13*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.98 + -33. Are y and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*t + 2*h = 174, 0 = 16*t - 15*t + 3*h - h + 31 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -131, 5752, 2, 5, 1 in increasing order.\nAnswer: -131, -4, 1, 2, 4, 5, 5752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 4 - (-2 - -15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 46 = -f, 4*r - 5*f - 13 - 61 = 0. Sort -2\/9, -4, 4\/3, r, -1\/6 in decreasing order.\nAnswer: r, 4\/3, -1\/6, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 0) + -8 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in 562\/453, 0.2, -0.1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 4945374.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4356)*-2)\/sqrt(12)*-1*-5)**2.\nAnswer: 36300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 10*n**3 - 212. Let l(c) = 5*c**2. Determine f(l(p)).\nAnswer: 750*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14931 + 51.88369. Let a = 52 - o. Let t = -0.01 + a. What is t rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154)\/2*-25*(-66)\/5775?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39966528 by 178422.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3418014?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1869432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -q + 11, 5*q - 9 = -d + 10. Solve q*z = 4*x - 2 + 18, 2*x + 8 = -2*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523113 a multiple of 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139 = -94492*j + 94582*j - 41 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**3 + o**2\/2 + 4*o. Let q be (4 - 4)\/(-2 + 1). Suppose 6*x - 9*x + 9 = q. Determine s(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*h - 195 + 21 = 552 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**5\/60 - 13*i**4\/24 + 5*i**3\/2 + 2*i**2. Let j = -38 - -25. What are the prime factors of y(j)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdj when three letters picked without replacement from djdbdsjbjdddjd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1281316?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/3 + 7*-1. Let b be 1 - 2 - (l + -2). Let y = b - 3. Solve y*t + 3 = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n, -x + 5*n + 3 = -2. Suppose -103*v + 104*v - 4 = 0. Solve 2*i + v*b - 8 = 0, i + 0*b - 16 = -x*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 1052*v + 31 - 19057 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (56\/6)\/(3\/9) is divided by 42\/7 + (2 + 0 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21766 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-209)*-55 - 105\/60\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2845 is divided by 420?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.2 - -48.8. Let v = 56890122.999999 - 56890069. Let q = a - v. What is q rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 32 = -3*m. List the prime factors of 4\/10 + m\/20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 11*t - 5. Let z be b(11). Let h(g) = g - 1. Let x(d) = d**2 + 5*d + 4. Let r(s) = -h(s) - x(s). What is r(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddbxvbpbvxvllx. Give prob of picking 1 v and 1 l.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1248085637 to the nearest integer?\nAnswer: 35328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*d + 34, d + 0*d + 190 = 491*f - 495*f for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:40 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**3 + 5*j + 2. Let d(q) = 5*q**3 + 6*q + 2. What is 6*b(f) - 5*d(f)?\nAnswer: -f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (39*(-56)\/(-672))\/((-10)\/8 - -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7176260 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -94.9 and -1.839.\nAnswer: 174.5211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/4 + 1\/2. Sort -2\/9, 1\/2, w in decreasing order.\nAnswer: 1\/2, w, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 23*j**2 + 48*j - 552. Suppose 0 = 3*m - 5*x - 47, 33 = 3*m + 2*x - 49. Calculate the lowest common multiple of (1 + 5)*m\/9 and h(22).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 88 + -3*(-20)\/(-15). Let a be (1 + 9)\/((-6)\/(-27)). Let w = b - a. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - c**2 + c - 1. Let a(o) = -90*o**4 - 3*o**3 + 3*o**2 - 3*o - 56. Let u(d) = a(d) + 3*h(d). Differentiate u(k) with respect to k.\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 3 - 4)*(-1 + 3 + 0) - 2 + 5 - 2)*(-97 - 34*m**5 + 97).\nAnswer: -238*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide (-10156)\/((-30)\/(-3) - 14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 42. Let n(w) = -w + 7. Calculate n(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f = 4, -74 = -5*h + 3*f. Let x = h + 13. Let z = 42 - x. Solve 2*o - 6*o + 2*s = 0, 0 = -5*o - 4*s - z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1\/8 (c) 2\/47 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/7*z**2 - 66\/7*z - 1089\/7 = 0. What is z?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1265 and 972785.\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 24*n**2 - 2*n - 14. Let z be x(-12). Let w(l) = -l**2 + 5*l + 44. What is w(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 41 + 86 - 2 + 129 + 17)*(136 - 136 - 18*x).\nAnswer: -4464*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 8) to base 3\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1525, 2377, 3239, 4117, 5017, 5945, 6907, 7909?\nAnswer: 8957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-12*1\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 552 - -552)*1*5\/(-112)?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 314630 and 493495?\nAnswer: 72050270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1783503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/13, 0.2, -567 in descending order.\nAnswer: 2, 0.2, -2\/13, -567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410865 to the power of 1\/2, to the nearest integer?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -6. Suppose 4*r + 4*k - 11 = 61, h = 5*r + 3*k - 90. What is r rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1.2 (b) -2 (c) -472\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2383806575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 638 divided by 37705\nAnswer: 638\/37705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 2. Let c be l(0). Let g be c\/(-2 + 0)*5. Let j(m) = 7*m - 2. Let y(h) = 21 - 44 - 8*h + 25. What is g*y(n) - 6*j(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 6*v = -21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**4 + 5*c**4 + 12*c**4)*(0*c + 4*c - 6*c + 5).\nAnswer: -22*c**5 + 55*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*l = 32592, -3*k = 3*l + 5999 + 13558. Let w = -2858 - k. Suppose -6*n - w = -15294. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqr when three letters picked without replacement from {n: 1, f: 1, r: 1, y: 2, q: 1, o: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1011644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280690695 by 213453.\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1075048783 to the nearest integer?\nAnswer: 32788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -77 - 2\/33*t**3 + 0*t**2 + 2\/11*t. Factor g(b).\nAnswer: -2*(b - 1)*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/14 - 12\/(-24).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 8647340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111*n**2*w**5 + 2*n**2*w**2 + 5*n**2 - n*w**5 + 2*n*w**2 wrt w.\nAnswer: -6660*n**2*w**2 - 60*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 35377 = -18*f - 2*l, 23603 = 2*f + 5*l. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 0.32857?\nAnswer: 0.0065714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**8\/560 + d**5\/40 - 13*d**4\/24 + 5*d**2. Let z(b) be the second derivative of m(b). Differentiate z(k) wrt k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0 + 6 = 0. Find the third derivative of 14*v**5 + 8*v**2 + 2*v**2 + v**p wrt v.\nAnswer: 840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 8 = 5*g, -146*g - b + 4 = -143*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/21 + (-68)\/(-7). Is 11 a factor of 22*(-4 - (-45)\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -6. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2436, -4752, -7104, -9486, -11892, -14316?\n\"Answer: n**3 - 24*n**2 - 2251*n - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5007604013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -8. Suppose n*v + 9 = 5*v. Is 15 a factor of 65\/v - (-5)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 10:42 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 4, 2 in descending order.\nAnswer: 7, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 29.15. Let x = -0.05 + r. What is the nearest to 0.02 in 0, x, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -7 + -6 - 8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75*i**5 + 1602*i**3 + 32076*i**2 + 2?\nAnswer: 4500*i**2 + 9612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1129 + -541. Let z = -584.251 + l. Let c = z - 0.049. Round c to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 262*a + 103*a + 2.\nAnswer: 365*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.1 - 25. Let t = 2 + b. Let m = 235\/4 + -59. What is the closest to m in 0.5, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/38? (a) 41 (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -362 + 66. Suppose -4*b = -s - 3*s + 104, -f = -5*s - b. Factor -s + 14*a - 22 - 19*a**2 + 2 + 18*a**2.\nAnswer: -(a - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -214808.26 and 467.\nAnswer: -214341.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*h**2*w**2 + 59449*g**3*h**2 + 21*g**2*h**2*w**2 + 30*g**2*h*w**2 + 45*g**2*w**2 wrt g.\nAnswer: -12*h**2*w**2 + 356694*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8344440 + -5690050. Suppose 4*g = 4*s + c - 54254370, -38700010 = 3*g + 2*s. Round g to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 2*n**2 + 6*n - 6. Let v be p(3). Let t be 4*v + (15 - 17). Find the second derivative of -82 + 23*o**5 + t - 23*o wrt o.\nAnswer: 460*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + 3*x)*(121 - 30 + 57).\nAnswer: 444*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m**2 - 8*m - 187. Let f(h) = -12*h**2 + 9*h + 189. Let k(j) = -4*f(j) - 5*y(j). What is the derivative of k(i) wrt i?\nAnswer: -24*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 238 = -5*t, 3*t - 139 = 7*i - 2*i. Suppose -3*d - t = -9*d. Let r(o) = o**2 - o + 21. Calculate the remainder when r(0) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdbbbdbssb. What is prob of sequence bd?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((4\/((-56)\/(-21)))\/31).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -399 + -3b68?\nAnswer: -4345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -279.806183 rounded to 2 dps?\nAnswer: -279.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*f + 323, -2*f - a + 235 - 22 = 0. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/6 and -5961025\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5 + 2360*f**4\/3 - 9425*f**3\/6 + 2355*f**2\/2 + 335*f. Factor x(w).\nAnswer: -5*(w - 471)*(2*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39.5 - -39. Which is the second smallest value? (a) -1\/4 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13220 + -11?\nAnswer: -13231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113101301 - -1320?\nAnswer: -113033321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 10 - 8)*(-2*l**2 + 124*l**3 - 61*l**3 + 8*l - 70*l**3) to k*l + t*l**2 + m + o*l**3 and give o.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 55. Let t = -35 + o. Suppose 3*k + 33 - 153 = t. What is the highest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 41?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 84683387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5\/3 + 548*g**4 + 59120*g**3 + 4598356*g**2\/3 + 1474214*g = 0.\nAnswer: -49, -1, 0, 921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -19. Suppose -f*c = -3*c + d - 11, -c = -5*d - 8. Solve 2*w = -c*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 0.55. Let m = 0.049998 + x. What is m rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6646 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0604423964 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 23 + 26 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 1:23 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 10.92, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-4\/7)\/p))**(18\/7)\/(p**18*p*p**(-9\/5)) assuming p is positive.\nAnswer: p**(-2594\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -316 - -719. Let d = 1571\/4 - l. Calculate the common denominator of -1 + -1 + (-210)\/(-33) and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27055, -27209, -27465, -27823, -28283, -28845?\n\"Answer: -51*w**2 - w - 27003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**9*d*d**(2\/19)*(d**(2\/5))**12 assuming d is positive.\nAnswer: d**(1416\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05401? (a) 0 (b) 1\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2 + o)*(3*o - 2*o + o).\nAnswer: 2*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 4*v - 3*v + (1 - 4 + 1)*(2 - 2*v - 2) + 2*v - 3*v + 0*v)*(6 - 1 + 1).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2082\/13 + (-4)\/26. Let s = q + -26. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + 0.1. Let z = -268 - -265.926. Let d = z + 0.074. Which is the closest to 1? (a) d (b) y (c) 3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 21. Calculate the remainder when 27 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64607674?\nAnswer: 2, 569, 56773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 38. Let r = 669\/341 + -23\/62. Find the common denominator of (-5 - -2)*k\/232 and r.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 15168.\nAnswer: 15164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from vvggvvgmmgvggvglgvg?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -33*z + 0*z**2 - 1\/26*z**4 - 1\/195*z**6 + 0 + 0*z**3 - 2\/65*z**5. Determine a, given that f(a) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 divided by 122.\nAnswer: -44\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4.8, -0.2, 2, 0, 41?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 9*r + 16. Let c be g(-7). What are the prime factors of (-6)\/(-9)*(c - -55)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4732)\/(-252) - 2\/(-9). Suppose -6*s + z = -2*s - r, 2*z = s - 10. Solve -5*y - 4*d - 20 = -0*y, -4*y = s*d + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q. Let f(c) be the second derivative of 23*c**3\/6 - 2*c + 14. Determine s(f(d)).\nAnswer: 207*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4707306 and 3296?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 8:34 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1297301 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*a = 292 + 319, 4*a = 3*x - 477. Let c = -10276 - -10281. What is the greatest common divisor of x and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h - 697 = u - 787, 3*u + 6 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/5 - 344*n**3\/5 + 14444*n**2\/5 + 29928*n\/5 + 15138\/5.\nAnswer: 2*(n - 87)**2*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**4\/12 - f**3\/3 - f**2 - 12. Let p(j) be the second derivative of s(j). Give p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -821*c - 8370 = 109*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -817, -6409, -21539, -50977, -99493, -171857?\n\"Answer: -795*a**3 + a**2 - 30*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -11842 - 1658 - 5*b**3 - 5400*b - 281669*b**2 + 281354*b**2 = 0.\nAnswer: -30, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0. Let f be 0 + -26 + (-2 - g). Let k be (-4)\/(-10) + f\/5. Which is the nearest to 0? (a) -0.2 (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, r: 7, z: 2, m: 1, g: 3}. What is prob of picking 2 z?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.4 (c) 47 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21231 + -10100?\nAnswer: -31331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:14 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {t: 2, h: 1, x: 11, e: 1, n: 4}?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 113034, 226103, 339172?\n\"Answer: 113069*j - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013278229 rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204776 = a + l, 5*a - 2*l - 1432968 = -409053. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1, 654\/4885?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149 - -142. Let p(k) = k**3 + 7*k**2 + 2*k + 7. Determine p(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 214\/14 - (-46)\/(-161). Let x be ((-2)\/3)\/(((-16)\/s)\/16). Solve -r + 1 = a, -a - 3*r + 3 = x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 6:48 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d - 90*d - 2340 = 61*d for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - u = 3*u + 11, 4*m + 2*u - 22 = 0. Suppose -2*p - 114 = -m*o + 18, 24 = o - p. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29226750*i**2*r**2 - 4*i*r**2 - 39*i + 1008*r**2 - 6*r wrt i.\nAnswer: 58453500*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 61. Suppose -4*g - 5*s = 85, -a = 2*g + s + 30. Is 7\/(35\/g)*(-651 - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -490, -974, -1422, -1810, -2114, -2310?\nAnswer: -2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5072 and 500860.\nAnswer: 2003440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.025 + 0.025. Let z be 2067\/(-66) + 2\/(-11). Let p = z + 31. What is the nearest to 1\/3 in p, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-45))\/(34\/(-10)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/13 - 23084642*p**2\/13 - 46169278*p\/13 - 23084638\/13 = 0. What is p?\nAnswer: -11542319, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 14 = -o + 4*g, -3*o - 4*g + 28 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 103*o**2 - 2*o - 1. Is y(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -60028 and -9.\nAnswer: -60037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjqbtbqxxxjeqxebxjj. What is prob of picking 1 q and 1 e?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3302 and 2032?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1232.517s?\nAnswer: 20.54195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9067 - -9095. Solve -30*b - h = 182 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 - 84. Calculate the greatest common factor of l and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, k: 1, s: 3, y: 2}. Give prob of picking 1 d, 1 k, and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 10864?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a century in decades?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 74 + 42 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -14. Let b(r) = -r**3 + 6*r**2 - 9*r + 1. Let c be b(u). Let d be ((-58)\/4)\/((-20)\/8 - c). Round d to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1339*r**3 - 2*r**2 - 2*r - 1845 wrt r?\nAnswer: 8034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -37 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053821 plus -535465?\nAnswer: -535464.946179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 474 = 4*o, 2*o - 4*k - k + 252 = 0. Let q = -28 - o. Does 22 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(((-2)\/(-8))\/1). Suppose -r = 2*r - u. Suppose o - 40 = -r*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11030310 - -2?\nAnswer: -11030302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 20 = 4*v, 11*v - 20 = 16*v. Suppose -w + 4*b + 8 = r*b, 6 = -3*b. Let a(p) = p + 1. Suppose 2*n + 5 = 3. Let f(l) = l. Calculate n*a(i) + w*f(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-49)\/(9\/3 + -4). Suppose -f = 2*n - 173. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3209 + -3092. Solve 0 = -6*k - 81 + j for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 4*p**3\/3 + 3*p**2\/2 - 12*p. Let n be o(3). Let l = -3 + n. Calculate the remainder when 46 is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 43*w + 48 - 104 - 20*w**2 + w**3 = 0. Calculate w.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 4*f + 5*d + 4, -d = -4*f - 13. Is 76\/4 + (-9)\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 15. Let j be (3\/(-3))\/v - -2. Sort -5, j, -2.\nAnswer: -5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfumdzzddu. Give prob of picking 1 u and 2 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14648625856196.1840211 + -14648622664858. Let x = j - 3191338. Let h = 0.184 - x. What is h rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 3)\/(2\/12). Solve -h*c - 126 = 18*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*k - 21 = 0, -2*k = -3*o + o + 8. Let -12*j**2 - j**3 + o*j**3 + 8*j**3 - 3*j**4 = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k - 31. Let y be i(13). Let h = -48 - y. What is the least common multiple of h and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/(-440) + 6\/55?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -0.1402.\nAnswer: -1.5422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 10 = -2*s, -s + 14*h + 8 = 19*h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 3*l**2 + 3*l - 1. Let j be d(2). Let h = 4 - j. Let v be (-1 - -2) + h + -7. Let f(t) = -t**2 - 3*t + 4. What is f(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1)*(-6)\/(-12). Let i(z) = 5 + z + t*z + 0*z. Let r be i(0). Which is the closest to 1? (a) r (b) -1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2. Let m(j) = j**2 + j. Let h(u) = u**2 - 5*u. Let l(w) = -3*h(w) - 15*m(w). What is l(r(b))?\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 5, e: 3, b: 4}. Give prob of sequence der.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 2010120121012202?\nAnswer: 2010120121012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -2 + -67 + (7 - -38).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -6*q - q**2 + 2*q**3 + 1\/4*q**4 - 13. Give p(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104615385.\nAnswer: 3, 5, 7, 23, 43319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1083 + 1079. Sort 1.8, -3, r, 1\/2, 1.\nAnswer: r, -3, 1\/2, 1, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/(-4)*(-8)\/6. Suppose j - 4*j - l = 0. Let y = 20 + j. Calculate the highest common divisor of 132 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135473 and 1326?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0*u**5 - 5*u**3 + 0*u + 61\/120*u**6 + 11*u**2 + 0*u**4 + 0. What is the first derivative of v(y) wrt y?\nAnswer: 183*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - -8) + (-3)\/(-7)*(-1)\/11. Does 0 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 + -52. Suppose 6*b - j = b. What is the remainder when 39 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 - s**2 + s**2)*(3*s + 3*s - 5*s) + (0*s + 4*s - 6*s)*(-5*s**4 - 6*s**4 + 4*s**4).\nAnswer: 16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*j*k**3*y**3 - 15*j*k**3*y - k**3*y**2 - 251*k*y**3 wrt j?\nAnswer: -12*k**3*y**3 - 15*k**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70.99999 + 71. Round o to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -1\/4*p**2 + p + 0 + 1\/24*p**4 + 0*p**3. Factor f(c).\nAnswer: (c - 1)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 3*n - 4*x, -n - 4*x = 5*n - 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 129, 485, 1087, 1941, 3053, 4429, 6075, 7997?\n\"Answer: i**3 + 117*i**2 - 2*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6015\/4 + -1488. Find the common denominator of -63\/20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -56.438\nAnswer: -22.5752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {j: 4, d: 3, u: 1, t: 5, l: 5}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 14) in base 10?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b = 0. Suppose 0*t + t - 1 = b. Let r = 1\/250 + 493\/1750. Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1036, 2073, 3110, 4147, 5184, 6221?\nAnswer: 7258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.953 + -0.247. Let w = q - 0.51. Let y = w + -7.636. What is y rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4724 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -338, -335, -330, -323, -314?\n\"Answer: i**2 - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 = 124*o + 245 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) -47 (c) 0.01 (d) -1\/2 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = -80. Let q be o - (3 - (-4)\/(-1)). Let i = 42 + q. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffaf when four letters picked without replacement from fuuuaff?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02869 - 3.02869. Which is the closest to -0.1? (a) 1\/2 (b) u (c) -127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17279b (base 15) in base 2?\nAnswer: -100010001111110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 5)\/(1\/(-4)). Suppose -d - 5*f = -10, 4*f - 111 + 97 = -2*d. Solve 5*p - v = 17, -d*v + 0*v - 1 = -z*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2226032 + -3?\nAnswer: -2226035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(170) - ((sqrt(170) - 1*sqrt(170)) + sqrt(170) - sqrt(170))*-3))\/(sqrt(50)\/(5*-2*sqrt(5))).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791896456?\nAnswer: 2, 13, 751, 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a factor of 1840619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) 21 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*b - 183*b - 1821120 + 8134376. Does 65 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7))\/2*7 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(6)*1)\/(sqrt(72) - sqrt(18)) - ((sqrt(3) - sqrt(12)\/sqrt(16)) + (2*sqrt(30))\/sqrt(10))**2.\nAnswer: -75\/4 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g**3 + 11*g**2 - 7*g - 16. Let l be k(-5). Let b = -520 - l. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3)\/p*p*p\/(p**(2\/5)\/p)*(p*p**(-1\/2))**(-30)*((p*p\/p**(1\/13))\/(p\/p**(8\/3)))**32 assuming p is positive.\nAnswer: p**(19202\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*(-6*(sqrt(1053) - (sqrt(1053) + 1)) + -3))**2 + -3.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -96 + 2?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 26 = 34. Solve -q = -3*d - d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9068 - 9067.797. Which is the nearest to 1\/2? (a) -0.1 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 + 10)\/(2\/6). What is the third derivative of 13 - 13 - z*w**2 + 5*w**6 wrt w?\nAnswer: 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3930116 times -60\nAnswer: 235806960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/473 in -5\/6, -0.01, 2, 1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**2 + 2*y - 6. Give g(-5).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 9) to base 11.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(117) + 1*sqrt(117)))\/(sqrt(225)*-1) - (-2 + (-5*(sqrt(1573) + 1))**2 + sqrt(1573)).\nAnswer: -39348 - 2813*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1358, -2719, -4080, -5441?\nAnswer: -6802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/(-28) + 4*1. Suppose 1 = i - 3*j - 8, -4*j = -s*i + 23. Suppose -4*u - 9 = 3*v - u, 2*u = -2. Put v, i, -44 in descending order.\nAnswer: i, v, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 48 = -5*d, -2*t - 17 - 10 = 5*d. Let n be (-8)\/28 - 1056\/t. What is the highest common factor of n and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**6\/60 - 14*m**5\/15 - m**4\/12 - 7*m**3\/6 - 2*m**2 - 93. What is the second derivative of u(b) wrt b?\nAnswer: 12*b - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/7 (b) 76595 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 5*a - 14. Let c(r) = r**2 + 7*r + 21. What is -5*c(d) - 7*k(d)?\nAnswer: 2*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 3. Suppose -3*v = c*j - 13, 4*v - 3 = v. Let b = -102815\/7 - -14688. What is the closest to 1\/3 in j, -0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 41 + (0 - -2). Let r = 39 - 36. Is 13 a factor of i + 2*r\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 30522*n - 18011415.\nAnswer: -3*(n + 629)*(n + 9545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 26 - 27 = -69*h. Solve 5*t - h*g - 28 = 0, -2*t + 7*g - 4 = 10*g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v**3 + 2*v**3 + 4*v**4 - 16*v**2 + 2*v**3 - 16*v.\nAnswer: 4*v*(v - 2)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.039, -10, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 162*p**2 + 1. Let g(f) = -2560*f. Calculate m(g(w)).\nAnswer: 1061683200*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1604.\nAnswer: 4812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 14*o. Let r be a(-14). Suppose b + b - 4 = r. Suppose q = 4*g - 2*q - 48, 0 = -b*g + 5*q + 24. What is the remainder when 23 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8552025504.\nAnswer: 2, 3, 11, 107, 25229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 340 - 70 = 0. Let y = 105 - g. What is the smallest common multiple of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*(sqrt(5) + 1) + -1*(sqrt(320) + 1).\nAnswer: -14*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002496 to 4 dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8 - 0)\/((-162)\/(-48))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u. Suppose 0 = -2*t - 5*t - 161. Let o = 28 + t. Calculate the remainder when k(2) is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a + -1095c38?\nAnswer: -1095c1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1a23 (base 12) to base 11\nAnswer: -2445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-4*z**4 + z**4 + 2*z**4 - 19*z**4 - 56*z**4 - 6*z**4 + (3*z - z + 0*z)*(-2*z**3 + 0 + 0) + z**4 + 3*z**4 - 2*z**4)*(z - 2 + 2).\nAnswer: 84*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 9:02 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -135*u**3 + 2632*u - 2632*u + (0*u - u + 4*u)*(-2*u**2 - 1 + 1) in the form r*u + v*u**3 + q + y*u**2 and give v.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b - 13 = x, x = -4. Let i(v) = 0*v**b - 1190 + 3*v + 1186 - 4*v**2 - v**3. Give i(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4231?\nAnswer: 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 1. Let d = -4 - -8. Let y = -5 - 0. What is the nearest to 2\/5 in y, w, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in -37, -2\/7, -1.1, 0.1, 5?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*x**2 + x**3 + 314*x - 465*x - 661*x + 45*x**2 - 97*x**2 to the form n*x**3 + v*x + t*x**2 + o and give v.\nAnswer: -812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 97988078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 60 = -0*v. Suppose -6*s + 675 = -s. Calculate the greatest common factor of s and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 638.4304 days?\nAnswer: 15322.3296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-10))\/(1\/(-5)))\/((-699)\/(246747\/(-28946))).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1292153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 = 39*u + 101 - 58 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdh when three letters picked without replacement from {h: 1, d: 9, p: 2, t: 2}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6365.5499 to the nearest integer.\nAnswer: -6366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1611, -5187, -11143, -19473, -30171, -43231?\n\"Answer: u**3 - 1196*u**2 + 5*u - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27980 - -27979.929284. What is v rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11730118, 23460229, 35190340, 46920451, 58650562, 70380673?\n\"Answer: 11730111*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4977403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 3. Let t = i - -8. Suppose -t = 2*v - 3*r, -2*r = -5*v + 2*r - 4. Sort -4, v, -3 in descending order.\nAnswer: v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 9787110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hamhhthttwh. What is prob of sequence tt?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a. Let y(l) be the third derivative of -l**7\/280 + 7*l**4\/24 - 13*l**2. Let s(g) be the second derivative of y(g). Calculate s(w(u)).\nAnswer: -81*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(((sqrt(252)*4 - sqrt(252) - sqrt(252))\/sqrt(4))\/(sqrt(45)\/(sqrt(5) - sqrt(5)*-3) + sqrt(9)))**2.\nAnswer: -1792\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 10*l - 10. Let t be j(3). Suppose t*h - 64 = -h - 4*m, -4*m + 96 = 5*h. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 + 61. Let f = -2.5 + 3. Let z = f - 0. What is the second biggest value in z, -2, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/1345?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p - 4. Let h be c(4). Let k = h - 10. Solve 5*w - 5*z = k, -w = -2*z - 1 - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (64 - 26 - 17 - 97)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, j: 1, d: 2, c: 1, i: 3}. What is prob of sequence bjc?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (6\/(-2))\/(-6) - 7448\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18497 + -18502. Which is the smallest value? (a) 4\/5 (b) n (c) 2.4 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) 6\/5 (b) 2\/3 (c) 0.3 (d) -9852\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*y**2 - 6*y**2 + 4*y**2)*(-y + 0 + 0) to h + i*y**3 + f*y**2 + u*y and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*w - 15. Let f be 1 + w\/((-8)\/(-4)). Solve f*s + 9 - 1 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -7*w + 15, 2*z - 2415*w = -2413*w - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 2*d**2 + 8 + 3*d**3 - 6 + d**4 - 2 to the form v*d**3 + h*d**4 + a*d**2 + n*d + r and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 6*c - 3. Let w be g(4). Let b = 6 + w. Let u = 3 - 7. What is the biggest value in -1\/7, u, b?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -3. Suppose 0 = 2*j - 5*l, 3*j = -2*j + y*l + 17. Solve 20 + 0 = j*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-14))\/f*f*f**20)**(-1\/6) assuming f is positive.\nAnswer: f**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45345 is divided by 15111?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 200257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.6251 to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (2 + -1) - -12. Let y be (1 + 1)\/(k\/(-21)). Let z = -3 + y. Let m(d) = d**2 + 5*d - 7. Determine m(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = 4*k + 67 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zij when three letters picked without replacement from {j: 2, o: 4, z: 2, r: 2, s: 3, i: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 314123422?\nAnswer: 314123424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2. Let m(p) = 3*p - 4. Let g(b) = b + 2*b + 4*b - 1 - 6*b. Let u(s) = -12*g(s) + 3*m(s). Calculate u(x(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*c**2 + 83*c**2 - 12*c - 8*c)*(0*c + 0*c - c**2)*(-2 - 2 + 6)*(-4*c + 4 - 4).\nAnswer: -16*c**5 - 160*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-7) + 6\/14. Suppose y = -4*u + u - 12. Let r = -13 + 11. What is the closest to r in -1\/2, u, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 89*k**3 - 2*k + 3*k**2 - 2*k + 2 + k - 1. What is the remainder when o(1) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -150.5 (c) -2 (d) -5 (e) 2\/5 (f) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2033165*k**3 - 109*k**2 - 25*k + 23.\nAnswer: 12198990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 4:15 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 439 + -4100?\nAnswer: -3cc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0627 minus -0.3?\nAnswer: 0.2373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 20 = 2*i + 5*f, 3*i + f - 4 = 0. Suppose i*c + 36*c = 396. Let l(w) = -w**3 + 12*w**2 - 11*w - 10. Determine l(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + w + 1. Let n be d(-6). Suppose 32*m = n*m - 3. What is the third smallest value in -2, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**3 + 1116159*s**2 - 103857188409*s + 7368234893253 = 0.\nAnswer: 71, 185991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -28, -12, 40, 140?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 161 - 81. Let h be r\/(-30) + (-1)\/3. Put -2, h, -4 in increasing order.\nAnswer: -4, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9438891, 18877804, 28316717, 37755630, 47194543?\nAnswer: 56633456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 60347, 60337, 60325, 60311?\n\"Answer: -p**2 - 7*p + 60355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/17 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4 + 133*u**3 - 269*u**2 + 135*u = 0.\nAnswer: -135, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 89774.29 meters?\nAnswer: 89774290000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 0.4, 0.5 in descending order.\nAnswer: 0.5, 0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 386*b**2 + 4489*b - 377. Determine h(374).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**6\/150 - c**5\/15 + 4*c**4\/15 - 8*c**3\/15 - 11*c**2. Solve p(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38253263 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + c - 12. Let w be o(3). Suppose -12 = -2*g - 4*p, -3*g + p = -w*g + 3. Solve 4*n + 0*n + 6 = -5*z, 3*n - 3*z + 18 = g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(18\/8)\/9*-40?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -4\/3*o**4 + 0 - 1\/3*o**5 + 0*o - 8\/3*o**3 - 92*o**2 - 1\/30*o**6. Factor x(l).\nAnswer: -4*(l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7. Let d be (-2 + t)*11\/(-2). Suppose -15 = q - 3*j, -2*q + 4 + d = 3*j. Solve -2*w + q*w = -10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 + 2 + 0 - (99 + -108). Sort j, 40, 11, -3 in descending order.\nAnswer: 40, 11, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(51\/102)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - o - 3. Let t = 2 + -5. Is q(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**4\/12 + 2*d**3 + 7*d**2\/2 - 499*d. Give b(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.19 - 0.19. Let o = -7 + y. Let w = -10 - -10. Which is the nearest to w? (a) o (b) -0.5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 0*o + 1\/2*o**4 + 0*o**2 - 53 + 2\/25*o**5 + 8\/15*o**3. Solve a(z) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 987127427 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -376*j - 27527. What is d(-60)?\nAnswer: -4967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -154 * 70.\nAnswer: -10780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z**4 + 0*z)*(-2*z + 2*z + 3*z) + (4*z**3 + 8*z**3 - 3*z**3)*(2*z**2 - 2*z**2 + 4*z**2) + 6*z**5 - 13*z**4 + 13*z**4.\nAnswer: 51*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**2)\/d*d)\/d)**(-9\/5) assuming d is positive.\nAnswer: d**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 3*m - 8. Let w = 9 + 1. Suppose 7*d = 2*d - 20, 5*y = -5*d + w. Let h be c(y). What is the highest common divisor of 20 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*u**2 - 167*u**2 - 264*u**2.\nAnswer: -293*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0437 + 5.0437. What is the third smallest value in -2\/7, l, 0.02?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 478*k**2\/3 + 1530074*k\/3 - 4268 = 0?\nAnswer: -3201, 2\/239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -23 * -0.09\nAnswer: 2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 108)*(5 + (-63)\/12).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 170 - 145. Solve 0 = 5*f - 5*p - q, -6 = p - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 + -3b?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242828 = 1935*j + 556*j + 1080*j for j.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 236 or -217?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/11 and ((-26)\/(-8) + -4)\/((-15)\/234).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3012 and 8658998?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21012220 (base 3) to base 8\nAnswer: 12216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 130918 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2388 is divided by 1186.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253 = 100*v - k + 24, -11 = -4*v + k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (5 - 2)\/(-3). Solve 4*v = -2*b - 18, 0 = -5*b + v - d*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 25 (b) 2 (c) -1\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-36 - -160) + -23)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 498.6213 meters in nanometers?\nAnswer: 498621300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 372, 798, 1238, 1698, 2184?\n\"Answer: i**3 + i**2 + 416*i - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(637) - (-3 + 1 + sqrt(637)) - sqrt(637)) + sqrt(637))**2 - (3 + 0 + sqrt(637))) + 4 + 5*(-2*((sqrt(637) + -2 + sqrt(637))**2 + sqrt(637)) + 2).\nAnswer: -25505 + 483*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -179*m**3*z - 4*m**3 + 2*m**2*z - 507*m*z wrt m?\nAnswer: -1074*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.865 and 223523.\nAnswer: 223523.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85678000.\nAnswer: 2, 5, 42839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**8\/420 + i**6\/120 - 2*i**3\/3 - 3*i. Let p(g) be the second derivative of q(g). Find the third derivative of p(b) wrt b.\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, y: 1, d: 2}. Give prob of picking 1 y, 1 o, and 1 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19876, 39751, 59626?\n\"Answer: 19875*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**4\/8 - 5*l**2. Let t(d) = -7*d. Give m(t(x)).\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -2007?\nAnswer: -200a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 6:26 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) - ((sqrt(448) - ((sqrt(448) - (sqrt(448) - (sqrt(448) + 2)*2)) + sqrt(448))) + sqrt(448))**2.\nAnswer: -464 - 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -35*p + 40*p - 4, -3*p = -2*t. Suppose -10*y + t*w + 902 = -9*y, 3*w = -y + 896. What are the prime factors of y?\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 1 (c) -0.4 (d) -4\/7 (e) -20.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/11 and 89\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/12 and -167\/570.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 93*y**2 - 776*y - 25. Calculate n(9).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8559 + -4997. Let f = -7893 - -5472. Let u = f + a. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-930)\/(-40)*(896\/144)\/14?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 10*p**2 + 13*p - 7. Let j be v(-7). Let m = j - 5. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o - 99 = -18 - 801 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*c, -3*f - 5*c + 420 - 455 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 777308, 776966, 776624, 776282?\nAnswer: 775940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.949 + 327.429. Let b = i - 303.4742. Let l = b + -8. What is l rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47 + -848b3?\nAnswer: -8493a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4048082516.\nAnswer: 2, 103, 9825443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144485?\nAnswer: 5, 11, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1269 is divided by 128?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*2)\/sqrt(12)*-6 - -4*(3 + (sqrt(7) - (sqrt(7) + 1)) + sqrt(7)))**2.\nAnswer: -128*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14\/3, -0.2, -44\/5, 26, 3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 7837, -7, 0, 4.\nAnswer: -7, -5, -3, 0, 4, 7837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/212, -221, -0.0505?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-6 - (-10 + -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*m - 19*m**2 + 39*m**2 + 0*m - 18*m**2 + 60*m - 207*m.\nAnswer: 2*m**2 - 297*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/4 or 93?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k + 30 = 0. Suppose 14*s - 16*s - 2*m = -6, 4*m = s + 2. Factor -k*p**2 + 16 - 19*p**2 + 4*p**3 + 22*p**s.\nAnswer: 4*(p - 2)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 800 = 138*q - 8032. What is the greatest common factor of 14528 and q?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 20*i - 30*i. Calculate the greatest common divisor of i and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099 is divided by 374.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/5)\/(4\/(-2520)*-3) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**4\/8 - 17*k**3\/6 - k**2 - 43*k. Determine u(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 6:12 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 1 - 3*i**2 - 2*i + 9*i**2. Suppose 3*k - 63 = 2*x, -22 = -k + 5*x + 12. Suppose 6*f - 2*f - k = -3*b, 23 = 3*b + 5*f. Determine s(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1180 and -11\/40.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*(-21)\/84?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(10) + (sqrt(90) + sqrt(10))*-3).\nAnswer: -sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -165 + b5?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7))**(9\/8)*q**(-8)*q*q**(-10))**31 assuming q is positive.\nAnswer: q**(-15035\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 158*m**2 + 580*m - 3663. Calculate f(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 7:13 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n + 3. Determine m(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 222013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*c - 23996, 3*d = 7*d + 2*c - 23998. What is d rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -3*g - 76. Which is the nearest to g? (a) 0.2 (b) -0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 15*d**2 - 28*d - 13. Let c be s(-13). Let h = c + -16. Is (-4)\/(-12)*h + 218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1392*x - 133 + 2045*x**4 - 137 + 272 wrt x?\nAnswer: 24540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 3*f**2 - f + 3. Let h be b(3). Suppose h = x + x - 44. Let o = -14 + x. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79150 by 1583.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 41*l + 52. Let c(s) = 3*s + 12. Let k(r) = -2*r - 2*r + 2*r + 35 + 10*r. What is l*k(z) - 11*c(z)?\nAnswer: -z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4538, 6896, 9254, 11612, 13970?\n\"Answer: 2358*g + 2180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4667459 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 16*m**3 + 4*m**2 + 2*m + 3. Let y(h) = -17*h**3 - 5*h**2 - 3*h - 3. Let k(p) = 6*g(p) + 5*y(p). What is the remainder when k(2) is divided by 46?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 60.437 milligrams?\nAnswer: 0.060437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (4 - 15) - -11) + -80 + 2?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/162 and -3\/724.\nAnswer: 58644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/23, -0.3, -14742, -1, -0.4, 1, 3\/8?\nAnswer: -14742","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - ((sqrt(209)*1)\/sqrt(11))**2) + (-2 + sqrt(684))**2.\nAnswer: -23*sqrt(19) + 669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**4\/12 - 11*l**3\/6 + 7*l**2 - 27*l. Determine y(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*sqrt(63)*6 - sqrt(63)))\/(sqrt(27)\/((sqrt(363)*-2 - sqrt(363)) + sqrt(363) + sqrt(363) - sqrt(3) - sqrt(3))).\nAnswer: 91*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5748 not equal to 8032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62405*m = -62471*m + 1254 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045955?\nAnswer: 5, 53, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/((-2)\/6). Suppose 0 = 12*k - 13*k + 7. Let y = k - p. Solve -5*i - y = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 - 1\/2. Suppose 3*g + 1352 = q - g, -3*q + 3*g + 4029 = x. Suppose -3*o + q = -5*o. What is o rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33450604 to the nearest integer?\nAnswer: 5784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/12 and 2 + 85\/12 + (5 - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*w**2 - 3 - 993*w**4 + 976*w**4 + 3 - 3 to the form n*w + a*w**2 + t*w**4 + r*w**3 + m and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 2. Let w be v(-1). Let c be (-2)\/(15 + w)*3. Are -1 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c + 20*c - 41*c + 28766*c**2.\nAnswer: 28766*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*x - 26*x**3 - x**4 - 2*x**4 + 1 + 4*x + 35*x**3 wrt x.\nAnswer: -36*x**2 + 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*s + 3*r - 19 = -166*s, -4*s + 5*r + 195 = 0. Solve -s*j = -102*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 9*h + 114720000 = 0. What is h rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 4*f**2 - 12*f + 2. Let w be m(6). Solve -2*q + 3*g + 27 = q, -w*g = 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -14228002)*-2*(-5)\/2. Round t to the nearest 1000000.\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {z: 1, x: 1, t: 2, c: 9, h: 7}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20039328 and 3672?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h - 1. Let u = 5 + -2. Suppose -n + 4*n + u = 0. Let a be z(n). Calculate the greatest common divisor of a and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*(sqrt(76) - sqrt(76)*4) + (3*(sqrt(76) + -4) - sqrt(76)) + 4))**2*-2.\nAnswer: -396504 + 9792*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 7*u - 3*u**2 - u - 6. Let g be (-1)\/((-3)\/(-12)) + -2. What is the units digit of w(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/180)\/(-1)*(-8)\/(-10)*915\/(-122).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2668, 1470, -510, -3266, -6792?\nAnswer: -11082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 - -261 - (-1 - 12 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 70 + e?\nAnswer: 7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 273566572 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + i - 1. Let l be d(1). Let y(f) = 4*f - 3. Suppose -4*x = -9*x + 10. Let k(j) = 16*j - 12. Let a(w) = x*k(w) - 9*y(w). Calculate a(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 b when four letters picked without replacement from xbbxxumxbxxmbxrx.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 27*z**6\/40 - 99*z**5\/40 + 19*z**4\/12 - z**3\/3 - 357*z. Solve c(x) = 0 for x.\nAnswer: 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 2. Suppose 0*x = a*x - 15. Suppose l = y + 3*y - 21, -x*y = 4*l - 11. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.6 and -5507.8.\nAnswer: -91429.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 9*a**2 - 10*a + 19. Let v be r(-10). Solve -5*f + 10 + v = 3*w, -f + 13 = 3*w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, -1\/4, 4, -0.111, 80, 1?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.064 - -46.936. Let w = t + -47.00000164. What is w rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 5 + 3*t**3 - 1 + (-3*t + 57 - 57)*(-52*t**2 - 63*t**2 + 108*t**2).\nAnswer: 24*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4 - 3. Calculate the least common multiple of -4 - (-3 + 5 + -14) and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*w + 70*w + 720015 + 278451. Does 37 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11079031463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52.11293 - -0.10293. What is x rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 4 (c) 2 (d) 0 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + 24. What is the remainder when h is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m - 39*m - 3*m + (-3 + 1 + 0)*(-3*m + 0*m + m) as f + i*m and give i.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 99?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2499 and 1309?\nAnswer: 27489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i**3 - 111797*i**2\/6 - 143393*i\/6 - 17689\/3 = 0. What is i?\nAnswer: -1862, -19\/20, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 210*w**2. Let g(z) = 44*z - 56. Let h(f) = -f + 1. Let p(r) = -g(r) - 56*h(r). Determine d(p(u)).\nAnswer: 30240*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/7)*f**2)\/(f\/f**1)**(-3\/46) assuming f is positive.\nAnswer: f**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = 0, -6*c = 3*q - c - 226. Suppose 0*s + q = 5*f + 4*s, -4*s + 12 = 0. Find the common denominator of (20\/54)\/(f\/(-261)) and 83\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-12\/13))**15\/(w\/(w*w*w**(-13))*w)**(1\/14))**13 assuming w is positive.\nAnswer: w**(-2689\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 - 6*s + 7. Let p be t(1). What is the closest to -1 in -2\/21, p, 0.2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.093 - -4.0929471. What is q rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 192\/20957 or 0?\nAnswer: 192\/20957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*b = 19758, 5*g + 621*b - 618*b = 98825. Round g to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than 5364856?\nAnswer: 5364850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - 1. Let r(q) = 2*q - 1. Let c(g) = -g**2 - 6*g - 5. Let j be c(-4). Give j*w(o) - 2*r(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 7. Calculate the remainder when 17 is divided by 9 + (y - 0)\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknunhli. Give prob of picking 1 l and 1 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.66179644 to 3 decimal places.\nAnswer: -1.662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 0*r - 2*l + 12, 2*r + 2 = 2*l. Let u(n) = 3*n + 5. Let p be u(r). Let t = 14 + p. Solve 2*d = b + 8, -2*b = 3*d - 15 - t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.96 + -0.04. Let z = 12 + h. Let l be -2*4\/(-24)*3. What is the closest to 1 in -2\/9, l, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2995.05 + 2994.7499996. Let s = o + 0.3. Round s to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2 + 11*z + 44. Calculate the least common multiple of f(-4) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 500 and 13720.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*d + 397066 = 6*d, 397056 = 2*f - d. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80895154 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-156)\/27) + (20\/(-150))\/(28\/70).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + (sqrt(147) + 0 + 5 + -3 + 1 + sqrt(147))**2 + -1)*-3.\nAnswer: -1779 - 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2427 at least -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {g: 2, l: 2, f: 1, k: 1, a: 1, h: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 73.4 (b) 1 (c) 32 (d) -0.4 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(w*w**2)))**(-7\/5)\/(w*w*w*w*(w*w\/(w*w\/(w*w**(2\/9)\/w)))\/w)**(-7\/4) assuming w is positive.\nAnswer: w**(511\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -166580*b**4 + 13*b**2 + 9*b - 26 wrt b?\nAnswer: -3997920*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36 - 31 - (-22 - -1). Solve -5*s**2 + 0*s**2 - t*s + 4*s - 11*s - 7*s = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 65 + 69 = 5*v, 4*v = -3*r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k = -100. Let b = -12 - k. Suppose -4*d = b*x - 3*x + 10800005, 5*x = 5*d + 13499995. Round d to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.05, 3, 0, 2\/41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27712, -27711, -27710, -27709?\nAnswer: -27708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022702 to four decimal places.\nAnswer: -0.0227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4262, -4634, -5246, -6098?\n\"Answer: -120*r**2 - 12*r - 4130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9145000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 18*f**2 + 17*f - 1. Suppose 5*u + n - 64 = 22, -30 = -2*u + 4*n. Let w be r(u). Do -9\/4 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -928*-3\nAnswer: 2784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*z - 101*z - 19*z - 164*z + 31*z in the form i*z + s and give i.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -242 - 114. List the prime factors of c\/3*(-15)\/10.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1384, 5557, 12506, 22225, 34708?\nAnswer: 49949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 3)\/(-1) - 5. Let h = 2 - p. Let a be (-4)\/((-14)\/h + 1). Solve -5 = -a*l + m, 5*l - 2*l - 9 = 3*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.9925773 kilometers?\nAnswer: 99257.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 11:17 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of -584*(49\/28 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5008, 18839, 41934, 74323, 116036?\nAnswer: 167103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 1 + 3 + (62 - 20) + 128\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7334174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -56, -108, -178, -266, -372, -496?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2*l - 6 = 0, 5*h + 2*l - 59 + 53 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 553.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (234\/585)\/(4\/70). Solve -15 = -3*v + j, 3*j = v + s*j + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 2:37 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*d - 11 = 0, 4*o - 4*d + 41 = d. Does 69 divide (-3)\/(o\/(-4856)*-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-50)\/315*12\/(-20).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1756803?\nAnswer: 3, 585601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.28? (a) 0.1 (b) 0.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oammaoimaz. What is prob of sequence miz?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -417*j**2 + 30924*j - 4890. Give t(74).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -158805 (base 11) to base 6\nAnswer: -5134153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104343 is divided by 485.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11546 = -3*f + 64423. Let y = f + -13580. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 + 26 - 26 + 2*v + (v + v + 0*v)*(2*v**3 - v**3 - 6*v**3) as t*v**4 + o + x*v + p*v**2 + h*v**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 38 = -8. Let z be m\/(-40) + (-334)\/(-16). What is the tens digit of (32\/(-6))\/(62\/z + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 368 and -0.04.\nAnswer: -14.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43895960?\nAnswer: 2, 5, 23, 47713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*5*(2 + sqrt(1573) - sqrt(1573)) + -3*(sqrt(13)*-2 + -2 + 5)**2).\nAnswer: -1458 + 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 10:16 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52860 - 29464. Suppose 0 = 3*t + 4*i + u, -4*i = 6*t - 2*t + 31196. Round t to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 2*n**2 - 22 + 30*n**2.\nAnswer: 28*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 4*b + 1, -7709*v + 7712*v + 2*b = 59 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w - 3*w + 0*w - w + w + 2*w + w + 2*w - 2*w + (5 - 1 - 3)*(18*w - 60*w + 24*w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 9139508?\nAnswer: -91394bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-6 + 15) - 1*7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*a**2 - 54*a**2 + 283*a**2 + 479*a**2.\nAnswer: 605*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/162)\/(-13)*(-4290)\/(-286)?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.051 and -14238.\nAnswer: -14238.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2700 + -2699. Let r be (5\/(-4))\/((-1)\/(-4)). Let t = r - z. Let y(x) = x + 1. Determine y(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-8)\/14 - (-228)\/448). Sort -3, p, 4, 1 in decreasing order.\nAnswer: 4, 1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 7. Let b = -12 - -16. Let t(p) = -p**3 + 1 + b*p**2 + 0 - 17*p + 13*p + 0*p**2. Determine t(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 74\/(-9) + 50\/225. Let t be (o - -2 - -6)\/(-2). Solve -4*j = -t*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 182*a - 8 = 167*a + 2*d, -3*d = -2*a - 0 + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -0.2 (b) -0.4 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6199 + 1.0199. Which is the second biggest value? (a) 1 (b) 16\/7 (c) u (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 0*r - 17 + 1\/3*r**3 + 0*r**2. Let p(y) = 8*y**2. Calculate p(t(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 647581*n + 644376?\nAnswer: 647581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-2))\/1*(-1)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 72 = 4*a. Let r = 25 - a. Calculate the least common multiple of r and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1404.5 in 13, 0, 0.4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**3 + 17*m**2 + 15*m - 15. Determine n(6).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 267 = -3*a, o + 822 - 541 = 3*a. What is the smallest common multiple of a and 108?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2098846703.\nAnswer: 41, 61, 839203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-9720)\/(-189))\/180)\/(5\/(-7)))\/((-4)\/(-470))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 216802 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0856 minus -55055.401664?\nAnswer: 55055.316064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29511, 117289, 263605, 468459, 731851, 1053781, 1434249?\nAnswer: 1873255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(6\/4 + (-171)\/18). Suppose 0 = 12*s - b*s - 144. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**3 - 36*l**2 - 96*l - 80 = 0. Calculate l.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/30*3*10. Suppose 0 = r*g + 4 - 8. What is the remainder when 1 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11692, 23367, 35042, 46717?\nAnswer: 58392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 316805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/sqrt(5) + sqrt(5))**2 - sqrt(320)*-1 - ((sqrt(20) + sqrt(500) + sqrt(20))\/sqrt(4) - (-1 + sqrt(15)\/sqrt(3)))) + -5.\nAnswer: 2*sqrt(5) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2\/319, -35, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5106.1 - 5106. Let i = -3632\/7 - -518. Which is the third smallest value? (a) 3 (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*j - 4*k, -119*k + 124*k = 4*j + 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 + 59 = 3*j. Calculate the common denominator of -41 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -392 + 68. Let c(l) = -14*l**2 - 17*l + 101. Let y be c(4). Let j = y - t. What are the prime factors of j?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 160, 137, 82, -23, -196, -455?\n\"Answer: -3*h**3 + 2*h**2 - 8*h + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6)*18\/4. Let g(x) = x**3 - 2*x**2 - x. Let r be g(n). Find the third derivative of -t**r + 6*t**2 - 3*t**6 - t**6 wrt t.\nAnswer: -600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/5 + 273*o**4 - 111268*o**3\/5 + 104448*o**2\/5 + 445088*o\/5 - 439632\/5 = 0. Calculate o.\nAnswer: -2, 1, 2, 86, 1278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -13 - (0 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**3 - 80*l**2 - 6*l + 59. Is k(30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - 21. Let t = f + -15. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - z**2 - z. Let d(i) = i**3. Let g be d(-1). Let j(p) be the second derivative of -p**5\/4 + p**4\/6 + 2*p**3\/3 + 29*p. Give g*j(v) - 4*w(v).\nAnswer: v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 16 = -5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 4. Let u(n) = -8*n - 16. Let m(h) = -9*p(h) - 2*u(h). Let y be m(-2). Which is the closest to 0? (a) -2 (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 32 = 5*o, 4*a + o + 2*o - 13 = 0. Suppose -2*d - a = -n, 5*n - 7*d + 2*d - 35 = 0. Is -1*2 - (-70)\/n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -22*i + 12*i + 30*i. Suppose -4 = d - c, 15 = -d + 3*c + 5. Let n = d - -1. Put -2, n, i in descending order.\nAnswer: i, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1671 plus 0.38?\nAnswer: -0.7871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46639738 to the nearest integer?\nAnswer: 6829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-5) - -2 - (-170)\/25. Sort 4, -12, c in decreasing order.\nAnswer: c, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-7))\/(z**9\/z))\/((z**(-1\/3)*z)\/(z*(z**(-6\/11)*z)\/z*z*z)) assuming z is positive.\nAnswer: z**(-403\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 17 = 19. Let h(p) = -p + 5. Determine h(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 + 9*z**3 + 333 - 6*z**3 + 4*z - 333.\nAnswer: -4*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 210611 + -210611. Let w be 3\/(-18)*4\/7. What is the nearest to 0.1 in w, i, 0.08, -0.5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 15*j + 10. Suppose 2 = 3*n - 13. Let d be v(n). Is d <= 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338238469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.417 less than 1.0908?\nAnswer: 3.5078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1441655?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6074 + -4. Suppose -3*l + m = -62930. What is l rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 10 + 30. Let v be (1\/4)\/(1218\/(-882) + (-4)\/(-3)). Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/5 + 12*b**2\/5 + 604*b\/5 + 1152\/5.\nAnswer: -(b - 32)*(b + 2)*(b + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 3:39 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**6\/105 + 3*a**5\/35 + 2*a**4\/7 + 10*a**3\/21 + 3*a**2\/7 - 23*a. What is o in p(o) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**2 + 68*w - 27. Give h(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2339572898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5995 + 5995.3. Which is the closest to -0.2? (a) 2\/7 (b) 1\/2 (c) -3\/7 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 - 32*b**2 + 6*b + 95. Is t(20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5014501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17408683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 3*s**2 - 11*s - 37. Determine z(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*1\/3*-1. Let l be (-2910)\/(-33) - 9\/((-297)\/(-6)). Let v = 88 - l. Solve 3*s - 3*i = w, v*i - 3 = 4*s - i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 530, 1205, 2150, 3365?\nAnswer: 4850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 less than -2944756010?\nAnswer: -2944756009.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81741\/5 - 1059953\/65. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188210 by 295.\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4684 + 51534\/11. What is the fourth smallest value in q, 2\/9, 0.4, -1\/5, -13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/36)\/((-5)\/((-1350)\/5)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1581)\/(-34)*2\/34. Let j = 4\/17 - a. What is the closest to -1 in j, 2\/11, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + (-4 - (1 - 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11673 - -11675. Put 22, y, -14\/5, 5 in descending order.\nAnswer: 22, 5, y, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -7.1?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38\/6 + (-2)\/(-3). Let r(g) be the first derivative of g**3\/3 - 10*g**2 - 96*g - 622. Let o be r(-4). Solve o = -2*n + j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**3 - 6*s**2 - 6*s + 6. Let g(v) be the first derivative of 1\/2*v**2 - v - 1\/4*v**4 - 11 + 1\/3*v**3. Suppose 3*i = 2*i - 6. Give i*g(l) - b(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -9. Suppose -a + u = 2*a. Suppose 4*r - a*r - 166 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 16*k**2 + 260*k.\nAnswer: -k*(k - 10)*(k + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1250 + -773. Let n = j - 330. Let b = 160.2 - n. What is b rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 56, 5 in descending order.\nAnswer: 56, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17712240 and 4368.\nAnswer: 17712240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/5*y**5 + 2*y**3 + 8\/5*y**2 + 1\/5*y**4 + 0*y = 0. Calculate y.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 45\/2 of a microgram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 + b**2 + b**2 + 3*b - 4*b**2. Let a(d) = -21*d**2 + 13*d. Calculate 2*a(v) - 9*q(v).\nAnswer: 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2141804407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37354, 45099, 52840, 60577?\nAnswer: 68310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 189*s + 6. Let u(b) = -3*b + 2. Determine 2*o(k) - 6*u(k).\nAnswer: -2*k**2 - 360*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from uyjyjyjjmmyhyijj?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 119632817 to the power of 1\/3, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(112))**2*4 + 5 + (sqrt(7) - 2*sqrt(7)).\nAnswer: -sqrt(7) + 458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 9:29 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 127329 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*t = -69, -4*a + 0*a + t + 58 = 0. Suppose -a = 3*z, -2*n - 2*z = -z + 81. Is -38 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1019691680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -1\/140*u**5 - 6*u**2 + 2\/7*u**4 + 0*u - 1\/70*u**6 + 0 + 2\/7*u**3. What is b in x(b) = 0?\nAnswer: -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-1) - (1 - -2). Let m = d + -11. Let j(u) = -u + 1. Calculate j(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 67446, 67445, 67444, 67443, 67442, 67441?\n\"Answer: -d + 67447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -1 - (-40 + 33 + 24) - (12 - 82).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 186918, 186923, 186928, 186933?\n\"Answer: 5*g + 186913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0*c**5 + 0*c + 0 + 0*c**3 - 1\/14*c**8 + 0*c**7 + 0*c**6 + 19\/24*c**4 - 16*c**2. What is the second derivative of g(r) wrt r?\nAnswer: -480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569476 is divided by 12378?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -26)\/2 - 0. Let p be (-3 - v) + (-1)\/(-1). Let w = -11 - p. Solve -26 = 4*r - a - 4*a, -w = 3*r + 4*a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113 (base 8) in base 5?\nAnswer: -4322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*j**4 - 2\/5*j**2 + 4\/5*j - 4\/5*j**3 + 0.\nAnswer: 2*j*(j - 2)*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1407461 is divided by 2592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21008 = s + 5*s - 12376. List the prime factors of s.\nAnswer: 2, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-seven halves of a millennium?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120 - 126 + 31756*j**3 - 31773*j**3 + 246.\nAnswer: -17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((78\/60)\/(-13))\/((-1)\/12)*3400\/(-1360).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49513 is divided by 16490?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3615621 and 4.30656.\nAnswer: 3.9449979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 + 113. Calculate the common denominator of ((-171)\/(-16))\/((a\/4)\/3) and 58\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.68780703 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 21, -7 in decreasing order.\nAnswer: 21, -7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -831\/22 - -35. Let t = 2189\/2 - 1050. Calculate the common denominator of t and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -61.\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/14 - (-15)\/6. What is the second derivative of -3*a - 2*a - 9*a + a**d + 7*a**2 wrt a?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20658.\nAnswer: 2, 3, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28868.96 weeks?\nAnswer: 290999116.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 6*n**2 - 9*n - 25. List the prime factors of l(-15).\nAnswer: 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (104\/(-29964))\/((-4)\/(-4647)). Let r = i - 3\/227. What is the common denominator of -103\/120 and r?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**2 + 101*g - 324. Does 152 divide f(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635642837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 10 (c) -2 (d) 1289\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-448)\/(-3024)*15\/20?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 10711 = 2*y + 335, 3*y = 3*h - 8280. Let u = h + -2. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004827768203 rounded to five dps?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(85)\/sqrt(5)*-1) - (sqrt(68)*-5 - (sqrt(612) + 2)))**2.\nAnswer: 56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5278 (base 10) in base 6?\nAnswer: -40234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-1) - 0\/6. Let z = -5 + y. Let a be ((-2 - -2) + 1)*z. Calculate the greatest common factor of a and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1747 divide 2059225587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.0625 (c) 0.1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345557 = -2084*v - 9063*v for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 224020032?\nAnswer: 224020041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 3, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11739.\nAnswer: 3, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 15321*z - 90880. Give p(6).\nAnswer: 1046","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94 - 91. Let z(x) = -2*x - 1. Let j be z(-2). Solve -u + i = -3*o, 6 = 2*u - j*o - 0*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1301.19 times -1.79\nAnswer: 2329.1301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 253 + 25*z - 512 + 259 in the form p*z + r and give p.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14516777 to the power of 1\/2, to the nearest integer?\nAnswer: 3810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + v, 0 = c - 0*c - 3*v + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -424072 by 488.\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**4\/3 + q**3\/3 - 3*q**2\/2 - 3*q. What is the tens digit of s(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(80)\/sqrt(2))\/((2*sqrt(24))\/sqrt(12) + -5*sqrt(2)*2).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 1:21 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.019?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 199199*h - 995988. Calculate m(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - 20*a + 14. Let h(b) = 5*b**2 + 39*b - 29. Let x(o) = -3*h(o) - 7*t(o). What are the prime factors of x(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 12, g: 7}. What is prob of picking 1 g and 3 i?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**5 - 4*a**4 + 58*a**2 - 7*a + 97.\nAnswer: -40*a**3 - 48*a**2 + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15538 divided by -23\nAnswer: 15538\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1451*b**3*r*u**2 + 6316175*b**3*u**4 + 2*b**3*u + 3714*b**2*u**2 + r*u**5 wrt u?\nAnswer: 151588200*b**3*u + 60*r*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 206096.3 years?\nAnswer: 2060.963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*1*6\/2. Let j = -52.67 - 0.33. Let w = j - -53.4. Which is the biggest value? (a) 4 (b) -5 (c) w (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 343 - 351 = 2*v, -3*u + 5*v = 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21911609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**3\/6 - 9*o. Let u(y) = 9*y. What is u(s(n))?\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15281 and 9287.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 447*t - 242*t + 17*t**2 + 10 - t**3 - 235*t. Let v be x(15). Solve -6*p + 14 = -v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/10 - (-120)\/75. Suppose -12 + 3 = -3*h. Suppose h*b = n*b. Is b >= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 15*q + 6. List the prime factors of l(15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 62*o. Let m(i) = -10*i. Give m(u(y)).\nAnswer: -620*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**2 - 4*x + 5. Let n(p) be the third derivative of -3*p**5\/20 - 7*p**4\/24 + 3*p**3\/2 - 97*p**2 - 6. Determine -5*d(b) + 3*n(b).\nAnswer: -2*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -k + 6 - 1, 3 = k + 4*n. Let g = 5 + k. Is g less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191051987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2. Let c(x) = -13*x - 2*x - 4*x + 20*x. Determine c(t(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -46000\nAnswer: -13800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.1 - 13. What is the second biggest value in 0.3, v, -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 361 - -498. Let r = t + 192. What are the prime factors of r?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*l + 6*x = -73*l - 70, 16*x - 200 = 4*l + 38*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 16967000 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/13 - 63450*i**2\/13 + 503713350*i\/13 - 7541430750\/13.\nAnswer: 2*(i - 15855)**2*(i - 15)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -174 - -562. List the prime factors of f.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 26. Let z be g(-8). Solve z*y - 7 = -c, 4*y = -4*c + 19 + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -3, 8\/3, -1\/2, -0.11, 950?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 27 + 625*j + 10 + 6 to c*j + t and give c.\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-14)*84\/(-90)*66\/(-4)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u**2 - u**2 - 2*u**2)*(-2*u - 2*u**2 + 2*u) + 4*u**4 + 3*u - 3*u to the form i*u**3 + g*u**4 + x*u**2 + w*u + t and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1256*i + 138928 - 138928 to n*i + r and give n.\nAnswer: -1256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 658.4026 nanometers?\nAnswer: 0.0000006584026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p**2 + 1243*p + 977. Calculate z(142).\nAnswer: -3993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.43 - -14.43. What is the biggest value in 2\/21, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 12:26 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 13*w**2 + 31*w - 16. Let f be i(15). Let z(t) = 5*t**2 - t - 1. Determine z(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001020022000 (base 3) to base 15\nAnswer: -ae9c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (40\/(-16))\/((-2)\/(-4)). Let q(t) = -8*t + 6. What is the units digit of q(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 12:15 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*w**5 + 18*w + 402*w**3 - 808*w**3 + 404*w**3 wrt w?\nAnswer: -940*w**3 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -12 (b) 6.9 (c) -2\/9 (d) -0.1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**4\/3 + 20*t**3\/3 + 28*t**2\/3 + 4*t = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 6 = -3*f. Suppose -4*g = -f*g - 6. Suppose -50 = -g*p - i, i = p - 21 + 3. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4 + 2*m - 36*m + 6*m + 11*m + 11*m. Let q be (1\/2)\/(2\/(-4)). Let v(z) = -z. Let d(y) = q*f(y) + 5*v(y). Give d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 73 = -67 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20212010010 (base 3) to base 14\nAnswer: -37273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**4*x**(2\/7)*(x**(-12)\/x)**(-39) assuming x is positive.\nAnswer: x**(3579\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 4*t**2 - 4 - 16062*t**3 + 5*t + 0 - 7377*t**3. Let p be s(4). What is p rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*2*6 + 1*-3*sqrt(78))\/((sqrt(96)\/(sqrt(2)*-1))\/(sqrt(24)\/sqrt(3)*1)).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:37 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - f + 42 = 0, 4*f = 6*b - 3*b + 38. Let q be b\/5*(38 - 2). Let t be (-6)\/27 + (-448)\/q. Solve -m - 25 = -t*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**2 - 79344*h = 0.\nAnswer: -19836, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 2*d + 85 = 0. Suppose 0 = -5*m + d - 2. Suppose 0 = m*u + u - 40. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**4 - t**2 + 2*t**4 - 2*t**2 + 15*t**2 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-5 - 1) - (4 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcchcchhhcccc. Give prob of sequence hh.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -7. Let h be -3 + 10 + (a + 8)\/(-2). Solve -3*g + h = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7653677 - 0.1\nAnswer: -7653677.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 374*z**5 + 4*z**3 + 2304*z**2?\nAnswer: 22440*z**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15680 is divided by 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59715716?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*((n\/(n\/(n\/(n\/(n\/((((n*(n*n\/n**(-10))\/n)\/n)\/n)\/n))))))\/n)\/n)\/(n\/n**(-2\/3))**(-2) assuming n is positive.\nAnswer: n**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 129?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/53? (a) -2\/5 (b) 0.04456 (c) 1 (d) 0.4 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let w = 91 - 547\/6. Let u = w - -5\/12. Which is the closest to r? (a) -2\/7 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 227939*c**2*o**2*s + 3*c*o**2*s - 4*c*o*s + 4*c*o + 3*c + 9*o**2 - 2*o*s wrt c?\nAnswer: 455878*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 164066*z**3 - 23793*z**2 wrt z.\nAnswer: 984396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -23*m + 26*m + 111 - 76*m. What is the tens digit of p(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -11. Suppose 4*p + o = 13, 0 = 4*p - 0*p - q*o - 28. Solve 3*k = p*k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342 = 8*x + 30*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 19*v - 21*v + 58976, -5*z + 58978 = v. List the prime factors of z.\nAnswer: 2, 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d + 1. Let l be b(2). Let z(y) = -y**2 - 12*y + 15. Let o be z(l). Find the second derivative of g**o + 9 - g - 9 wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 + 4*n + 3. Let s be a(-2). Suppose 0 = 4*y + o + 1, 5*o = -10 - s. Solve -y - 2 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, 3, 1, -46, -1, -8 in ascending order.\nAnswer: -128, -46, -8, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 17 = -3*i. Suppose 2 + 16 = -i*h. Is h at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z + 2*z - z)*((1 + 3 - 2)*(2 - 2 + 2) - 19 + 11 - 10) + (-2 - 2 + 2)*(0*z + z - 5 + 7) as g + r*z and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.3 (b) -1 (c) 0.4395\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2753 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k**3 + 3*k**2 + 5*k - 7. Let o(n) = 48*n**3 - 24*n**2 - 39*n + 57. Determine 4*o(a) + 33*z(a).\nAnswer: -6*a**3 + 3*a**2 + 9*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 60. Calculate the remainder when 19 is divided by (2 + -1)\/(-2) - 17\/f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 12. Let z = 1 - -8. Let y be p(z). Is (y\/4)\/((-33)\/9218) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0.2, -0.4, 1\/3 in descending order.\nAnswer: 3\/2, 1\/3, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**3\/2 - 11*u. Let i(c) be the second derivative of 0*c**2 + 13*c + 0 - 1\/6*c**3. Calculate w(i(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*c + 262*c - 99*c - 93*c.\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-7\/6)*f*f\/(f*f*f*f*f**(-3\/5)*f*f) assuming f is positive.\nAnswer: f**(-137\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 16*s**2 + s + 20. What is the tens digit of z(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.6 - 5.1. Suppose -9 = -4*s + 3. Let t be (5\/(-15))\/(s\/9). What is the smallest value in l, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 659, 988, 1313, 1634, 1951, 2264?\nAnswer: 2573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 24 = -17*d. What is the tens digit of d*((-2)\/(-1))\/((-4)\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2735 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 937550 rounded to the nearest 1000?\nAnswer: 938000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 1. Let a be u(-3). Let n = 6 - a. Solve -n*m = -5*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 261 - 582 + 275 + 4*p**2 as a + u*p**2 + s*p and give a.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.39 + -14.39. Let g = -13.81 - c. Let z = -0.63 - g. What is z rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6*f. Does 9 divide (f + 54)*(-5)\/(3 - 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 3*f**2 - 7*f - 9. Let n be p(-6). Let a = 182 - 256. Is n at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3, -3\/5, 0.089, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*3 + -1)*139\/695. What is the nearest to -3 in 0, 1\/3, w, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 8:03 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/10)\/((-4)\/(-5)). Let b = -7 + 7.2. What is the closest to o in b, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 162*r**2 + r + 2. Is x(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 + 1512*x**3 - 4554*x**2 + 8*x + 6072.\nAnswer: 2*(x - 2)**2*(x + 1)*(x + 759)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = -k + 321. What is the smallest common multiple of k and 78?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2842 and -0.01?\nAnswer: -28.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -232.58 * 1.8\nAnswer: -418.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1831*v**3 + 42*v**2 - 15*v + 48. Let s(i) = 915*i**3 + 23*i**2 - 8*i + 26. Determine -6*m(k) + 11*s(k).\nAnswer: -921*k**3 + k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 128 + 267147?\nAnswer: 267276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/6*(2 - 6))\/(15\/(-45)). Solve -2 = 4*i - 2*p, -26 = x*i - 5*p - 29 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/439 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -299 - -10. Let h = -289.000185 - p. What is h rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - -9 - (-1624)\/(-29)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 18240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 6. Let z = s - -19. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {f: 2, p: 1, t: 7}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(72)*1 + sqrt(72) + sqrt(72))**2 + -3.\nAnswer: 36*sqrt(2) + 646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5, -6, 0.0651589, 2\/3?\nAnswer: 0.0651589","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 - (24 + -146 + 64).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/(x*(x*x**7)\/x))**(-31) assuming x is positive.\nAnswer: x**217","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 106 + 160 = 0. Let i be (x\/(-81))\/((-8)\/(-36)). Solve 2*o = 0, -13 + i = -4*d + 3*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 34142 (c) -0.2 (d) 3 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 44*o - 235. Let d(n) = -133*n + 718. Let v(g) = 11*c(g) + 4*d(g). Give v(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1714.\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Suppose 4*w - 2*g - 18 = 0, 5 + 1 = 5*w + 3*g. Which is the third smallest value? (a) f (b) -1\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 19*z**2 + 19*z + 17. Let k be (-3 + 26 + -1)*2. Suppose 5*c = k - 14. Calculate the remainder when n(-1) is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.2, -2, 106?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4048458585 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -19*o + 96. Give w(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3)*2*28500. What is t rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 28880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-9) - (-58)\/(-198). Put u, -5, 4 in decreasing order.\nAnswer: 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31921337.7100111 + 31921339. Let x = -1.29 + i. Round x to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-15)\/(-20))\/((-2)\/(-304)).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 5) + (-15 + 16 + 1 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 13*t - 9. Let a(l) = -4*l**2 - 12*l + 8. Let o(u) = 4*a(u) + 5*d(u). What is the units digit of o(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 12:19 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 268, 4 in decreasing order.\nAnswer: 268, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37952 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 43\/4 of a tonne?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/9 (b) -70 (c) 7 (d) 1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -281866, -563743, -845618, -1127491, -1409362?\n\"Answer: i**2 - 281880*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -0.4. Let i = -4.46 - -0.36. Let o = i - -0.1. What is the closest to c in -1\/10, o, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1374840 divided by -50920.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -202 smaller than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = -1987 + 1933 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/18)\/(448\/8).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 848 + -578. Suppose 4*d + 6*x = x + v, 0 = -3*d - 2*x + 206. What is the greatest common factor of d and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -320*g**2 - 192*g**3 - 81 + 3*g**2 - 115*g**2 - 324*g.\nAnswer: -3*(4*g + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f**4 + 8332*f**3 + 304840*f**2 + 2708372*f + 716142 = 0. Calculate f.\nAnswer: -17, -3\/11, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.347 and 783.\nAnswer: 271.701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -519\nAnswer: -155.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 + 48 + 46 - 5586*i - 136 in the form g*i + r and give g.\nAnswer: -5586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130081536 divided by -71552.\nAnswer: -1818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*u + 5*x, 5*x = -20 + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 3*l**2 - 6*l + 7. Suppose 0*i + 4*c - 35 = 3*i, 5*i = 4*c - 45. Calculate s(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1545.8 + -1546. Put 307, 1, t in increasing order.\nAnswer: t, 1, 307","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22713, 22707, 22701, 22695?\nAnswer: 22689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363281158?\nAnswer: 2, 181640579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 7*y + 6. Let z(j) = -2*j**2 - 7*j + 5. Let l(d) = 11*d**2 + 18*d - 13. Let w be l(-2). Give w*x(p) + 6*z(p).\nAnswer: -2*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + 5*x + 3. Suppose 3*n + 21 = -4*z, 2*z - 5*n - 6 = 3. Let k be u(z). Let l = -45 + 75. What is the greatest common factor of k and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15489 + 15489. Let w(d) = d**2 - 7*d + 3. Let m be w(5). Which is the closest to 1\/3? (a) j (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50*-43.693\nAnswer: -2184.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34a4 + 3b7b6?\nAnswer: 38312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 6*y**2 + y. Let x be k(-6). Is 11 a factor of (-485)\/(-15) + (-4)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1304 - 37792\/29. Let i = 313 + -312. Are i and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(104) + sqrt(104) + sqrt(104) + sqrt(104) + 4*sqrt(104)*3)\/((sqrt(8)*-1*3 - sqrt(8)) + (sqrt(200)*-3 - sqrt(200))).\nAnswer: -17*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45226?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 17\/(-4))\/(15\/(-6)). What is the nearest to k in 6\/11, -2\/5, -1?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68)\/sqrt(4)*6)**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 71, -19 in decreasing order.\nAnswer: 71, 3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*j = 362*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*f**5 - 11*f**5 + 11*f**5 + 0*f**5 - 2*f**5 + 4*f**5 + (4 - 4 + 7)*(3*f**2 + 4*f**5 - 3*f**2).\nAnswer: 11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*x**3*y**3 - 31*x**2*y**3 - 2*y**3 + 411*y + 8 wrt x?\nAnswer: 57*x**2*y**3 - 62*x*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/17 - 6614*m - 56220\/17.\nAnswer: 2*(m - 28110)*(2*m + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 - n**3 + 3*n**3)*(0 + 0 + 3*n) + (-n + n**4 + n)*(5 + 3 - 2).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/9 (b) -28\/5 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/((-6)\/(-80)))\/((-2935)\/(-3522)) + -9. Suppose l = 3*l - 6. Solve -l = -3*u - 4*p + 2, u + y = 3*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3118*h**2 + 6 + 6 + 105*h - 10 + 5 + 16*h wrt h.\nAnswer: -6236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31440000 to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4023 is divided by 503?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -2.535613.\nAnswer: -0.2535613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 156554 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - -7 - (-3 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 15 = -11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -400111?\nAnswer: 400101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1304097317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g + 2*g**3 - 26 + 29 + 5*g.\nAnswer: 2*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 4*w**2 + 2*w - 4. Let u be t(-3). Suppose 10*d - 11*d = 7*d - 16. Put u, -0.4, -17, d in decreasing order.\nAnswer: d, -0.4, u, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105452?\nAnswer: 2, 41, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f + 41*f - 2757760 = -23*f. What are the prime factors of f?\nAnswer: 2, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 45*c + 180 = 0, 39*c - 12 = -4*b + 36*c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4565885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15128 and 366.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -291.508 - -291. What is m rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41441337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5728245043 to the nearest integer?\nAnswer: 1789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.187 - 9282483471.91?\nAnswer: -9282483471.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000139322 rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26.15, 140, -4, -2\/177?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80206 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1349\/15 - 448\/5. Factor -1\/3*p**2 + 0*p + m.\nAnswer: -(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4776 (base 10) in base 12?\nAnswer: -2920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Let m = -44 - -59. Solve -m = -0*y + h*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210439426.\nAnswer: 2, 105219713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3\/7*y + 0*y**2 + 0*y**4 - 6\/7*y**3 + 3\/7*y**5 = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3075 (base 8) in base 15?\nAnswer: -717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-801)\/(-63) + ((-8)\/7)\/(-4). Solve 3 = 4*b - x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -135. Let n = -25 + u. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -339, -534, -753, -1002, -1287, -1614?\nAnswer: -1989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 87\/(-9*3\/(-18)). Suppose 0 = 53*l - t*l + 25. Suppose -3*a + 16 = 7. Solve a*n = 2*h - 21, -6*h - 13 = -2*h + l*n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 101 = 75. What is the remainder when t\/(-2)*(3 + -1) is divided by (-5 - -4)*4*(-1 - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143434?\nAnswer: 2, 29, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*2*1*(-1 + 0). What is the second derivative of 3*r + r + 47*r**2 + 68*r**m + 6*r - 46*r**2 wrt r?\nAnswer: 816*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 39\/18 - ((-12)\/(-3) + 2)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 2*u - 4*h - 6, -u - 2*h - 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 9:08 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c**2 + 51*c - 34. Let h be i(-6). Let z(b) = 10*b**2 + 16*b + 10. Let w(x) = 3*x**2 + 5*x + 3. Calculate h*w(l) + 5*z(l).\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23503033 times 0.03?\nAnswer: 705090.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 + 4\/(-14). Let y(f) = -f**2 - f + 17. What are the prime factors of y(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 + 0 = 0, 4*s - 4*u + 36 = 0. Let q(f) = -f**3 - 6*f**2 + 6*f - 8. Determine q(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 9*v**2 + 56*v + 79. Let w be n(-7). Which is bigger: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 537514873 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 82 or 2?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.44 - 109.44. Let c = -107.000000029 - a. What is c rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 517, 4, 5 in ascending order.\nAnswer: 0, 4, 5, 517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -57. Let w be 22\/33*3\/(-78)*(-36)\/(-6). Let v be -2 + -1*(-2 + 1). What is the nearest to v in w, c, 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u + 5. Let o(x) = x - 1. Let k(p) = a(p) + 4*o(p). Let r be k(-4). Suppose -3*l - 26 - 4 = -t, 2*t + r*l - 16 = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 2*s + 27*s**2 - 5*s - 332*s**2.\nAnswer: -305*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12961439 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1300) - sqrt(1300)*-2) + sqrt(1300) + sqrt(1300) - sqrt(13)).\nAnswer: 1 + 49*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 f when three letters picked without replacement from {c: 1, f: 2, w: 1, d: 1, y: 2, m: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s + 27. What is v(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 - 45*g + 3 + 45*g + (-g**4 - 2*g**4 + 4*g**4)*(-2 + 2 + 7*g) - 25*g**5 + 7*g**5 + 5*g**5.\nAnswer: -5*g**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -85.7 - 0.3\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (23 - -19) + -74?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -442 times 0.4?\nAnswer: -176.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 129*a - 4*a**4 - 2*a**4 + 21*a**2 - 3*a**3 - 141*a. Let o(c) = 19*c**4 + 10*c**3 - 64*c**2 + 35*c. Let p(w) = -6*o(w) - 17*z(w). Factor p(k).\nAnswer: -3*k*(k - 1)*(k + 2)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2432*f. Let k(n) = 4*n. Calculate x(k(w)).\nAnswer: 9728*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -92929270962\nAnswer: 92929270958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - -4 - (75 - -9)\/(-12). Let k(q) = q**2 - 23*q + 99. Determine k(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -800 - 2*s + 30*s**2 + 800 - 6*s**2. Let n(x) = -2*x + 8. Calculate q(n(r)).\nAnswer: 96*r**2 - 764*r + 1520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/120 and -59\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**2 - 3*t**2 + 3*t**2)*(124998*t - 124998*t - 3*t**2 + 8) to the form w*t**2 + q*t**3 + p*t + b*t**4 + m and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 > 268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016566813 rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -503, -1005, -1507?\n\"Answer: -502*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6*n - n = -n. Solve n = -i - 0*i - 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 7:46 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -9*u - 129. Let l be ((-828)\/(-345))\/(3\/(-20)). Let w(z) = 29*z**3 + z**2. What is the least common multiple of w(1) and p(l)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-5))\/((-7)\/(-840)). Let v = -6 - -12. Calculate the greatest common divisor of v and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 17*c + 36. Let m be g(16). Suppose 0 = 8*v - 3*v - m. Solve 0 = -f - v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a685 (base 11) to base 9.\nAnswer: -21338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 17\/4 of a millisecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = v - 4*y, 19*y - 638 + 729 = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*f**6 - 2575*f + 2575*f + 17*f**2 wrt f.\nAnswer: -5040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 1:06 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/4*150\/(-315). What is the third smallest value in w, -2\/3, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*f + 242912*f**2 + 82*f - 689877*f**2 - 149*f.\nAnswer: -446965*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1633533 and 2.86.\nAnswer: 4671904.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3060*g**3 - 24847205*g**2 + 50439856600*g - 82418000 = 0?\nAnswer: 1\/612, 4060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 17*a - 19. Let q be (8 - 11)*16\/(-3). Let l be n(q). Let y = -0.4 + 0.3. What is the nearest to 1 in y, 3, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -u - 9, -6*z + 2*z = 2*u - 10. Calculate the common denominator of -2 + 6 + (-472)\/(-144) and z*1 + 53\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -7\/11563788 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4108 - -168.\nAnswer: -3940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 5*b - 25. Solve 2*j = b*j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 18.9. Let x = 0.7 - m. Let d = 1 - 0.6. What is the biggest value in -4, d, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 46 + 76\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3951 is divided by 51?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, t: 1, g: 4, e: 5}. What is prob of sequence tg?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3 + -11)*1)\/(48840\/(-665445)).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 2:39 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 45 = -47. Solve b*x - 5*r - 23 = 0, 0 = -4*x - 0*r + r + 19 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -2 + 1 - (-4 + 4 - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.9507 and 22.\nAnswer: 21.0493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 1570 + 3133 = 1605 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 136? (a) 0.32 (b) -26 (c) 1 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 52, -858, -1780, -2720, -3684, -4678, -5708?\n\"Answer: -j**3 - 903*j + 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-35 - -102) + -79 - (88 - 0))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + -5)\/(2\/(-2)). Suppose 5*k - 58 = -3*i + 20, -4*i - 5*k + 104 = z. Is i a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/85 and -38\/2347.\nAnswer: 199495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -29 + 13 + 1 - -35\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u = -18*u - 19680. What is the least common multiple of 12 and u?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 7. Suppose 0 = -9*z + 13*z - d. Find the second derivative of -3*p**3 - 2*p**z + 6*p**3 + 3*p + 2*p**2 wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 2*h + 3. Suppose -2*r - 20 = 4*t, -5*r + 0 = t + 5. Suppose -6*l + 10 + 8 = r. Suppose l*z = -z - 8. What is p(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 63*d - 859. Let w be r(23). Solve w*c - 584*c - 24 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - g - 7, 0*g - 3*g = 2*z + 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247.9 + -247.97044. Let n = f - -0.07. Round n to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 35, 45, 49, 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -8*z**3 + 8*z**2 + 6*z - 5. Suppose 3*v + v = -16. Let q(f) = -7*f**3 + 7*f**2 + 6*f - 4. Let c(t) = v*p(t) + 5*q(t). What is a in c(a) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 32*c - 8*c - 8*c)*(4*c + 3*c - 5*c).\nAnswer: 32*c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2 + 22*k + 23. Let x be f(9). Let c be (10 + 10 + x)*2\/4. Put 6, -8, c in decreasing order.\nAnswer: 6, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3121387001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 2*f**3 + 0*f + 0*f**4 + 0*f**2 + 6 - 1\/60*f**5. Let h(b) be the third derivative of d(b). Let m(t) = -9*t. What is m(h(x))?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 337 and 4?\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 121235?\nAnswer: -121241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-360)\/27)\/(-20)*(-3)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + n - 22 = 3*z, 2*n = 5*z - 103. What is the highest common factor of z and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 10 = -2*k. Suppose 2*f + 2 = 3*f + k*s, 4*f + 2*s = 14. Find the second derivative of 51*x - 12*x**4 + 0*x**f - 46*x wrt x.\nAnswer: -144*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 2*u**2 - 1)*(-u**2 - u**2 - 2*u**2 + (2 + u - 2)*(u + 0*u - 2*u)).\nAnswer: -10*u**4 + 40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4070, 4025, 3976, 3923, 3866, 3805, 3740?\nAnswer: 3671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 + 120. Let g = n + -25.0000098. Round g to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + b - 3*b)*(1 + 1 + 1) + (-1 + 2*b + 1)*(3 + 0 - 1).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -18*y**3 - 4*y**2 + 4306*y + 21478. What is c(-5)?\nAnswer: 2098","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 1:45 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 263520.1 and -0.12.\nAnswer: -31622.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 708 and 5644884.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 - 136 = -39*a + 4*h, -a + 56*h - 51*h + 16 + 42 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -8*t - 4*t**3 - 3*t**3 + 6*t**3 - 10 - 8*t**2. Let m be x(-7). Let s(k) = 45*k - k**2 - 29*k - 20*k - 2. Calculate s(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(19) - sqrt(304)) + sqrt(209)\/(sqrt(33)\/sqrt(3)))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(3\/5)))\/s)\/s)**(6\/5)*(s*s*s*s*(s*s**5)\/s*s*s)**(-41) assuming s is positive.\nAnswer: s**(-11353\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwwaarparzgaagaaa. Give prob of sequence rpa.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.87163 litres?\nAnswer: 871.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 5 (c) 10 (d) 0.037\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 7*m - 19 + (3 + 2 - 3)*(m - m + m))*(0 - 2 + 1 + (-4 + 4 - 1)*(-2 + 7 + 0) + (1 + 0 - 3)*(-1 + 1 - 1)) to z*m + i and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34836 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*d - 569*d + 123*d + 111942 = 814*d for d.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68959.\nAnswer: 11, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 40586735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 + 21*y + 55. Let h be a(25). Suppose h = -17*n + 28*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11021122 (base 3) to base 2\nAnswer: -110000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 26 + 315*s**2 - 3 + 23 + s + 6 in the form n*s + f + q*s**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4) - 0)\/(3\/10). Solve -2*b = -2*m - l*b - 3, b + 6 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -18 + 14 + 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/10, 282\/7, 11, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(6)\/(sqrt(12)\/sqrt(6))) + -5*sqrt(432) - (sqrt(147) + sqrt(147) + (-5*sqrt(147))**2 + 3)*5.\nAnswer: -18390 - 130*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -5*v - 10, 5*x - 3*v = -v + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 + -1.5. What is the closest to w in 0.2, 0.3, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5329156 + 5328997 + 4*a - a.\nAnswer: 3*a - 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 11787*c - 23570.\nAnswer: -(c + 2)*(c + 11785)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 + j**3 - 6*j**3 + (j**2 - 2*j**2 + 0*j**2)*(-1 + 1 + 2*j).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 3:05 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 p when four letters picked without replacement from oooopbbbbbo.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, a: 13, z: 1}. Give prob of sequence zaab.\nAnswer: 39\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 354732030 in -0.4, 4, 3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 306668 and -42431.89.\nAnswer: 264236.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3*i*x**2 - 4*h**3*i - 6542*h**3*x**2 + 448*h*i wrt i.\nAnswer: -h**3*x**2 - 4*h**3 + 448*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17128\/9 - 1905. Find the common denominator of 44 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -237 + 556. Suppose -5*w + a = -y, 4*w = -0*w - 5*y + 261. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 4*v. Let p = -322 + 347. Solve v = 5*h - 5 + p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*a = 93*a + 30. Suppose -a*g - c = -2228, g + 2*g + 2*c - 2233 = 0. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147887817 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/440 and -23\/9712?\nAnswer: 534160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4229 is divided by 385.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427 = 31*v - 458 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518 + 15*a**3 + 203 + 315.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(sqrt(637) + -3) + (sqrt(637) - 6*sqrt(637))*6 + 3)**2.\nAnswer: -5544*sqrt(13) + 693834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.8 - 12.3. What is the closest to 0.02 in 0.5, p, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 4*u**2 - 4*u. Let k be r(5). Let i(l) be the second derivative of l**3\/6 - 7*l**2\/2 + 540*l. Give i(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2. Let p be j(-1). Suppose 0 = -4*s + 3*m - 1, 5*s + 5*m - p*m - 16 = 0. Solve 0 = -5*b + 7 - s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155869 times -17\nAnswer: -2649773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 319 + -530. Let u = o + 130. List the prime factors of ((-4)\/3)\/((-79)\/u + -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5452 and 86449.\nAnswer: 16252412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 19704.28nm?\nAnswer: 0.00000001970428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(209) - sqrt(209))*2)\/(sqrt(44)\/(sqrt(16) + sqrt(4)) + sqrt(11)).\nAnswer: -27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3157284 divided by -526214.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252900 and 151740?\nAnswer: 758700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/((-8)\/(-14)) + -4)*0. Let o be (-12)\/(-9)*((-3)\/(-14) - g). Let x = 23\/3 + -89\/12. What is the closest to o in 2\/5, 1\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 17949*x**2 + 1068840*x + 15992100.\nAnswer: 3*(x + 30)**2*(x + 5923)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - (-198)\/27)*((-189)\/18 + 9). Let r be 0 + -1 - 1*-3. Let w = -0.25 - 4.75. What is the nearest to n in w, -5\/3, r?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-6)*t)\/(t\/(t**(1\/3)\/t))*t**(1\/9)*t**4)**(2\/89))**2 assuming t is positive.\nAnswer: t**(-92\/801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12369 <= -10062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-5\/2)*i)\/((i*(i*i**(-7)*i)\/i)\/i))\/(i**(-1\/3)*i**(5\/2))*(i**(-4\/7)*i)\/(i\/i**(-6))*((i**(-2\/3)\/i)\/i)**(-2\/31) assuming i is positive.\nAnswer: i**(-1996\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 + 74*f**3 - 1 + 16*f**2 - 165*f**3 + 147*f**3.\nAnswer: 56*f**3 + 8*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 0. Let x(u) be the second derivative of u**3\/6 - u**2\/2 + u. What is the smallest common multiple of x(6) and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*o - 372 - 62 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, c: 1, e: 1, v: 1}. Give prob of picking 1 e, 1 v, and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54324.99 litres?\nAnswer: 54324990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -246923*c**4 + 7*c**3*z - 37*c**2 + 346*c*z - 3*c - 2*z wrt c.\nAnswer: -5926152*c + 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12992 - -12995. Solve 2*t = -5*v - 19, -21*t + 20*t = -d*v - 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 43060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1. Let a be 1\/(2 + 162\/(-82)). Let c = 42 - a. Which is greater: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t + 8*t - 5*t. Let j(c) = -3*c. What is g(j(u))?\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(72) - (4*sqrt(72) - sqrt(72)))\/sqrt(9)*4)\/((sqrt(64)*-2 - sqrt(64) - sqrt(4))*5).\nAnswer: 8*sqrt(2)\/65 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 326?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 2*h + 13*h**2 - 3*h - 3*h**2.\nAnswer: 8*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10474 + -181.33046.\nAnswer: -10655.33046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 31 + 7. Let t be 13\/(2\/4*2). Solve -4*h = 3*m - t, -m - x*m = -h + 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/9)\/(2\/3). Suppose -c*t + 10 = -0. Suppose -4*r - 4*k + 14 = -7*r, -2*k + 8 = -r. Put r, 1, t in ascending order.\nAnswer: 1, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*v + 2*y, 4*v - v - 2*y - 21 = 0. Suppose -4*h + 2*h = -c - 203, -v*c = -3*h + 1022. Let m = 241 - c. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 9 = 4*r. Suppose -2*g + 24 = 2*p, -2*g - r*p = -3*g + 17. Suppose 55 = 3*v + g. What is the remainder when 41 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/9))**(-3\/25))**(-45)\/(c**13*c**5)**(-7\/12) assuming c is positive.\nAnswer: c**(171\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(384\/40)*(-351)\/(-390).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -252 - -243. Let k be f\/15*(-30)\/9. Suppose 5*w - 2*a - 88 = 0, -48 = -2*w + 4*a - 0*a. Solve -k*z + w = -6*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*-1*sqrt(1377) - (3 + (sqrt(1700) - (sqrt(1700) + 1)) + sqrt(1700)))**2.\nAnswer: -176*sqrt(17) + 32912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 78 in 1446\/7, 0.5, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174972 and 6951.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 (base 9) in base 7?\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*r**4 - 147548 + 2*r + 147551 - 24*r**3 + 19*r**4 in the form o*r**4 + l*r + t*r**3 + w + p*r**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 153\/27 - 4\/6. Suppose -4*y - 3*d - 31 = 0, 5*d + a = -y + 6*y. Put y, 5, -2 in decreasing order.\nAnswer: 5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23231 - -7092. Let b = -9600 - l. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*x + x. Suppose 3*z - 2 - 1 = -4*l, 3*l + x*z = 2. Solve l = -4*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29642319?\nAnswer: 3, 7, 470513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49949264 and 544?\nAnswer: 99898528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - s + 659. Let v be q(-26). Solve -5*d = -3*r - 6, d + v*r = 10*r + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**3 - 2*p**2 + 2*p + 3. What are the prime factors of u(4)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11744\/3 - 93949\/24. Let y = -0.08 + 5.08. Sort t, y, 7.\nAnswer: t, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -491 - -289. Let y = -103 - c. Suppose 0 = -2*d - v + 24, -v - v = d - 15. What is the highest common factor of d and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3286 + -3255. Calculate the remainder when 207 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 9 = -6*i + 3*i, 7 = i + 5*f. Suppose -i*g + 15 = 1. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a millennium?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**4\/12 + s**3\/6 + s**2\/2 + 114*s. Let x(u) = 2*u**2 + 4*u + 10. Calculate 4*n(z) - x(z).\nAnswer: 2*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -39. Which is the third biggest value? (a) 9.4 (b) 2\/9 (c) 1\/3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(2*f - 3*f + 0*f) + 2 - 2 - 2*f + (4 - 1 - 2)*(53*f - 34*f + 66*f) to x*f + b and give x.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210320, -422804, -635288, -847772?\nAnswer: -1060256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 3*d. Let z = 5 - -51. Let q be (-1)\/(z\/20 + -3). Suppose 0*o + 20 = -q*o. Give r(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -204, -305, -406, -507?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(243) + -3 + sqrt(243)) - ((sqrt(243) + 0)*6 - sqrt(243))) + -5 + 5)**2.\nAnswer: 108*sqrt(3) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14370f (base 16) in base 5?\nAnswer: -314343230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*t - 3482 + 29417 = -16*t. Which is the nearest to 4? (a) 3 (b) 3\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16521, 833, 0 in decreasing order.\nAnswer: 833, 0, -16521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 836671*s - 836660. What is o(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 3*h + 0*h)*(-2*h**3 - h + h) + 1157*h**4 + 58218*h**2 - 58218*h**2 to the form l*h**2 + y*h + u*h**4 + z*h**3 + t and give u.\nAnswer: 1155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 7 + 5. Let l = -17 + j. Which is bigger: -14 or l?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**2 - 2*y - 4. Let m(g) = -2*g**3 - 8*g**2 - 11*g - 16. Let n be m(-3). Let b(a) = a + 1. Determine n*w(r) - 2*b(r).\nAnswer: 5*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 6*i**2 + 7*i - 5. Let h be n(5). Let o(g) = g**2 + g - 7. Let y be o(-7). Calculate the highest common factor of y and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 62 = -4*q, -i + 7*q + 3 - 14 = 0. Let x(z) = -3*z + 5. Let n(p) = -2*p + 3. What is i*n(c) - 6*x(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 61271560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 21535746 to the nearest one hundred thousand.\nAnswer: 21500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(125) + -5 + 6*1*sqrt(125) + sqrt(125))*-2*4)**2.\nAnswer: -30720*sqrt(5) + 514304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 2\/44987 (c) -110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 3. Suppose 3*h = 6 + 9. Suppose c - 6 = -1. Solve h*l - 8 = z*y, 0*l - 10 = c*y + 4*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*v + 55688 + 55376 - 111064.\nAnswer: 38*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - 1)*18\/90 - -193855. Suppose -16*g + 17714 = -r. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*k**4)*(-548 + 472 - 2*k - k).\nAnswer: -6*k**5 - 152*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*h + 200708, p + 2*p + 2*h + 120424 = 0. Let o = 5620137\/140 + p. Let m = 1\/28 - o. What is the nearest to -0.6 in 1, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7618591, -7618592, -7618593, -7618594, -7618595, -7618596?\n\"Answer: -a - 7618590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5 - 4*o + 2*o**2 + 12*o - 3*o**2 + o. Let d be x(9). Suppose z - 5 = 0, -6*p = -7*p - d*z + 566. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1818*f + 23572. Determine h(12).\nAnswer: 1756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 0*m + 10 = 0, m - 1 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/(-9)*(-24)\/(-10). What are the prime factors of v\/((-3)\/(9\/(-3)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 + -30. Is h a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyyyyyxyxxryyy. What is prob of sequence ry?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 55 - -3 - (-13 + 10)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/17 (b) 0.3 (c) -0.06 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4303506*m**5 + 2*m**4 - 17010720*m**2?\nAnswer: 258210360*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539199 is divided by 77020?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-5 - (-28 - -14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 593 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 5*q**3 - 3*q**3 + 39 - 6.\nAnswer: 2*q**3 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -14*p**2. Let q(s) = -977446 - 205*s + 977446. Give q(l(k)).\nAnswer: 2870*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(19)*2 + sqrt(19) + 5)*-2)**2.\nAnswer: 192*sqrt(19) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -0.69. Let x = 0.06 - q. Let c = -4.03 - x. Sort -1\/2, 2\/7, c in descending order.\nAnswer: 2\/7, -1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10879 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-2))\/(2 + 318\/(-156)))\/(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 43*q**3 + 12*q**2 - 3. Let l(x) = x**3 - 2*x**2. Determine 6*l(t) + p(t).\nAnswer: 49*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + 717?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) + (sqrt(144) - 1*sqrt(144)) + sqrt(112)\/sqrt(7)*3)\/((sqrt(784) - (sqrt(784) + -1*sqrt(784)))\/(sqrt(98)*-2)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14a + e53?\nAnswer: d09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 e when three letters picked without replacement from ieieiiiieiiiiiieei?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 132792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-33))\/(92\/69).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**3. Let r be c(1). Let d(l) = 3*l + 4 + 4*l**3 - 2*l**3 - 11*l**2 + l**r + 0*l. Is d(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 12 = 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p. Suppose 7*m = 11*m. Let a(h) be the second derivative of -3*h + 0*h**2 + 0 + 1\/12*h**4 + m*h**3. Calculate a(u(s)).\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(18) + sqrt(18))*-3)\/(3*(sqrt(6) + (sqrt(6) - sqrt(36)\/sqrt(6)))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 937 + -956.48. Let x = 0.08 + q. Let o = x - -20. What is o rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**4\/24 - k**3\/2 + 38*k**2. Give h(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 3*s - 141. Suppose -63*d + 755 + 262 - 135 = 0. Let k be (0 - s\/182) + d\/49. Sort -0.3, -0.2, -5, k in increasing order.\nAnswer: -5, -0.3, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*t - 76 = 0, -5*u + t + 84 = -4. Calculate the greatest common divisor of 1377 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011110 + -100000?\nAnswer: -11111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2291?\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 + u**2 + u**2. Let i be (-18)\/(-5) + (-6)\/(-15). Let q(m) = -m + i*m + 0*m. What is q(b(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 6966600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21614491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3\/3 + 7793948*f**2\/3 + 4*f\/3 - 7793948\/3 = 0. What is f?\nAnswer: -1, 1, 1948487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150.3999351 - -150.4. What is n rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*h - 12*h + 0*h)*(2 + 0 - 3) - 80*h + 975 - 975 in the form o*h + g and give o.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 6 + (-3 - (0 + 0))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 1454840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t = 76. Suppose -29 = -i + 24. Calculate the remainder when i is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3\/2 (b) 2 (c) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8*m*m)\/(m*m**(-5)*m) assuming m is positive.\nAnswer: m**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6368, -6187, -6004, -5819, -5632, -5443, -5252?\nAnswer: -5059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + (sqrt(12)\/sqrt(3)*1)\/sqrt(2) + 1*(5 + -1 + sqrt(2))*-3 + -2.\nAnswer: -6 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440775.\nAnswer: 3, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6793 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-1) - -2) + 1. Let z = 120021\/16910 + 4\/1691. Calculate the common denominator of 9\/10*(-45)\/m and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0408 and 6.99.\nAnswer: 7.0308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -0.2, -1.6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d. Let m be x(4). Let g(q) = 4 - m - 7*q**2. Let b(r) = -1. Let o(l) = -l - 3. Let p(n) = 3*b(n) - o(n). Determine g(p(y)).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 + -38 + 1 + 10)\/(4\/4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -24*m**2 - 9*m + 26. Let g(u) = -11*u**2 - 4*u + 12. Let p(k) = -13*g(k) + 6*h(k). Let d(x) = x**2 + x - 1. What is 2*d(z) + p(z)?\nAnswer: z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1395*u**3 - 8765*u**3 - 1672 + 1672.\nAnswer: -7370*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17999 - -20?\nAnswer: 17a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**7\/840 - b**6\/60 + b**4\/24 - b**3\/3 - 89*b - 93. Let p(l) be the third derivative of k(l). Determine p(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/6 and (23\/(-72))\/((22440\/(-32))\/(-55)).\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46631702 to the nearest integer?\nAnswer: 6829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 15*p + 120. Let s be l(6). Which is the second smallest value? (a) 0.3 (b) s (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70254*j**2 - j - 296 - 140514*j**2 + 70274*j**2 as b + g*j**2 + t*j and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/11 + 0 + -4. Does 7 divide (-4)\/(-10) - 73\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjj when three letters picked without replacement from {j: 8, o: 8, m: 2}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - 19*m**4 + 5 - 13*m**4 + 29*m**4 - 4*m**3 as w*m**2 + t*m**4 + x + n*m**3 + h*m and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 635732 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3127 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8907, -17895, -26883, -35871?\nAnswer: -44859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from kllkgpkk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o**(-10))\/((o**1*o)\/o*o*o*o**(1\/3)*o*o*o) assuming o is positive.\nAnswer: o**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 398 - -527. Does 37 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -14, -5027, 1, -1 in descending order.\nAnswer: 3, 1, -1, -14, -5027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 113044514, 113044515, 113044516, 113044517, 113044518?\n\"Answer: y + 113044513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4448584 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 3*j + 1690. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 0*h - 5*h - 25, -3*r = 5*r - 2*r + 10*h + 18 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-18))\/(((-1)\/9)\/(40\/(-300))).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41421330?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1458 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 1)\/1 + -1. Let g = 8 + x. Suppose 2 = a - g. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**2 - 156870*l - 1230409845 = 0.\nAnswer: -15687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/14)\/((-4730)\/(-13244)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:34 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722534 is divided by 12728?\nAnswer: 9766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2575*c**2 + 2920*c**2 - 1630*c**2 + 1376*c**2 + 2043*c**2.\nAnswer: 7284*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 33231 (base 4) to base 12\nAnswer: 6b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from {k: 7, q: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 168984, 676932, 1523508, 2708712, 4232544, 6095004, 8296092?\n\"Answer: 169314*h**2 + 6*h - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219 + -223 - (4 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (7 - 5 - 11) + -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n**2 - 6*n - 1. Let z(d) be the first derivative of -4*d**3\/3 + 5*d**2\/2 - 9. Let g(o) = -3*h(o) - 4*z(o). Let k = 5 - 2. Determine g(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*(-4)\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 3)*(0*p + 0*p - 2*p) + 4 + p - 4 + (-p + p + p)*(1 + 3 - 2) + 5*p - 3*p + 0*p + 2*p + 2*p - 5*p + p + p - 3*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-148)\/111*(-6)\/4. Suppose 0 = -2*n - o*y + 330, -14 + 495 = 3*n - 4*y. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4249 is divided by 578?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w - 36 = i, -36 = -w + 5*i. Suppose -2*j - 3*q - 63 = 0, 65 = -j - 5*q + w. Let m = 12 - j. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {g: 1, z: 1, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -1, -6, 1, -4.\nAnswer: -34, -6, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i + 2*i + 0*i)*(-11*i + 9*i + 6*i) + (2 - 2 + 3*i)*(-2*i + i + 2*i) to the form p*i + d + a*i**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*d - d + 308, -1148 = -4*n + 5*d. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -3*t**4 + 8*t - 4\/5*t**5 - 19 + 6*t**2 - 4\/3*t**3. Determine u so that i(u) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*26.03\nAnswer: -130.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12516804 divided by -112764?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 4*n - 5, -2*n = -5*t - 3*n - 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + 3*f**2 - f**3 - f**2)*(18*f**2 - 9*f**2 + 12*f**2).\nAnswer: -21*f**5 + 42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2433031.\nAnswer: 571, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-18))\/j)\/(j**(-2\/15)\/j*j) assuming j is positive.\nAnswer: j**(272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 7:24 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91561316 divided by -7.\nAnswer: 13080188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from xezmzzeezuz?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20434 (base 5) to base 10.\nAnswer: -1369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70230, 70232, 70234?\nAnswer: 70236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12604 and 60007?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11\/4 (b) 3\/2 (c) 4 (d) 0.5 (e) 2.38 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/(-6) - (4 + 50\/(-12)). Suppose -4*t - 2 = k*v, -3*v + 5*t + 0 = 3. Let y be 20\/((-4)\/(v + -3)). What is the highest common divisor of 60 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**3 - 2*c**2 - 2*c + 1. Let u be w(-2). Let l be 6\/u + (-145)\/(-45). Solve 0*k + k + 20 = l*h, -2*h + 2*k + 20 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 325*f**2*h + f*h - f - 16*h wrt f.\nAnswer: 650*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8019)\/(-63) + (-2)\/7?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.0415.\nAnswer: -0.0415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7565 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13487592*y**2 - 9240375?\nAnswer: -26975184*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**13\/v)*v*v**(6\/5)*((v\/(v*v**(1\/64)\/v))\/v)\/(v\/((((v\/(((v*v*((v*v**(-16)\/v)\/v)\/v)\/v)\/v))\/v)\/v)\/v)) assuming v is positive.\nAnswer: v**(1979\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74475636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l - 18. Let d(t) be the third derivative of -t**4\/24 - 2*t**3\/3 + 16*t**2. Let m(u) = -4*a(u) + 18*d(u). Let z(k) = 62*k**2. Determine m(z(r)).\nAnswer: -124*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (18\/(-7))\/(20*177\/(-1024240)) is divided by 73.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 + 19\/30. Let p = -10 - -11. Which is the nearest to p? (a) i (b) 1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.59 + -0.49. Let h = 53 - 42. Let f = h - 16. Sort q, f, -3, 1 in ascending order.\nAnswer: f, -3, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3984 + 132*q**2 - 3984 as j*q + o*q**2 + m and give o.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 3. Let i(b) = 101 - 231*b + 356*b + 93 - 24 + 68. Let n(g) = -i(g) + 6*y(g). Find the first derivative of n(t) wrt t.\nAnswer: -119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61784237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 18*c - 141. Let g be z(8). Suppose 23*b - 13 = 22*b - n, g*n - 21 = -b. Calculate the remainder when 1*4*35\/4 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172180, -172184, -172188?\nAnswer: -172192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1712280 and 17760.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -4*b**3\/3 + 5*b**2\/2 + b. Let u(f) = -f + 3. Let o(g) = g - 4. Let h(p) = -2*o(p) - 3*u(p). What is 5*h(q) + s(q)?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -1 - 2*t**2 + t**4 - 13 + 15 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 9900.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 32c (base 15) to base 7\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6364.53 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -33.1. Let v = 185\/4 + -46. Which is the third biggest value? (a) v (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -32*b**2 + 75*b - 144. Determine r(4).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 5*i + 20. Let p(g) = g**3 - 1 + 35*g**2 + i - 2*g + 4 - 31*g**2. Give p(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 - 22*y**2 + 6*y - 62. Suppose -3*p + 17 = -16. What is the lowest common multiple of g(p) and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -954 + -51\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 45*h + 26 - 14 to the form c + l*h and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 20 = -8*o - 4*o. Solve -4*n + l - 13 = -8*n, o = n + l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 l when three letters picked without replacement from {l: 1, v: 12, p: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -633835 times 6\nAnswer: -3803010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*v - 34, -3*j - 5*v = -v - 48. What is the remainder when 58 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 3. Let v(d) = -2*d + 9. Let b(o) = -3*i(o) - v(o). Determine b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0175936485 to 6 decimal places.\nAnswer: -0.017594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 - 33 = 0. Let y = -1 - d. Suppose -y*x + 2*x = 0. Solve -4*q + 2*s - 26 = x, -8 = 4*q - 3*s + 7*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 693874?\nAnswer: 4\/346937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 2*z - 1. Let w be b(-1). Let x = 5 - w. Find the second derivative of -2*c - x*c**3 + c**3 - c**3 wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from fnqpxxfxxdxppppnxppp.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 717 divided by 5?\nAnswer: 717\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 13 = 8*t - 2*v, 4*v = -4. Which is the nearest to 0.1? (a) 0.2 (b) 1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -635*n + 6. Let o be y(-8). Let h = 50969\/10 - o. Find the common denominator of h and -51\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c8c4 (base 13) to base 10.\nAnswer: 27876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39604.\nAnswer: 2, 9901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/222 and 65\/222.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 982 a factor of 2810334736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*k - 25, 5*k + a - 74 = -3*a. Let g be -5 + 5 - (-4)\/k. Let h = -44 + 43. What is the second biggest value in h, g, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 12 = -6*a. What is the second derivative of -c + 3*c - a*c**5 + c + 4*c**5 wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 16. Let d(r) = -5. What is 2*a(c) + 6*d(c)?\nAnswer: 2*c - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-19 + 32 - 27)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -249*p - 216*p - 15*p to z*p + x and give z.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147 + -83. What is the greatest common divisor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 6 - 1)*((5*q - 35*q - 11*q)*(1 - 1 - 2) - 2*q + 4*q + 0*q + 700 - 700 - 32*q) as l + s*q and give s.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (-3 - -52) - (-23 - 4)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -101100?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 4*i**2 + 12. Let j(d) = 3*d**3 + 5*d**2. Let a be j(-2). Let z be n(a). What is the highest common divisor of 96 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**3\/3 - 2*a**2 + 11*a + 47. What are the prime factors of v(15)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 49.9983. Round l to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 561, 556, 559, 576, 613?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 617031385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4340 and 5146.\nAnswer: 360220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6.9 * -32200\nAnswer: 222180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w + 1. Suppose 5*n = -3*j - 4 + 5, 0 = -4*j - 12. Let g(a) = -17*a - 6. Let o(x) = n*g(x) + 11*z(x). Determine o(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -15*l**2 + 5*l - 5. Let t(h) = 8*h**2 - 3*h + 3. What is -5*t(o) - 3*w(o)?\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*k - 7 = 0, -13 = -i + 3*k - k. Suppose -42*l + 67*l - 69*l = -88. Solve -i*x = 4*w + 6, l = 3*x - 0*w + w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 22*s - c = 127, -5*s - 2*c + 162 = 0. Calculate the remainder when s is divided by (-276)\/(-15) + 2\/(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 62 = 14. Suppose -3*u = -j*u. Are 4\/31 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptp when three letters picked without replacement from {p: 2, t: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 595\/(-63))\/((-4)\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + -0.99. Let s = -0.7 + 0.8. Sort -3\/2, p, s in descending order.\nAnswer: s, p, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.86 + -3.86. What is the closest to 2\/13 in -7, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, -58.93, -11, -5 in descending order.\nAnswer: -5, -11, -58.93, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -8 - ((-13 - -11) + (-1 - 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4180 - -4179. Which is the nearest to 4? (a) t (b) -25 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (0 - 1)) + -3 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g - 27*g = -980. What is the hundreds digit of (1 + g)\/(7\/((-42)\/4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*t**2 - 493*t**3 + 491*t**3 + 220*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178567503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 3\/5, 1\/5.\nAnswer: -1.1, 1\/5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.9 - 25.3. Which is the nearest to 4? (a) 5 (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 6:26 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21914724 and 312?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-18)))\/p**(4\/5)*p**(-17)\/p*p**(-28))**(-4\/5) assuming p is positive.\nAnswer: p**(576\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1273 - 5) + 2 - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 2:45 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 126, 148, 188, 252, 346, 476, 648?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4082 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 43\/3, -2\/11, -6\/11, 0 in descending order.\nAnswer: 43\/3, 5, 0, -2\/11, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/30 + (-5)\/(-25))*-177. Let w = p - -81. Suppose w*m = 19*m + 306. Calculate the smallest common multiple of 9 and m.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 760 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 397038937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57101 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1 - 160\/158)*2. Let d = -149 - k. What is the greatest common divisor of d and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x. Let o(n) = 2*n + 13. Let r be o(9). Let v = -27 + r. Is 5 a factor of g(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a050 (base 13) in base 7?\nAnswer: 121146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 15*w**2 + 8*w**2 - 25*w**2. Let m(y) = 12*y. Give m(k(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*(sqrt(192)*1 + 2)*-3*-3.\nAnswer: -2592*sqrt(3) - 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/7 + 13532*l\/7 + 13546 = 0. Calculate l.\nAnswer: -7, 6773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16067 - -16071. Calculate the lowest common multiple of s and (-6 + 2)\/(4\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**4\/12 - 13*y**3\/2 - 5*y**2. Let c be r(17). Let i = 0 - c. Calculate the remainder when 8 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by (-2)\/(-3)*(9 + 12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/9 + 8*d**3\/9 + 10*d**2\/9 + 4*d\/9.\nAnswer: 2*d*(d + 1)**2*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 132*f - 70*f - 310. Let 16\/7*u**3 - 10*u**f + 0 + 62\/7*u**4 - 8\/7*u**2 + 0*u = 0. What is u?\nAnswer: -2\/5, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8776 + -8781. Let y(d) = d + 1. Let s(k) = -2*k - 6. Determine j*s(u) - 30*y(u).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 227838 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.527 - -13.227. What is the second biggest value in 0.2, j, 5, -5\/4, 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.891323 times 21?\nAnswer: -459.717783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7824 divided by 5.\nAnswer: 7824\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpw when three letters picked without replacement from {t: 1, d: 1, w: 1, p: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 211414164 (base 7) in base 3?\nAnswer: 212121012020110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 132 = 20. Let u = -67 - r. Let i be (-3)\/(-1) - (22 + u). Solve 0 = -f - 3*f - i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20276, -54, 1, -3, -2 in increasing order.\nAnswer: -54, -3, -2, 1, 20276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 a factor of 16342695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22117 divided by 69.\nAnswer: -22117\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k - 2*k)*(6*k + 9*k - 18*k - 6).\nAnswer: 9*k**2 + 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1729704 divided by -864852.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2856 to the nearest 100.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181 - 181.3. Which is the closest to 1? (a) w (b) 3\/19 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2285 divide 28947134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 1441?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*g + 8*g. Suppose 4*n - 9327 + 2181 = -g*j, 0 = 3*j - 4*n - 10669. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 180, 858, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5874971 is divided by 187?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/15 and 17\/1266?\nAnswer: 6330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/4)\/c*c**1\/c)**13\/((((c\/c**(2\/3))\/c)\/c*c)**40\/((c**(-1)*c)\/c)**(-6\/11)) assuming c is positive.\nAnswer: c**(3163\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11462 - -11582. Which is the fifth biggest value? (a) -0.4 (b) o (c) 4 (d) 1\/3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1449 - 1229 = 0. Suppose 2006 = 5*g - 2*g - z, 2*g = -z + w. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, -57, -139, -263, -435?\n\"Answer: -m**3 - 12*m**2 - 3*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 226690504 rounded to the nearest 100000?\nAnswer: 226700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4141)\/180 - (-28)\/(-35). Let l = j - -107\/4. What is the common denominator of (-39)\/(-10) + (-2 - 0) and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ereeeeeeereee. Give prob of sequence eeer.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006337211 rounded to six decimal places?\nAnswer: 0.006337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37726?\nAnswer: 2, 13, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 26*g - 1295. Calculate j(45).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 324814.\nAnswer: 324817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 15 = -2*n + 3*w, 0 = n + 2*w + 6. Let s(d) = -2 + 4 + 2 + d. What is the units digit of s(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620991 a multiple of 1839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 32655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*c - 54, 108 = -2*l - 2*l - c. Let h = l - -26. Is -6\/7 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(10\/4 - 0). Suppose 0 = -2*j + 2*i + i - 3, r*i - 13 = 2*j. Suppose -n - 12 = -3*z, 4*n + 5 + 7 = 0. Calculate the remainder when j is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 30\/13 (c) 0.5 (d) 2\/11 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2453 = 3*f, -f + b = 2*b - 816. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + c**2 - 2*c + 17. Suppose -2*p + 6 = -2*y, 2*y + 183 = -4*p + 195. Calculate v(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 33319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 72614100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = c - 294, 16*f = -c + 20*f + 294. Find the third derivative of -c*t**2 - 3*t + 567*t**2 - 282*t**2 + 39*t**3 wrt t.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**3\/9 - 4246*j**2\/9 - 155138*j\/9 - 669290\/9 = 0.\nAnswer: -31, -5, 2159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -321 + 321 + 17*m - 106*m as h*m + a and give h.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 - 65 = -5*f. Are f and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1767*s**3*u**2 - s**3*u*y - 96*s**3*y + 778*s**2*u**2*y + 6*s**2*u*y - s**2*u + s*u*y + 6*s*u + 15*u*y wrt u?\nAnswer: -3534*s**3 + 1556*s**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.5133 hours in nanoseconds?\nAnswer: 203447880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044680.47 rounded to the nearest 1000?\nAnswer: 2045000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -1\/90*y**5 + 0*y**3 + 0*y**4 - 14*y**2 + 1\/360*y**6 + 0 + 0*y + 1\/630*y**7. What is i in j(i) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1121410 and -77\/20.\nAnswer: 2242820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*h - 1818 = -7*h, -o = 4*h - 912. What are the prime factors of o?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 80, -32.39, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3))**(-10)*((v*v*(v**(-10)*v)\/v*v)\/v)\/(v\/v**(-2\/5)))**(-17) assuming v is positive.\nAnswer: v**(-901\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/15768646 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 374514.7 grams?\nAnswer: 374514700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12965 take away 16531?\nAnswer: -29496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*p + 83 = 0, -5*p = -p - 12. Let g = q - 14. Let b be (-47608)\/(-56) + g\/(-21). Round b to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 6*a**2 - 12*a**2 + a**2 + (a + 2*a - a)*((1 - 1 - 1)*(4 + 2*a - 4) + a + 7 - 7) to m*a + x + k*a**2 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 5. Suppose 4*z - 25 = -z. What is the units digit of t(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695893071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -291506170.5 to the nearest one million.\nAnswer: -292000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 35, 73, 115, 155, 187, 205?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5215936 and 1408?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1411 + -1427 - (0 - 24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -42846, -85741, -128636, -171531?\n\"Answer: -42895*i + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 574519 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 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 o = 0.836 - 0.236. Let w = -211 - -206. Which is the smallest value? (a) 0.3 (b) o (c) 0 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 92.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 7. Let f(m) = -2. Let r(x) = -2. Let v(z) = 4*f(z) - 5*r(z). Let t(o) = 2*a(o) - 7*v(o). Let k(h) = 4*h - 6*h + 0*h. Calculate k(t(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492 = -291*j + 332*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/11? (a) 0.3 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2483 and 3056.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 147, -36, -3, -2268.\nAnswer: -2268, -36, -5, -3, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 p, and 1 i when three letters picked without replacement from mpmpimwppwmppii?\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 61702 - 76698 = 0. Round u to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (5 + -12 - -16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166 - -262. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 33*s**2 + 9*s - 295. Let g be l(33). Put g, 5, -2, -8, 17 in ascending order.\nAnswer: -8, -2, g, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 83 = -252. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*l**2 + 368*l**3 - 40*l**2 + 1338*l**3 + 90*l**2 + 184*l**3.\nAnswer: 1890*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5\/3 + 8*f**4\/3 + 2*f**3\/3 - 16*f**2\/3 - f\/3 + 8\/3 = 0 for f.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9182, -53352, -126962, -230006, -362478?\nAnswer: -524372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.2 and -17.7.\nAnswer: -92.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -2. Let p = 0.2 + -0.2. Let l = -5 - p. Sort l, -2\/9, k in decreasing order.\nAnswer: -2\/9, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-o - o + 4*o)*(10 - 5 + 4) - 2 + 2 - 2*o)*(3 - 1 + 0).\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4240, -4251, -4262, -4273?\n\"Answer: -11*d - 4229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1114 + 513 = 882*i + 44282 + 8501 for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 106*r**2 - 530*r - 2. Calculate t(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -97*w + 9. Let z(m) = 195*m - 17. Let b(a) = 7*y(a) + 4*z(a). What are the prime factors of b(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -450*w + 161. Let m(c) = 338*c - 122. Let l(k) = 9*m(k) + 7*v(k). Suppose 3*f = 6*f + 93. Is l(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4\/w*w\/w**(1\/7) assuming w is positive.\nAnswer: w**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*w, 2*p + w + 2*w - 23 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -186 + 318. What is the remainder when z is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10555424 (base 6) to base 16.\nAnswer: -4fb88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.34 * 616.\nAnswer: 209.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21973206010.69749918 + 21973205479. Let d = 524.897498 + m. Let f = d - -6.8. What is f rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = -4. Suppose m = -6*q + 316 + 776. List the prime factors of q.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151586?\nAnswer: 2, 75793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -10*p + 20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5\/7 + 6*y**4\/7 - 20*y**3\/7 - 66*y**2\/7 + 163*y\/7 - 12 = 0 for y.\nAnswer: -7, -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4 - 8 - 4 - q - q. Suppose 4*s - 39 = 4*d + 3*s, 0 = -3*d + 4*s - 39. Let a be t(d). Solve -a*m + 4*m + 5*j - 17 = 0, 0 = 3*m - j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*m - 0*m. Suppose m*q - 15 = -0. Is 6 a factor of (6*q)\/(12\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 5. Let o = 0.1 - 1.1. Let i = o + x. Are 0 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3*u - 3, 2*o - 2*u - 3 = u. Suppose o = 3*n - 5*p - 7103, n = 12*p - 9*p + 2365. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/79 in -1\/8, 1, -0.17581?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70490679?\nAnswer: 3, 7, 3356699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 + 1)*(-6*k + 4*k + 3*k) + (0 + 2*k + 0)*(3 + 1 - 5))*(109*k**2 + 39*k**2 + 197*k**2) in the form n + f*k + m*k**3 + a*k**2 and give m.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -2. Let g(y) = y**2 - y**2 - 4 + 2*y**3 + 5*y. Let u(b) be the first derivative of -b**2\/2 + b - 2. Determine x*u(s) + g(s).\nAnswer: 2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, 6\/13.\nAnswer: -11, 6\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1434*x**2 - 468 + 468.\nAnswer: -1434*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - (3 + -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7\/(-2)*(-21)\/(1176\/61216)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.8 + 20. Let j = s + 7. Let r = j - 1.1999946. Round r to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 236146 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7 - 115*o**2 - 10027*o**3 - 567*o + 1080*o - 514*o wrt o?\nAnswer: -60162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 487*w**5\/20 - 1070*w**3\/3 - 107*w**2. Differentiate s(x) with respect to x.\nAnswer: 2922*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/12 + (-805)\/(-92). Solve c*s = -5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4 = -5*i - 1, 4 = -4*i. Suppose j = -n + 4*n - 33. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/29 (b) -1\/10 (c) 1011 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1000*r**2 - 489*r**2 - 506*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*s + 4 = 0. Suppose -s*m + 252 = 2*n, -11*m + 6*m + 306 = -2*n. Calculate the remainder when m is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 14*m + 17. Let i(j) be the first derivative of -5*j**2\/2 - 6*j + 1. Let f be (-25)\/9 - (-2)\/(-9). Let p(x) = f*b(x) - 8*i(x). Determine p(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51381 and 891.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d + 117. Give i(-25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 777 and 44910341?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 39 - 1 = 2*d, -v - 92 = 4*d. Let i = d - -28. Let u(h) = -797*h**3 + 2*h. Let p be u(i). What is p rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 5:24 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100110 (base 2) in base 6?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 10:53 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(68) + (sqrt(68) - 1*sqrt(68)))\/sqrt(4)*3 + (-2*sqrt(119)*3)\/sqrt(7) + -5.\nAnswer: -15*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 51 + 1 + -19 + (86 + -39 - 32).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1212\/(-30) - 2\/(-5). Let d be (-10)\/(-16)*16\/s. Let j = -11 - -12. Which is the smallest value? (a) j (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 15) to base 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125 - -99. Is 47*2*(5 - w\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/32*14\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -16*s - 21. Let x(y) = y**2 - 17*y + 10. Let j be x(16). Let i be p(j). Suppose 3*g - 24 = i. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 25*o - 66. Let m be z(27). Let i(w) = w**3 + 10*w**2 - 23*w + 14. Let n be i(m). What is the greatest common divisor of 28 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-1)\/((0 - -2)\/8). Which is the biggest value? (a) -11 (b) 0.4 (c) 1\/7 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e9 (base 15) in base 14?\nAnswer: -23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136552169 to the nearest integer?\nAnswer: 11686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 4*c + 7. Let m be a(-7). Let z be 32\/m - (-20)\/70. Is z < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7340*u - 7462*u = 5978 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 5918 - 5854 = 11*b, -5*b = -3*v - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9 - 14*u + 18 + 5 + u**2 - 8. Let r be l(12). Let i(v) = -4*v + 198. List the prime factors of i(r).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 p when three letters picked without replacement from {t: 5, p: 4, d: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 + -30. Suppose -2*f - 2*b = -4, 5*f = f + 2*b + x. Suppose f*i = -12 + 92. What is the least common multiple of i and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2626, 12022, 30498, 60358, 103906?\n\"Answer: 384*p**3 + 2236*p**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 3\/8 (c) -4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -15.57448.\nAnswer: -62.29792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 4*q**2 - 4*q + 7. Let v be l(-5). Let p be (16 - v\/2)\/1. Solve -3*c = -8*c - p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 234*o - 58. Suppose 7*h - 9*h + 3*s + 8 = 0, -2*s = 4*h - 16. List the prime factors of z(h).\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 - 0.989\nAnswer: -2.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.560972195 to 4 decimal places.\nAnswer: -4.561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 5) to base 15\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**5\/60 + 28*d**2. Let z(f) = 8*f. Calculate s(z(y)).\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4186.31 centuries?\nAnswer: 418631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1610660855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60630 and 211325865.\nAnswer: 422651730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 31. Let z be x(-11). Let v = z + 39. Is 3 a factor of ((-4)\/v)\/((-12)\/(-54))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127 + 386\/3. Let l = 0.2 + 0.8. Let q = 2 - 2. Which is the closest to q? (a) p (b) l (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3364939 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 67. Let o(p) = -p**3 + 6*p**2 + 4*p + 10. Let h be o(6). Let d = r - h. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1227 + 98*w + 128*w + 1227 - 211*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*p - 3*h - 2, -2 = -p + 3*h. Suppose 18 = 4*b + p. Is b*((-108)\/8)\/(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9136 and -7.9.\nAnswer: 9128.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - -1863?\nAnswer: 187b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243089487 and 2988?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1642*s**2 - 8411.\nAnswer: 3284*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30040000 rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-60)\/3)\/(-8 - -2). Factor j*k + 2\/3*k**3 - 8\/3*k**2 - 4\/3.\nAnswer: 2*(k - 2)*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i - 40*i - 2*i to the form j*i + r and give j.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (235 + 5)\/(-1) - 1. Let r = u - -728\/3. Factor 40*d**2 + 40\/3*d**3 + 160\/3*d + r*d**4 + 80\/3.\nAnswer: 5*(d + 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3*f - 3838 - 1463, 5*v - 8883 = -3*f. What is the remainder when v is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177 (base 8) to base 3\nAnswer: -11201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -1108, 39 in decreasing order.\nAnswer: 39, -36, -1108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -838\/5 - -167. Let v = -0.11 - 3.89. Let n = 0.01 - -1.99. Which is the closest to n? (a) x (b) 0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/5)*(q\/(q*q**(-3\/5)))\/q*q*(q**(1\/12)*q)\/q*q*q*q**(-5)*(q**(-3\/5)\/((q\/q**(1\/4))\/q))**(-30) assuming q is positive.\nAnswer: q**(479\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*o**2*t - 3*o*t + 3*o + 5*t + 49 with respect to o.\nAnswer: 38*o*t - 3*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/((2*sqrt(84))\/sqrt(12)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 30. Suppose v*j - 7*j = 50. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - 0.7. Let c = -0.1 + -3.9. What is the nearest to -1 in 3, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 10*c - c to w*c + j and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 105268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(16)\/sqrt(2) + (sqrt(32) + sqrt(2) - sqrt(2))*1) + 1 + 1 + 1)**2.\nAnswer: -216*sqrt(2) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1232 = 4*j - 8*j. Let o = j + -155. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*d - 58 = 17*d. Which is smaller: d or 14\/19?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 10*w - 7*w. Suppose 2*k + w*f + 4 = k, 2*f = -3*k - 2. Suppose k*l + l = 6. Solve -l*q = -4*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 3*x + 3*x)*(x - 1 + 1) - 12*x**2 - 11*x + 2*x + 13*x**2.\nAnswer: 2*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.03, 29, -66, -5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 54.1. Let a = c - 0.1. Suppose -4*b + 137 - 138 = -5*z, b - 5 = 3*z. What is the third biggest value in -5, a, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2\/t*t**(3\/10))\/(t**1)**(3\/22))\/((t**(2\/17)*t*t**(-2\/11)*t)\/((t*t**(-3\/7)\/t)\/(t\/t**(-4\/5)))) assuming t is positive.\nAnswer: t**(-3928\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 - 4)\/((-2)\/(-16)). List the prime factors of d + (-4)\/(-4) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -460, -1892, -4282, -7636, -11960?\nAnswer: -17260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207097 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, l: 4, u: 6, b: 2, v: 2, n: 3}. What is prob of picking 1 l and 2 n?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002437 rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y - 4. Let o(q) = -q + 1. Let p(a) = n(a) + 4*o(a). Let m(h) = -3*h. Give m(p(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 2*h**2 - 17*h - 7. Let m = -20 + 15. Let d be v(m). Suppose l + 0 = -2. Put l, d, -2\/3 in descending order.\nAnswer: d, -2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401 - 398 + 1984 - 393 - 64*h**2 - 396 - 396.\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1365 and -149881248?\nAnswer: 149879883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 2*w**2 - 2*w + 1043. Is z(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.25 - -10.75. Let s = 15 - b. Let c = -2.1 + 2. What is the closest to c in s, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3309823263 from -18.\nAnswer: -3309823281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**3\/3 + 5*o**2\/2 - 4*o - 32. Factor t(a).\nAnswer: -(a - 4)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56\/(-6) - (-3)\/9. What is the remainder when (-3)\/(-9) - 456\/r is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 146 = 5*r - 569, 4*q - 811 = -3*r. Calculate the remainder when q is divided by (-441 - -440)\/(3\/(-75)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a. Let p(h) = 10*h - 69. Let k be p(7). Let q(v) = 11*v - k + 3 - 4 - 1. Give q(s(m)).\nAnswer: 22*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(84)*1 + (sqrt(84) - (sqrt(84) - (sqrt(84) - 1*sqrt(84)))*4))\/(-2*sqrt(12)*-3 + (sqrt(12) - sqrt(12)*1*4)) + 1.\nAnswer: -sqrt(7)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9)\/(-5)*10\/60 and 131\/234.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3. Let y = -12 - -16. Factor v*r**3 + 1\/4*r**5 - 1\/4*r + 1\/2*r**y + 0 - 1\/2*r**2.\nAnswer: r*(r - 1)*(r + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f - 2 = 0. Let v be -21 - 4*(-2)\/4. Let j = -14 - v. Put f, j, 1 in descending order.\nAnswer: j, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -4, -0.2, -4\/7, -787, 1\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/144 and 19\/184.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145452013?\nAnswer: 7, 499, 41641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*f + 31009 - 43936 = 0 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607108 is divided by 35708.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*j, -4*j = -2851*m + 2848*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 43 - 20 + 32*j in the form w + z*j and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kll when three letters picked without replacement from kzzlllzll.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 6, g: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274 + -268 - -7*3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 10. Let y be h(-7). Suppose -y*d = 2*d - 90. What is the highest common factor of 27 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3035*m**2. Let l(q) = -3*q. Determine n(l(b)).\nAnswer: 27315*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.58 - 0.42. Which is the third biggest value? (a) -0.08 (b) 3 (c) 1\/5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 1\/6*i**4 + 2\/15*i**5 + i + 12*i**2 + 137\/3*i**3 + 0. Differentiate z(j) wrt j.\nAnswer: 16*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -33*n + 262. Let i be d(8). Let c(p) = -2*p + 18. Let x be c(11). Sort -47, 3, x, i.\nAnswer: -47, x, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/16072 and -75\/22?\nAnswer: 176792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1139812 rounded to the nearest ten thousand?\nAnswer: -1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -2. Suppose -3*z - 2 - 1 = 0. Which is the biggest value? (a) 0 (b) z (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 - 80*u**2 - 83*u + 10. What is o(41)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 12576.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3 + 12210*t**2 - 18643932*t + 37239040 = 0 for t.\nAnswer: 2, 3008, 3095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(8\/9))**43 assuming d is positive.\nAnswer: d**(1118\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 3*g + 2. Let h be d(6). Suppose l + l = h. Is l\/(-45) - 2686\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**2. Let d(x) be the second derivative of -175*x**3\/3 - 13*x - 3. What is w(d(r))?\nAnswer: -490000*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/20 and -29\/42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jeejemme. What is prob of picking 2 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*j + 4)*(3 - 6 - 3) - 2*j + 2*j - 3*j.\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 416, 1\/4, 180 in ascending order.\nAnswer: 1\/4, 180, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 30 = -125. Let n = k + 535. Is n a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2*q**2 + q**2)*(5*q**3 - 10*q**3 - 19*q**3).\nAnswer: -24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from leoullppll.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.16 (b) -0.3 (c) 0.84 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 16*s - 366. Let l be n(23). Let v = -40 + 58. What is the highest common factor of v and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 5*c + 2 + 3, -7*k + c = 9*c + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-292)\/(-8) - -2. Let y = 7 - d. Let q = 1 - y. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -28, 1, -1, -5 in ascending order.\nAnswer: -28, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/13 in -286, -0.3, 0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrouroo. What is prob of picking 1 u and 3 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70991 = 180*g + 53891 for g.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 3456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 - 2*b**2 + 2*b - 2. Let o be q(2). Let r be -2 + (0 + -1 - -5). Suppose 4 - r = n. Solve 4*k = -4*w + 32, -k + o + n = 2*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (sqrt(242) - (sqrt(242) + (-3*sqrt(242) - sqrt(242)))*-5))**2.\nAnswer: 54450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5) + sqrt(80) + sqrt(5)) - (2 + sqrt(128)).\nAnswer: -47*sqrt(2)\/6 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/3 in 1, 6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1065465 or -1065552?\nAnswer: -1065465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/5230 and -55\/2092?\nAnswer: 10460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**6\/24 + 5*n**5\/4 - 55*n**4\/8 + 85*n**3\/6 - 68*n**2. What is k in r(k) = 0?\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -197*u - 18712. Calculate k(-95).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -99744 divided by -286?\nAnswer: 49872\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35103, -35107, -35113, -35121, -35131, -35143?\nAnswer: -35157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwmwwwwwwmmwwwwwww?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 52 = -2. Let s(a) = 2*a + 14. What is the remainder when 133 is divided by s(r)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -815368963\/67 + 12170073. Let z = w + -387. Which is the third smallest value? (a) z (b) 5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 - -1 - 7 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5026539.541 to the nearest 10000.\nAnswer: 5030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5.3, 22788, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 0 (c) 2 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3642 is divided by 364?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 93*x - 465. What is t(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2 - 3 + 2 + 2 + (3 + 2 - 3)*(2 - 3 + 0))*(-7*p + 3*p + 14*p).\nAnswer: -60*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2430 and 25190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 45 + 14 = -3*v, 5*m = v + 3. Find the common denominator of -53\/3 and (11\/44)\/(v\/232).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**4\/24 - i**3\/6 + 13*i**2. Let a(x) = -x. Let h(d) = 2*a(d) + s(d). Find the first derivative of h(n) wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -10*j + 3*h + 45147, 0 = -3*j + 5*h + 45159. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7955\/115776 - -23\/4288. Let j = 45 + -32. Is v equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/7 - 146988*v**3\/7 - 5401221045*v**2\/7 + 10803030050*v\/7.\nAnswer: -v*(v - 2)*(v + 73495)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 20. Let q be (-56)\/f - (-4)\/(-6). Suppose -q*i = 5*i - 70. Calculate the remainder when 35 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/4272780 and 21\/2607800?\nAnswer: 555461400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.946702mg to nanograms.\nAnswer: 1946702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/66 and -133\/108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(13) + 0)**2 + -2 + 0 + sqrt(13).\nAnswer: -54 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3238*z - 3696*z + 19290*z + 16626*z as q*z + x and give q.\nAnswer: 35458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -35*d + 34*d for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 3948?\nAnswer: -3948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*l + 122*l = -11. Solve 2*s + l = -3*b, 10 = -6*b + 4*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 465 and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 882 = -2*m - 4*l, 3*m + 308 = -2*l - 1003. What is the hundreds digit of (m\/2)\/((-8)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6308*z**4 - 49562?\nAnswer: -25232*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*k + 5. Suppose 30*r = 24*r + 24. Solve -k = r*i - 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-6\/5)*x)\/(x*x\/x**32))**(-2\/5))**(1\/24))**(2\/75) assuming x is positive.\nAnswer: x**(-149\/11250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*p - q, -q = -4*p + 2*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131 - 18. Let h(q) = -q + 1. Let k be h(-1). Suppose 3*d - 152 = i, -4*i = -k*d - i + v. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -556.23 plus 592121?\nAnswer: 591564.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41049?\nAnswer: 3, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 632288 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 53204?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 15) to base 5\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/g**(1\/5))\/g))\/g**(-2\/7))\/(g**(3\/8)*g*g**(-1\/4))*g\/(((g\/(g*g**0))\/g)\/g)*g**(1\/3)*((g**0*g)\/g*g)\/g*g*g\/(g**(1\/2)*g)*g assuming g is positive.\nAnswer: g**(4363\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**4 + 13*j**3 + 53*j*v + 39*v + 35 with respect to j.\nAnswer: -8*j**3 + 39*j**2 + 53*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 8*f**2 - 7*f. Let x be l(-7). Find the second derivative of x*c**2 + 0*c**2 + 3*c - 2*c**4 + 0*c**4 wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2956 - -3?\nAnswer: 2959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 16*p**2 - 27*p + 95. Calculate v(-14).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 22 + 3 + (1 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*d**2 - 145*d**2 + 159*d**2.\nAnswer: -233*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6026 by 471.\nAnswer: 6026\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 169 (b) 4 (c) -5 (d) 0.07 (e) 2 (f) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**2 - 1563760*d - 1563764 = 0?\nAnswer: -1, 390941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 78.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 2*x**2 + x - 2. Let t(n) = -143*n**4 - n**3 + 12*n**2 + 56*n. Let g(j) = -6*i(j) + t(j). Find the second derivative of g(r) wrt r.\nAnswer: -1716*r**2 + 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7071214 to three dps.\nAnswer: 0.707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 3*m - 3. Suppose -3*g + 2 = -0*g - s, 0 = s - 1. Let q(d) = -d + 1. Determine g*j(f) + 4*q(f).\nAnswer: -f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + 8*a - 29 + a - 2*a - 1 + 2*a + (0*a + a + 0*a)*(-11 + 25 + 57) to the form f + w*a and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.29, 0.4, 2\/3, -1\/8368 in increasing order.\nAnswer: -0.29, -0.2, -1\/8368, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - v - 3)*(-6 + 4 + 4) - 1 + 1 - 2*v - 3*v + 0*v + v + 0*v - 2*v + 4*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-2)\/4 + 5. Let j = t - 0. Suppose 3*r = -j + 22. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 6. Let k be i(-3). Let v(q) = -q + 3. Let c(z) = 3*z - 6. Let g(d) = 3*c(d) + 7*v(d). Calculate g(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72716 at least as big as 72716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2999345.\nAnswer: 5, 599869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 + 0.01. Let v = 0.2 + -2.2. Let x = v - m. Which is the closest to x? (a) -5 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.28, 0.4, 5, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/7 - 2908*c**4\/7 + 1411346*c**3\/7 - 229573784*c**2\/7 + 454925152*c\/7 - 226759808\/7 = 0.\nAnswer: 1, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**3 - 3*w**2 + 7*w - 3. Let z = -10 + 7. Let x(v) = 5*v**3 + 4*v**2 - 8*v + 4. Let u(i) = z*x(i) - 4*y(i). Factor u(g).\nAnswer: g*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 14 (b) -2\/21 (c) 8 (d) 2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 481 - -0.5.\nAnswer: 481.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33755 and 1228682?\nAnswer: 6143410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 90 = q, 2*q - 96 = -4*i - 0*q. Suppose i = -4*x + 5*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27.1 + -27. Let u = -0.1 + -0.4. Which is the nearest to g? (a) u (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25672843 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: Express (-2 - d + 2)*((-2 + 6 - 1)*(-5 - 1 + 3) + (4 + 2 - 4)*(-94 - 308 - 30)) as x*d + h and give x.\nAnswer: 873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.4. Let d = 15.2 - 15. Sort s, 4, d in decreasing order.\nAnswer: 4, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18818, 37662, 56508, 75356, 94206?\n\"Answer: i**2 + 18841*i - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 959*o + 209. Let v be b(5). Suppose -13*h = -h + v. Round h to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 5:56 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -11. Suppose 3*v = 3*o - 69, 2*o - v - 37 - 11 = x. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 630 and 29295?\nAnswer: 58590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, v: 3, r: 1, l: 5}. What is prob of sequence va?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 50a5 - -2?\nAnswer: 50a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 74*f**2\/13 - 14389510*f\/13 - 2333436\/13.\nAnswer: 2*(f - 194453)*(37*f + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 20*b - 15. Let y(i) = 2*i**2 + 7*i + 6. Let w be y(-5). What is the lowest common multiple of k(w) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -615 - -73?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((260\/9)\/(-10))\/((-984)\/19926).\nAnswer: 117\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13898.97522 - -0.02478. Let q = 13898.88638 - c. Let h = -0.115 - q. What is h rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94 by 7449.\nAnswer: -94\/7449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:07 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1221, 9288, 31213, 73926, 144357, 249436, 396093, 591258?\nAnswer: 841861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {h: 1, n: 7, u: 1}?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243089 is divided by 847?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 72565*d**2 + 264765240*d + 10733737680.\nAnswer: 5*(d + 41)*(d + 7236)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6987 (base 11) to base 14.\nAnswer: -34b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 91475252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -15. Suppose n*o - 6*o = -64. What is the highest common divisor of o and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1131 (base 5) to base 10.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111011 - -1100001101001111?\nAnswer: 1100010001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 7?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -111299532781.2.\nAnswer: -111299532780.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 155361? (a) -6 (b) 0.08 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13526 = -19*z + 330374. What is the common denominator of 4\/7 - z\/20160 and 28\/9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 10*c - 15. Let j be (-1)\/(-2)*0 - (-14 - -3). What is z(j)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and -979.09?\nAnswer: -15665.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*x + 6. Let t be (1\/2)\/(x\/162). Suppose 0*b = 4*w - b - t, -65 = -5*w - 5*b. What is the least common multiple of 22 and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/13034228 and 23\/3807752.\nAnswer: 338889928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*n - 19 + 1, 5*n - 5*o - 40 = 0. Suppose -f + n = -1. Calculate the greatest common divisor of 55 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -15. Let u(r) = -5*r**2 - 24*r - 10. Let o be u(-7). Let a = o + 88. What is the closest to a in x, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10847970 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: Is 674 greater than or equal to 655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -787, -3095, -6933, -12301, -19199, -27627?\nAnswer: -37585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a centimeter in micrometers?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57 + (-10 - -16) - 49) + 0 + 62?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1179 and 141.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -156 - -192. Let m = k - 35. Let j be 1\/3 - (-224)\/(-744). Is m > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 12 = 0, 2*s + g = -3*s + 43. Let d = -8 + s. Suppose 5*q - 2 - 8 = d. Calculate the least common multiple of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55011*h**3 + 4 - 54997*h**3 - 3*h**4 + 110018*h**3 + 0 + 4*h**2 in the form g*h**2 + y*h**3 + w*h + f*h**4 + b and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*c - 58 = -4*b, 70 = 5*b - 5*c. Calculate the smallest common multiple of 34 and b.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001010001 - -100001?\nAnswer: 111001110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 6. Let u be (-16)\/6 - (-26)\/39. Let c be (8\/4)\/(1\/u). Calculate the remainder when 39 is divided by g(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.5 times -0.2\nAnswer: -2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m + 6*m - 5*m - 3*m to r + a*m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 158*n**2 + 1 - 3 + 173*n**2.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 11:33 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8487 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25140629411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25985, -26012, -26039, -26066, -26093, -26120?\n\"Answer: -27*z - 25958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 + 1. Let v be (6\/(-8))\/((-5)\/((-50)\/15)). Which is the closest to k? (a) -4 (b) v (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 3. Suppose 5 = -z + y. Suppose 3*s - 7*s + 252 = 0. What is the greatest common factor of s and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (35\/2)\/((-60)\/(-24)). Solve -f = 26*m + 19 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 1 = w - 5*b, -4*b - 3 = 3*w. Suppose -w*r + 0*r = -39. Suppose -3*x = -6*x + 108. Calculate the remainder when x is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1)*c*c\/c**(-2))**(3\/25))**(11\/5))**22 assuming c is positive.\nAnswer: c**(2178\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 12:33 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 - -3) - -26 - (-301 - -312)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 416*o**2*t**2 + 42*o**2*t + 7*o*t**2 - 2*o*t - 14*o - 3 wrt t.\nAnswer: 832*o**2 + 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -h. Suppose -1 = 3*p - 4*p + 4*r, 53 = 3*p - h*r. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a - 11*a**2 + 46*a**2 - 4*a - 12*a**2 + 14*a - 14*a + (0*a + 3*a - 2*a)*(-a + 0*a + 2*a) as o*a**2 + g + s*a and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 52617*i - 368330. What is g(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/43, 6\/11, -4, 0.04, 0.2 in decreasing order.\nAnswer: 6\/11, 13\/43, 0.2, 0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 1 - 5*x**3 - 4 + 4 to the form w*x + b*x**3 + m + p*x**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(10\/7)*k)\/k*(((k\/(k\/(k*(k\/(k\/((k\/k**15)\/k)*k))\/k)))\/k)\/k)\/k*(k*k*k*k*k\/k**(-3))\/((k**(-1\/7)*k)\/k) assuming k is positive.\nAnswer: k**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i - 6. What is b(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2363032229 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33647070 rounded to the nearest 100000?\nAnswer: 33600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**3\/3 + 8*n**2 + 7*n + 1493. Give r(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 + 573 = 2*j. Suppose 9*b - j + 16 = 0. Suppose -3*d + 38 = 5*r, -2*d + 7*d - r - 82 = 0. Calculate the greatest common divisor of d and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/l)**(-7\/2)*(l\/l**(-2\/21))\/(l*l\/((l*l**(-1))\/l*l)) assuming l is positive.\nAnswer: l**(275\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4763, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 220644 and 0.5.\nAnswer: 110322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5040629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 390, 0.1, 0.43, 17, -3\/5, 0 in descending order.\nAnswer: 390, 17, 0.43, 0.1, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1504 - -1510. Which is the second smallest value? (a) z (b) -7\/3 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 100*m = -z - 896, -449*z + 16 = -450*z + 2*m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p. Let v be i(-2). Let b be v\/((10\/(-3))\/5). Put 0, b, -1 in descending order.\nAnswer: b, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*u - 20 = -0*u, 3*i + 5*u - 32 = 0. Let m(r) = -r**2 + 5*r. Calculate m(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/11)\/l*l**4)\/(((l\/l**7)\/l)\/((l**(-8)*l)\/l))*(l**(-2))**(30\/11)\/(l*l\/l**(2\/5)*l)**(-2\/91) assuming l is positive.\nAnswer: l**(-1168\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (9612\/(-6718788))\/(2\/84)*(-1)\/7?\nAnswer: 2\/233","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d + 17*d + 8*d = -11*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 11*i - 13. Let s be o(-10). Is s + (3\/1 - -62) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.7. Let m = -28.6 - -27.6. Sort m, -3, w.\nAnswer: -3, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*6\/18)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -37. Let i(h) = 3*h**2 - 17*h - 12. Let s be i(z). Let r = 46375\/62 - s. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98*h**5*v**2 - 197*h**5*v + 9*h*v**2 + 171*h - 4*v wrt h.\nAnswer: 1960*h**3*v**2 - 3940*h**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 364 + -350 + -22 + 2 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, c: 4, v: 6, f: 3, u: 3, p: 1}. Give prob of picking 2 m.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 23 + 137 = 2*x, 320 = 4*h + 5*x. Suppose f + 0*f + h = 0. What is the common denominator of 504\/f*3\/(-7) and 47\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 v when four letters picked without replacement from vhhhhshhrhrshhhhhsrh?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18988 + -246728\/13. Let n = 9 - b. Put -3\/2, n, 0.2 in descending order.\nAnswer: 0.2, n, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 539823498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 5*i**2 - 1. Let w be c(5). Let s(m) = -7*m**3 + m. Let j be s(w). Let o(n) = n**3 - 5*n**2 + 2*n - 1. What is the units digit of o(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-21 + 38 + -6 + -1 - 63).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 33 = -5*n, 2*n + 44 = 4*w + 18. Calculate the remainder when (2*(-14)\/2)\/(-1) is divided by n*1\/(-2)*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 + 223b7?\nAnswer: 223a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18769*g**2\/2 + 3562*g - 338.\nAnswer: -(137*g - 26)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2 = 4*x + 7, x + 6 = 5*q. What is the remainder when 3 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-4 + 1) - -6. Let n(u) = u**3 + 3*u**2 - 7*u - 6. Let j be n(-4). Suppose -j = f*z - z. Are -3 and z equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1464 - -2193. What is the greatest common factor of h and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-196)\/168*(-6)\/(-21)*0\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10837 = -28*k + 11061 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 697969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 12:49 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, j: 3, b: 2, a: 4, u: 1, c: 2}. What is prob of picking 1 f, 1 u, and 1 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**5\/240 - k**4\/8 + 11*k**3\/24 - 152*k**2. Suppose y(q) = 0. Calculate q.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 6) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23577151.\nAnswer: 13, 1813627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10) - 6\/(-10). Let h = 888339 - 888339. Which is the second smallest value? (a) j (b) -12 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308, -2300, -7658, -18062, -35192?\nAnswer: -60728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/(-20)*15\/2. Let r be (u\/(-5))\/(2\/10). Let d = r + -11. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1090*x + 1090*x - 3*x**2 + 6*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/((x\/((x**15\/x)\/x))\/x))\/x)*x)**27 assuming x is positive.\nAnswer: x**(-297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12002010112 + 1?\nAnswer: 12002010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5292.6 - -5293. Which is the second smallest value? (a) -15 (b) 3 (c) 2 (d) -11 (e) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*a + 2 + 2, 5*a - 2*w + 8 = 0. Suppose a = 2*f - 0 + 6. Let x(s) = -2*s**2 - 4*s. Calculate x(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1799 (base 16) to base 14.\nAnswer: -22b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -237 - -331. Solve q = -5*f + 69 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*((-8)\/(-4))\/(-2). Calculate the greatest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1218 and 3480.\nAnswer: 24360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -9. Let a be (4\/o)\/((-2)\/(-18)). What is the units digit of a*((-308)\/12 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 + 0.24. Let s be ((-3)\/(-14))\/((-2)\/4). Which is the second smallest value? (a) s (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 7*f**4\/16 - 65*f**3\/4 - 75*f**2 + 34*f + 53. Factor s(h).\nAnswer: 3*(h - 20)*(7*h + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 142099 and 142100 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 581 + -566. Suppose s*y - 2372 = 2758. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 3*k + 27. Suppose -h = j - 7, -3*j - 25 = -4*h + 17. Is h smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99682 is divided by 761.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82841948*b*f + 2*b + 36766780 wrt f.\nAnswer: -82841948*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570150.191 - 62.323?\nAnswer: 570087.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740*h - 257*h - 297*h = 311*h + 9625 for h.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**1)\/(a**(7\/3)\/a)*(a**(7\/2))**17 assuming a is positive.\nAnswer: a**(367\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176 - 47 + 31 - 2*k.\nAnswer: -2*k - 192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 167309520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -4*o - 0*b + 4*b, -3*b - 208 = -4*o. What is the remainder when 217 is divided by o?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = r + 2*r - 3*k, -3*r + k + 23 = 0. Calculate the remainder when 14 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/738 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000097653 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 428, 5, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6567*b + 3282*b + b**2 + 305 + 3288*b + 462*b**3 + 106*b**3 wrt b.\nAnswer: 3408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 - 15*f + 75)*(4 - 1 - 4) + (1 - 1 - 2)*(0*f - 4*f + 3*f).\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(2) + -3 - (-2*sqrt(288)*4 + sqrt(288)))*4.\nAnswer: -12 + 344*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-372)\/1395)\/(-1*20\/45)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-507)\/52 - -8)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3886895496 to the nearest integer?\nAnswer: 62345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*j + 12 - 14.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2615419?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/(18\/61224). Let i be (3 - r)\/(4 + -26). Let j = -232 - i. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 849 - 345 - k - 232 - 359 - 173.\nAnswer: -k - 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 10. Let h be p(8). Let d be 5 + (-15)\/6*h. Factor 0*b + d + 2\/3*b**2 + 0*b**3 - 2\/3*b**4.\nAnswer: -2*b**2*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2 - 0 - 550*(-34)\/(-680)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 7 + 7 = -4*l, 4*u + 4*l + 12 = 0. What is the remainder when 43 is divided by (18 + 3)*u + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324145088.\nAnswer: 2, 47, 107761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**3 + 6*f**2 - 4*f - 4. Let n(s) be the second derivative of -s**5\/5 + 7*s**4\/12 - 5*s**3\/6 - 5*s**2\/2 - 49*s. Calculate -5*a(u) + 4*n(u).\nAnswer: 4*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20739, 41485, 62231, 82977?\n\"Answer: 20746*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -279 by 861609.\nAnswer: -93\/287203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 29 = -5*f, f = g + g + 13. Let w(c) = 2*c**2 + 4*c**2 - 3*c - 2 - c**3 - 2. Calculate the lowest common multiple of 20 and w(f).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/(i*i**(1\/3)\/i*i))**(3\/28) assuming i is positive.\nAnswer: i**(17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 + 70*y - 2450.\nAnswer: -(y - 70)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -2.5. Which is the third biggest value? (a) 2\/13 (b) f (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -1 + 1 - -3. Suppose -3*g + 4*g - c + i = 0, -3*c + 8 = -4*g. Which is bigger: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**0)**37)**15\/(((n*n**8*n*n*n)\/n)\/(n*n*n*n**(10\/3)))**19 assuming n is positive.\nAnswer: n**(1399\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2212123300 (base 4) to base 14\nAnswer: -13a61a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1833 - 1037. Let c = g - 547. Calculate the common denominator of 37\/6 and c\/9*(-6)\/20.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17808 and 5124?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6530259119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1311 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + 44 + -44\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 9. Let p = q + 17. What is the remainder when 31 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - c - 2665 = 0, -5*w + 3*c + 9529 - 2866 = 0. Is w a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/7, 45, -1\/2, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7345, -14859, -22301, -29671, -36969, -44195, -51349?\n\"Answer: 36*v**2 - 7622*v + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/12)\/x**(5\/6))**18)**(-33))**(2\/9) assuming x is positive.\nAnswer: x**121","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570710 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**5\/100 - q**4\/10 + 16*q**2\/5 + 23*q. Factor a(d).\nAnswer: (d - 4)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*h + 74928 + 7098 + 238162. List the prime factors of h.\nAnswer: 2, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -932 - -944. Solve 7*d + 5*d = g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -4) + -18 + 4 + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 145*b**3 - 45*b - 143*b**3 + 57*b + 2*b**2 + 397*b**3 in the form p*b**2 + v*b**3 + s + d*b and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-154)\/70)\/(6\/150*1).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -17. Calculate the lowest common multiple of q and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21.32, 1\/8, 3\/2.\nAnswer: -21.32, -4, 1\/8, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = 0, 0 = 2*z + z + 5*a + 1. What is the lowest common multiple of (-1)\/(-1) - (-6 - z) and 71?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*i = -2709 + 377 - 1818 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, 67, 0.1, 0.3 in ascending order.\nAnswer: -12, 0, 0.1, 0.3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11d2d - -8?\nAnswer: 11d35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 59 + -20 + -36 + -5 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Suppose -139 = 4*u - v + 87, 0 = i*u - v + 112. List the prime factors of u\/(-9) + 2\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6962*k - 6962*k + 3*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 3*g + 6 - 9 - 10 + 4*g + 10 + (5*g - 2*g + g)*(-1 + 2 + 2) - 1 + 1 - 15*g + (2 - 3 + 0)*(-1 + 2*g + 1) in the form s + v*g and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1\/4 (c) 0 (d) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847638?\nAnswer: 2, 3, 11, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.68 + 0.12. Let x = s + -0.7999998. Round x to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6883*n**2 - 4*n + 6877*n**2 + 8*n - 4*n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1258862427 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1059*k - 12231 = 235*k + 9193 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 932 = -6*a + 3*v, 4*a - 928 = -2*v. What are the prime factors of a?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23836371 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: Solve -168975 = 673*n - 177051 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15882*w**4 + 3*w**2 + 2*w + 922 wrt w.\nAnswer: 381168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -5, 0 in descending order.\nAnswer: 46, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2640 - 676 - 649 - 660 - 655 + 255*n**2.\nAnswer: 255*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/57112 and 83\/6776.\nAnswer: 399784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 19644.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*l - 30*l - 25*l)*(20 - 59 + 35 - 8*l).\nAnswer: 208*l**2 + 104*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 749*f**2 + 2 + 20*f - 17*f - 3 - 7. Let y be c(5). Suppose -y = -9*w - 3*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -10. Let a = -7\/18 + -1\/9. What is the closest to -1\/3 in 0.4, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (196*g**2 + 44*g**2 - 42*g**2)*(-4 + 15 + 3).\nAnswer: 2772*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 - 1)*(3 - 3 + 2) + 983 + 990 - 1770)*(-h**2 + 3 - 3) in the form w*h**2 + c + x*h and give w.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 4) to base 11.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + -6. Let p be (-35)\/s + (-6)\/15. Which is the third biggest value? (a) -3 (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 902732 or 902998?\nAnswer: 902732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193191283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -93916 divided by 46958?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - 4 - -1 - (-21 - 21) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 5*z**2 - 5*z + 4. Suppose 0 = 5*u - 7*u + 6. What is the units digit of y(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*l = 12, -3*x + 2*x - 3*l + 6 = 0. Let s(n) = n**2 - 4*n - 5 + 0*n + 2. What is the units digit of s(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14074 and 22246?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6)*s*s*(s*s\/((s\/(s\/(s\/(s*s*s*s**1)*s)))\/s*s))\/s*s*s*s**(-9)*s**(-1\/3))**(-8\/5))**18 assuming s is positive.\nAnswer: s**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1137807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -44*x**3 - 6*x**2 - 3*x + 3. Let w(r) = 88*r**3 + 10*r**2 + 5*r - 6. Give 10*t(s) + 6*w(s).\nAnswer: 88*s**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149784\/7 + -21398. What is the nearest to -1 in j, -13, 14?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9336536 at most as big as 9336546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -7. What is the biggest value in 2, -0.4, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1622 = c, 4*p - 6807 = -9*c + 7991. Is c > 1645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**8\/336 + p**5\/24 - p**3\/6 + 5*p. Let v(k) be the second derivative of u(k). Find the second derivative of v(j) wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589024 is divided by 17323?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129723 and 5940?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24480 - -73435\/3. Let l = -3 + 2. Let f be (l\/(-2))\/((-7)\/(-4)). Which is the nearest to -3? (a) f (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7534 = -7*t - 7499 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 919572479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1027, -2058, -3089?\nAnswer: -4120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 116366020 + -4?\nAnswer: 116366014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -8. Suppose -3*d + 4*g - 16 = 2*d, -w*d = g - 4. Which is the nearest to -1\/2? (a) -4\/9 (b) 0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 880, 3739, 8578, 15397, 24196, 34975?\nAnswer: 47734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 19, -5, 0, 2 in descending order.\nAnswer: 19, 2, 0, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = -8506604 - 100888396. Round m to the nearest one hundred thousand.\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aara when four letters picked without replacement from ararraraaa?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 12*k. Let z(o) = -2*o**2 - 3515. Calculate z(b(t)).\nAnswer: -288*t**2 - 3515","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykldldxxdxym. Give prob of picking 1 y and 1 l.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1206 and 1742?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(2*sqrt(2)))**2 - (sqrt(102)*-4)\/sqrt(6).\nAnswer: 17\/4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3526544 and 9016.\nAnswer: 24685808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**19)\/x**(2\/27)*x*x**(-1)*x**11)**(-21\/2) assuming x is positive.\nAnswer: x**(-5845\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -1\/3, 2, -0.0038?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 804 divided by 201?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(1 + 1*sqrt(175)*-1 + (0 + -1 + sqrt(175))**2 + (sqrt(175) - -2*sqrt(175)) + 1).\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-180)\/42)\/5 + -2 and -109\/26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 3*r - 16750 = 64166. Calculate the greatest common divisor of 30 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 60 (b) -2\/27 (c) 10\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, 1\/6.\nAnswer: -5, 1\/6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-70) + 28\/70. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i**2 - 314*i + 2199. What is v(7)?\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12166735 is divided by 869052.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -6. Solve -3*h - g = 11, o*g + 0*g + 25 = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -443231, -885336, -1327441?\nAnswer: -1769546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -6, -28, -76, -162, -298?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - (1 - (-2 + -502))*735\/(-147).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -42.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (57\/4)\/(42\/(-1904)). Let o = 649 + k. Solve 17 = -5*j + 5*p + 2, o*j - 2*p = -11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*y + 15*y - 46*y + 5*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34053, -33979, -33851, -33663, -33409, -33083, -32679, -32191?\n\"Answer: a**3 + 21*a**2 + 4*a - 34079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**2\/7 + 4*v\/7 - 2\/7 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.84, 0.22 in increasing order.\nAnswer: -0.84, 0.22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 15*j**2 - 316*j**3 + 328*j**3 + 18*j**2 to the form f*j**2 + a + h*j + v*j**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4841 or 1\/4?\nAnswer: 4841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 7:03 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*t = -0*t - 20, -t + 4 = 0. Let p be 169 + 2 + 3 + -6. Let q = p - 508\/3. Which is smaller: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = -o - 4, 0 = -q + 4*o - 2. Suppose -2*m = -q*b + 3*b - 163, 3*b = 2*m - 183. Suppose -3*i - 24 = -m. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-173 - -170) + ((-63)\/3 - 0)\/(132\/(-12)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 - 26*m**2 + m**2 to x + t*m**2 + z*m and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 3*p + 5*p)*(681*p + 369701*p**2 + 123*p - 369702*p**2).\nAnswer: -6*p**3 + 4824*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(5\/(-2))*(-15)\/10. Let i(k) = -k**2 - 6*k. Let r be i(-6). Suppose r = -3*t - c*n + 162, 5*n - 2*n = 15. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -432 + 629. Let t = f + -95. What is the smallest common multiple of t and 20?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10349874 is divided by 1021.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*n**3 + 123853*n - 70*n**4 - 123853*n to r*n**4 + g + u*n + y*n**2 + z*n**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.897 - -4.897. Do -300 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-179 - 337 + 134)*(34 - 34 - 12*k)*(0 + 1 - 2) to s*k + o and give s.\nAnswer: -4584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 210111 from -329.\nAnswer: -210440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 3) in base 13?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 75\/2 of a milligram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 352.97231 + -353. What is q rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -948, 282, 1512, 2742, 3972?\nAnswer: 5202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 708127815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = -36*i + 522 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -206.2 + 35.2. Let f = t + 171.000376. Round f to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/5*(-9 - -14). Let q(l) = -8*l - 3*l + 9 + l**2 + 2 - 1. Determine q(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -1)\/1 - 1\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -3*y**3\/2 - 17*y**2 - 10*y. Let l = 10 + -4. Calculate the least common multiple of d(-4) and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/15, 164 in decreasing order.\nAnswer: 164, -2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42570164 and -31636?\nAnswer: 42538528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 8*f**2 + 127*f\/3 + 35\/3 = 0.\nAnswer: -5, -7\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -10, 10742, 5, 2, -2 in descending order.\nAnswer: 10742, 39, 5, 2, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -878 + 1039. Calculate the remainder when p is divided by 44.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/5*(-10)\/4. Let q(x) = -y*x + x - 7 + 3 - 1. Determine q(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 8790*i - 17588.\nAnswer: 2*(i - 2)*(i + 4397)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3184, 6355, 9508, 12637, 15736?\n\"Answer: -l**3 - 3*l**2 + 3187*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 a, and 1 w when three letters picked without replacement from {a: 1, m: 1, l: 2, w: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 127, 173, 213, 241, 251, 237, 193?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/10 - 92945*d**2 + 42753113*d\/10 - 245827358\/5.\nAnswer: (d - 929404)*(d - 23)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/12 and -85\/202.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 519 = 25. Suppose -2*d - 4*g = 32, -3*g - 1 = 2. Let i be d*(174\/(-42) + 3). Calculate the highest common divisor of i and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -269382 divided by -19?\nAnswer: 14178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**11\/g)\/g)**(-1\/44))**(9\/13) assuming g is positive.\nAnswer: g**(-45\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-9))\/((-2055)\/4932)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0)*(5 + -6). What is the greatest common divisor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 5, -0.07, 26, 3, 3\/13, -2\/47?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**2 - 6*f**2 + f**5 + (-f**4 + 4*f**4 - f**4)*(-2*f + f + 2*f).\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11481\/3422920 - 6\/5155. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2020 - 2*a - 6268 + 2126 + 2122.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7000*m + 174982. Give u(-25).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/30*((-6)\/27 - -2). Let l(y) be the second derivative of a*y**4 + 4*y + 8\/27*y**3 + 1\/9*y**2 + 0. Suppose l(h) = 0. What is h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 688, 692, 698, 706, 716?\n\"Answer: p**2 + p + 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 10*p**2 - 10*p - 21. Let v be m(-9). Is 12 a factor of 154 - 3\/((-9)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 157.4 and -2.\nAnswer: 155.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -f + 60. Let k = -1 - f. Suppose -3*j + 5*p + 87 = 6, -4*p = -12. Calculate the remainder when j is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -140 * -21.\nAnswer: 2940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 8*c**2 - 5*c - 12. List the prime factors of q(-8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.90144541 to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 5614161?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97703953483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 0*f + 3\/5*f**5 + 3\/10*f**4 - f**3 + 45 - 3\/5*f**2. Suppose g(m) = 0. Calculate m.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 4*m + 4. Let b be u(-2). Let s(p) be the third derivative of 0*p + 0 - p**2 - 1\/9*p**3 - 1\/90*p**5 - 1\/18*p**b. Determine l so that s(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8681809?\nAnswer: 71, 122279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 756, 160, -1454, -4590, -9752, -17444, -28170?\n\"Answer: -84*c**3 - 5*c**2 + 7*c + 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 474, 764, 1126, 1560, 2066?\n\"Answer: 36*i**2 + 182*i + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19884 + 33925. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 20*m - 4. Let f be k(-7). Suppose -14 - 188 = 4*c - f*d, 4*c + 3*d + 214 = 0. Which is smaller: -54 or c?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 11:26 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + o - 4 - 0, -3*o + 6 = 4*p. Let y be (3\/p)\/((-1)\/31). Let a = -12 - y. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -6. Suppose 0 = -3*j + 2*u + q*u + 26, j - 4 = 4*u. Let k be 8\/(-14)*(-42)\/j. Solve 0 - 8 = -k*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -863.811412 to the nearest integer.\nAnswer: -864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8985584?\nAnswer: 2, 561599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*m - 4*m. Suppose 0 = -4*p + 2*p + 6. Suppose 4*n = 4*q - m, -p*q - n = -7 - 8. What is the smallest common multiple of q and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*m + 5205 + 405 = -93*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0848*-37\nAnswer: 3.1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (-34 + (63 - 81))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppkkkkkkkpkpppkpppp. Give prob of sequence pk.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-4))\/(170\/14960). Solve -4*z + m = a, 2*z = -19*a + 20*a + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u + 18 = -h, 0 = 2*u - h + 6. Let c be 190\/5 + 0\/u. Let p = c + -15. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 e when three letters picked without replacement from eeddddd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 6:17 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -393 + 279.5. Let r = -113 - h. Let m = 4 - 4.1. Which is the fourth biggest value? (a) 1 (b) r (c) 3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 + -50. Calculate the remainder when 0 + 5 - -20 - (-66)\/22 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - z. Let l(w) = -5*w**2 - 6*w - 1. Let k(f) = 6*f**3 - f**2 + f. Let x be k(1). Let o = x + -10. Suppose 3 = a + 2. Calculate a*l(b) + o*p(b).\nAnswer: -b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 19 = -5*o, -o + 15*t - 14*t = -5. Solve -w = -o*w + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13302*a**3 + 7369*a**2?\nAnswer: 79812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -1440*p**3 - p**2 + 5*p - 1. Let k be b(2). Let d = 34368 + k. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.15 + 296.85. Let i = w + -472. Let m = -176.7 - i. Round m to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 871 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 977, 3958, 8931, 15890, 24829, 35742, 48623, 63466?\nAnswer: 80265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24633310 is divided by 677?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 11*v**2 + 10*v - 14. Let z be m(-12). Is 6 + (-535)\/z*-46 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (278 + 202 - 183)*(2*w + 0*w - 5*w)*(4 - 1 - 4) in the form v + s*w and give s.\nAnswer: 891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 174 = 10*w - 15*w, 3*j - 18 = 5*j + 64 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 12) to base 2\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - -6 - (1 - 3). Let p be (4\/6)\/((-11)\/(-66)). Solve -3 = -u, 3 + 8 = -p*z + l*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 153\/18 + -9 - 276\/(-456). Let i = 44\/3 - 14. What is the third smallest value in f, -0.1, i, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 10. Which is the nearest to 0.1? (a) m (b) -1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 179*g**3 + 26*g**2 + 4*g - 1. Let n(h) = -534*h**3 - 86*h**2 - 13*h + 2. What is -10*a(v) - 3*n(v)?\nAnswer: -188*v**3 - 2*v**2 - v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16548994 is divided by 241.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*q + 3408447 = -4*q - 4842675. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*2*7\/588.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55*n**2 + 59*n**2 - 2*n + 12*n)*(0 + n + 0) + (30 - 30 + 3*n**2)*(-3*n + 4*n + 0*n) + 3 + n**3 - 3 in the form i + k*n + y*n**2 + f*n**3 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**4\/24 + h**3\/6 + 183*h**2. Let o(l) = -8*l + 1. Calculate -o(x) + 3*t(x).\nAnswer: 5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.0527 - -0.0527. Is 2\/5 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 3*l**2 - l**2 - 4*l as v*l + s + t*l**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 7*o**2 - 27 - 26*o - 7*o**2 - 22*o + 52*o. What are the prime factors of q(14)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 69?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35, 60, 115, 212, 363, 580, 875?\n\"Answer: 2*k**3 + 3*k**2 + 2*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + x**2 - x**2 + (20*x - 10*x + 13*x)*(-4 + 4 - 3*x).\nAnswer: -70*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5983*n - 860 + 15 = -5918*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + (sqrt(44))**2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31107 - 47*h**3 - 31107 + 0*h**2 + 0*h**2.\nAnswer: -47*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 3*t + 2. Let g be y(-1). Solve -3*m + g*m - 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146 - -1024\/7. What is the nearest to v in -3, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/3, -1\/2, 2\/25, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from qngsnye.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 338639.77248 rounded to the nearest 1000?\nAnswer: 339000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -435*u**4 + 25*u**3 + 2*u**2 - u + 2937552 wrt u.\nAnswer: -1740*u**3 + 75*u**2 + 4*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3821 - 0.31747. Let h = w - 0.32548. Let c = -0.26 - h. Round c to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 364574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 4 + 2\/3*g**3 + g + 1\/2*g**2. Let y be a(-1). Sort 3, -1, y in increasing order.\nAnswer: -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -19. What is the remainder when 18 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.5 times -0.3?\nAnswer: 18.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 497, 1670, 3957, 7730, 13361, 21222?\nAnswer: 31685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r + g = 47, -4*g = -5*r - 53. Let l = r + 37\/4. Is l less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1199)\/(-6) - (22\/12 + -2). Let u = f - 197. Suppose -r + 15 = -3*l, -2*l = -4*r + 114 - 24. Solve -r = -4*w - 2*t - 0*t, 9 = u*w - 3*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/5 + (-5)\/25. Suppose -4*f = -5*v - 9*f + 35, z = v + 5*f - 27. Calculate the least common multiple of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 25*a + 7. Let l(c) = c**2 - 22*c + 20. Let m be l(21). Let h be m\/2 - (3\/6 - 5). What is the units digit of d(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.306576mg to grams.\nAnswer: 0.000306576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10261 divided by -648?\nAnswer: 10261\/648","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1172\/15595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 40. Let q(u) = -4*u**2 - 5*u + w + 6*u - 3*u. Let k(p) = -5*p**2 - 2*p + 5. Calculate -3*k(f) + 4*q(f).\nAnswer: -f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*b**5\/4 - 19473*b**4\/4 - 141117*b**3\/4 - 328719*b**2\/4 - 128367*b\/2 - 12420 = 0. What is b?\nAnswer: -920, -3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(24)\/(sqrt(2)*6)) - (-5*-2*sqrt(12))**2)*1.\nAnswer: -1200 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1476*w**3 + 28*w**2 - 3*w - 91. Let q(g) = -739*g**3 - 16*g**2 + 2*g + 45. Let d(n) = 4*k(n) + 7*q(n). What is the second derivative of d(f) wrt f?\nAnswer: 4386*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14501*m*q**3 - 437*m*q**2 + 2*q**3 + 301*q**2 - 5 wrt q.\nAnswer: -87006*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 433 = 81*d + 699 + 844 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-26)*p\/(p\/(p\/(p\/(p**17\/p)))*p) assuming p is positive.\nAnswer: p**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 460 and 25?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + o + 3 = 2*o, 0 = -5*f + 2*o - 6. Suppose 10*r - 5*r = 10. Suppose r*i = -i - 3. Which is greater: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3961 - 2?\nAnswer: 3959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j*x**3 - 27*j*x**2 + j + 40*x**5 - 67*x**2 - 50555*x wrt x?\nAnswer: -6*j*x - 54*j + 800*x**3 - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*y = 14, -7 + 11 = 2*v - 2*y. Solve 10 = -2*j - 5*u, -4*j + 2*u - 2 = v*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/21 and 20\/7681263?\nAnswer: 53768841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 932 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12804 is divided by 2134?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i**2 + 4*i + 56. Determine q(-4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -6, 0.06, -2, -98, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bat. Give prob of picking 1 a and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.8 - -8.8. Let l = -0.06 - -4.06. Let s = c + l. What is the closest to 2 in 0.2, -1\/4, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2 - -1)\/(2\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 10, -2 in descending order.\nAnswer: 10, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 1\/5 (b) -3.8 (c) -13\/2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 5*f**2 - 7*f + 1. Let r be k(6). Let l be -36 + (-93)\/(4185\/(-1626)). What is the nearest to r in -1\/6, -7, l?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((1 - 1 - (1 + 3)) + -9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47728662.\nAnswer: 2, 3, 7954777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -522093*f**2 + 1513302 wrt f.\nAnswer: -1044186*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, 0.3, -72323.4?\nAnswer: -72323.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 - -115?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 30 = o + 5*w, -5*w - 3 = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1439869 and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -4*v - 18. Suppose -u + v + 55 = -x, -4*u + x + 305 = 0. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 - 1.3. Suppose -12*z + 45 + 3 = 0. Let b(c) = c**2 - 4*c - 5. Let k be b(4). Sort k, z, d in increasing order.\nAnswer: k, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5646293 and -19221.51.\nAnswer: 5627071.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 260 = 10*n. Let v be 4\/(-16) - 2*(-282)\/16. Calculate the highest common divisor of v and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2028, -4056, -6084?\nAnswer: -8112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19176*y**3 - 46170*y wrt y.\nAnswer: -115056*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0*j**2 - j**2 - 2 + 3*j**2 in the form a + v*j**2 + w*j and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -3*m. Calculate the common denominator of 137\/6 and m - -34*(-3)\/(-60).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10472095090 rounded to the nearest 1000000?\nAnswer: -10472000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 10*t = -270. Let u = t - 133\/3. Let d be 4\/6*(-1)\/3. Sort u, -5, d.\nAnswer: -5, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, 16, -82, 7, -0.3, -15 in descending order.\nAnswer: 16, 7, 3, 0.1, -0.3, -15, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7197 or 7195?\nAnswer: 7197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from fffeeeeefe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 0 + -2 - sqrt(42)\/(sqrt(6)*-2)) + 4 + 2 - ((sqrt(308) - sqrt(308)*-3)\/sqrt(11) - sqrt(28))\/((sqrt(28) + sqrt(252))\/sqrt(7) + sqrt(4)).\nAnswer: 9*sqrt(7)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = -2*j. Suppose 2*i - j*b - 7 = 1, -5*b - 12 = -i. Suppose 20 = -5*t, -i*a + 2*t - 6*t = -22. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6*u - 2*m - 1070 = 0, -2*m = -5*u - 2682. Let s = u + 557. What is the remainder when (-1 + -59)*1*-1 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -6. Suppose -w = -0*m - m. Suppose 0 = -4*n - 5*o - 0 + 23, -3*n - o + 9 = 0. Solve 5*x - m = -n*r, x - 16 = -4*r + 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 - -a866?\nAnswer: a888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 19 + 21 + 6*f as h*f + j and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00795936 rounded to four decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2276827.\nAnswer: 7, 17, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14340021 (base 5) to base 11.\nAnswer: -a4647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -40802.7004 to the nearest integer.\nAnswer: -40803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 7*g**2 - 13. Calculate w(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 415750 and 146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/5 - (-208)\/(-360). Let j = 152\/3 + -51. Which is the nearest to z? (a) 2 (b) j (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173548175 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -10700*5\/10*-1.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.971 from 0.4.\nAnswer: -0.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235824, 938617, 2109938, 3749787, 5858164?\nAnswer: 8435069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.061, 0.\nAnswer: -0.061, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1\/20, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13160000 = -4*f - 3*f. What is f rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3993) + ((sqrt(3993) - (-1*sqrt(3993) - sqrt(3993)) - sqrt(3993)) + sqrt(3993))*-4)\/(-6*(sqrt(84)\/sqrt(4))\/sqrt(7)).\nAnswer: 121*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 400196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1 - -2) + 12\/(-8))\/3)\/((-14625)\/(-2340)).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((15\/(-35))\/(1\/(-7)))\/1. Let v(m) = -m**3 - 4*m**2 - 3*m + 2. Let o be v(-3). Suppose j - o = 8. What is the biggest value in 2, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 7*o + 6. Let b be k(-6). Suppose v + 8 - 29 = b. Suppose -v = -2*u + 13. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3 - -4)*(15 - 13))\/(-22) - 884\/(-7667)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 2 + -3 + -2 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, m: 6, f: 2}. Give prob of sequence fmf.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 398 - 396. Let r(k) = 0*k**2 - 2*k**2 + 4*k**2 + 3*k**x. Let l(v) = -14*v**2. Give r(l(n)).\nAnswer: 980*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -3, -587, -4, -7 in descending order.\nAnswer: 5, 1, -3, -4, -7, -587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(140\/(21\/3))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790383.\nAnswer: 3, 11, 43, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 315131 bigger than 315102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -16, -53, -128, -253, -440, -701?\n\"Answer: -2*h**3 - h**2 + 6*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1537 is divided by -4*8\/32*-5 - (-60)\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5138*m**2 - 87*m*s**2 + 2*s**2 - 5402*s + 17 wrt m.\nAnswer: 10276*m - 87*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.099 and -27883.271.\nAnswer: -27883.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98645416 to the nearest integer?\nAnswer: 9932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 10) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert bb (base 15) to base 7.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b - 168ab2?\nAnswer: -168b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 1150676?\nAnswer: 1150683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18432.7 + 18428. What is the fourth smallest value in 0.1, 0.4, k, -2\/107?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 9:09 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:46 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 10*w**2 + 14*w - 23. Let f be p(11). Find the second derivative of -166*v**4 - v**2 + v**2 + 1518*v**3 + f*v - 1518*v**3 + 9 wrt v.\nAnswer: -1992*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(-15)\/135.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 4044000 to the nearest 100000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a**2 + 3*a - 3. Let n(g) = -8*g**2 - 4*g + 4. Suppose 0 = 4*b + b + 20. Let o = -40 - -28. Let v = 9 + o. What is b*t(f) + v*n(f)?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -44*j**3 - 5*j**2 + 5*j - 5. Is u(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -881 + 994.4. Let b = -105 + z. Let x = 8.40000061 - b. Round x to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5694\/(-49348) + 10746\/(-156)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1. Let d(r) = 13*r**2 - 65. Let z = -861 + 926. Calculate z*b(c) + d(c).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 6. Let y be f(4). Let n = 709 + -713. Let q be (n\/10)\/(y\/30). Solve -4*g + 2*g = q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*u**2 - 163*u - 18.\nAnswer: -(u + 18)*(9*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -1962043?\nAnswer: -29\/1962043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = 2*o - 114 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 551.4 - 551. Sort 0.5, 3, v, -0.4 in decreasing order.\nAnswer: 3, 0.5, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5 - 565*d**4 - 2572*d**3 - 3157*d**2 - 4*d + 1148 = 0. Calculate d.\nAnswer: -2, -1, 1\/2, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127.7 - -133. Let r = 5 - l. Let t = 14 + -17. What is the third smallest value in 5, t, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -40 + 76 + (4 - 24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q + 5*q - 9 + 4*q**2 + 9 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.05 (b) -123 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**2\/2 - 8. Let i be t(-2). Solve -4*y + 10 = -p, 1 = 5*p + i*y - 15 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from xacnxxbcbb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14075)\/16890*(2\/(-5) + -4 + -1)*-10.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2384703?\nAnswer: 3, 257, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {j: 2, c: 12}?\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 1428341700 rounded to the nearest one million?\nAnswer: 1428000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from pppqpppppqp.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1. Let c(f) be the third derivative of f**4\/8 + f**3\/3 - 213*f**2. Give 3*c(q) + 6*d(q).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n**5 + 110811*n**4 + 630954*n**3 + 1128660*n**2 + 486744*n - 265536 = 0.\nAnswer: -3688, -2, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/2961 and -74\/5229.\nAnswer: 245763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*h*k**3 + d*h*k - 3*d*k**3 - 30829*h**2*k**3 - 1126*h**2 + 4461*h*k**2 wrt k?\nAnswer: 6*d*h - 18*d - 184974*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -391728263 rounded to the nearest 100000?\nAnswer: -391700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 1:57 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 516899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 859620?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**3 - x**2 - 4*x - 3. Let a(i) = 13*i**3 - 4*i**2 - 13*i - 11. Determine 2*a(f) - 7*m(f).\nAnswer: -2*f**3 - f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 7*m - 5. Let c be n(7). Let v(b) = b**3 - 11*b**2 + 12*b - 19. Let o be v(10). Let l = o - c. Do 6 and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13028 (base 9) in base 12?\nAnswer: 50b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 24 - 8 - 11844*v + 11844*v - 2*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, -8, -0.2, 5, 42?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*q = -20*q - 87*q - 8742 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -2*p - 3. Let y be 0 + -4 + p + 30. Solve -4*x + 3*a = 26, -2*x = -3*a + 6 + y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15038 is divided by 14921.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 5*l**2 - l + 2. Suppose -3*n = -9*n. Suppose 0 = 3*o - 5*b - 15, -2*b = -n*b. What is a(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000369368 rounded to 6 dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/(-35))\/(1200\/6500).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1121 - 1100?\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3124735 is divided by 4820.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 77868, -317, 4 in descending order.\nAnswer: 77868, 4, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*a - 0*a + 3, -2*n - 1 = -3*a. Solve b + n = -2*m, -m + 9 = b - 3*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - u - 2*u)*(2 + 1 + 2 + (3 + 0 - 1)*(0 - 1 + 0)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 3.5. Let z = -15 + 17. Let t = 4 - z. Which is the smallest value? (a) 0.1 (b) i (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 = -2*p - 115. Suppose p = -3*l - 2*l. Let n = l - -19. Calculate the remainder when 3 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 - 74*j**2\/5 - 688*j\/5 - 616\/5.\nAnswer: -2*(j + 1)*(j + 14)*(j + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**2)**(-26))**19)**(-32\/5))**(-33) assuming a is positive.\nAnswer: a**(-1043328\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-140)\/140)\/((-343)\/14))\/((-3)\/(-28))?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**9\/12096 + q**8\/6720 + q**3\/3 + 4. Let z(c) be the third derivative of j(c). Factor z(d).\nAnswer: -d**4*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) 0.156 (c) -138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*b = -8*b - 22, 3*b + 6 = 0. Let f be (-5 + (-39)\/(-9))\/((-2)\/z). Solve -a - f = 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -319435 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142 - 4013957.61.\nAnswer: -4013815.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4.3. Let o = -0.8 - q. Let l = -12 + 10. Which is the closest to 0? (a) o (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 862, 1018, 1174, 1330, 1486, 1642?\nAnswer: 1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 3*h**2 - 2*h + 1. Let x be 3\/(3\/(-6) - -2). Let g be a(x). List the prime factors of (-1*3\/g)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59776593 - 1.2\nAnswer: -59776594.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -10*g**2 - 5 + g - 4 + 1 + g**3 + 2. Suppose 0 = -5*t - 4*s + 28 - 6, s - 9 = -3*t. Calculate the remainder when q(10) is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3670 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1245332556?\nAnswer: 2, 3, 13, 295663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/8 - 109989*a**2\/2 + 6049120014*a - 72581521176.\nAnswer: (a - 219972)**2*(a - 12)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/6955 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -3. Let o be 1 + a - (-5)\/(45\/36). Calculate the greatest common divisor of 8 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/30455925 and -37\/3825.\nAnswer: 91367775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + 0*k**4 + 4*k**4 + 4*k**3 - 4*k**3 - k**4 - 2*k**4 - 2*k**4 + 6*k**4 + (-7*k + 3*k + 3*k)*(4*k**3 - k**3 - 5*k**3) + 3*k**4 + 14*k - 14*k.\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/n**9)*n**(1\/16)*(n**(-2)*n)\/(n*(n\/((n\/(n\/(n*n**1*n)*n)*n*n)\/n)*n)\/n))**(-35))**(31\/2) assuming n is positive.\nAnswer: n**(-139965\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrzorzrkozrk. Give prob of sequence oko.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 406509 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, -159, -627, -1283, -2127?\nAnswer: -3159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t. Let d(r) = r - 30. Let a(q) = -d(q) - 2*s(q). Let u be a(-16). Let j = 12 - u. Let c(v) = -v**2 - 2*v - 3. Give c(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 21. Let i = 10 + q. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5237 by 5237.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -123858, -247716, -371574, -495432?\n\"Answer: -123858*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**4\/12 + 32*g**3\/3 + 733*g**2. Let o(x) = 4*x. Determine o(z(d)).\nAnswer: -8*d + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2522.5047286 + -2522.5. What is w rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, u: 2, r: 3, f: 8, b: 1, e: 3}. Give prob of picking 1 l, 1 u, 1 b, and 1 f.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-7)*(-8382)\/97790?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -13)*(34 - (-20118)\/(-588)). What is the smallest value in 55, z, 1\/4, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*c - 2 = 0, 2 = 5*g - 5*c + 7. Let w be g - 1*2*-2. Suppose 32 = 2*x + 4*n, w*x - x - 34 = -5*n. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 834 and 10576232?\nAnswer: 31728696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 237 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 324\/(-2496)*71 + 9 and -87\/128?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(3\/(-2)))\/(-33*(-10)\/825).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 93*w**2 - 7*w + 578. Let g be r(-11). Calculate the highest common divisor of g and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2176 + 55?\nAnswer: 2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3462\/11 or 3?\nAnswer: -3462\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21100 - -1?\nAnswer: 21101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25968.\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 688, 800, 988, 1252, 1592, 2008?\nAnswer: 2500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67788, 135800, 203820, 271848, 339884, 407928?\nAnswer: 475980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(432)*1 + (-3 + 2*sqrt(3))**2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 0.9\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-10 - -17 - 11)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135945 to the power of 1\/2, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p - 18 = -2*g, -g = -2*p + 9. Let a be (-3)\/(p\/(-8)*3). Suppose u = -a*l + 42, -l - 191 - 30 = -5*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/26170459?\nAnswer: -2\/26170459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**10\/75600 + p**6\/90 + p**5\/30 - 3*p**2. Let l(i) be the third derivative of w(i). What is the derivative of l(k) wrt k?\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = -3*h + 2400. Suppose 3*o - 27 = 2*j, -2*j - 2 = 4*o - 2*o. Let y be (2\/j)\/(3\/(-135)). Calculate the highest common factor of h and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38*-3.6\nAnswer: 136.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 5913 + 935 = 0. Which is greater: -263 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + (-1 - -5) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -12*w - 1\/8*w**4 - 3 + 3*w**2 - 3\/4*w**3. Let f(l) = 0. What is l?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (2 - (4 + -31)). Suppose k - 10 = -k + 5*m, -4*k - 5*m = 10. Let d = f - k. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48 - -56) + (354\/14)\/(-3) - 4580\/(-10360).\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*o = 123*o - 37881. Is o a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*m + 10590 - 2702. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3 = -11. Let c be (-20)\/x + -7 + 4. Solve -10 = -5*n - m, c = 4*n + m - 0*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 4*m - 2. Let w be 10\/3 + 4\/6. Let x be g(w). Which is greater: -3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 - w**2 + 2*w**2 + (11 - 25 - 28 - 6)*(w - 7*w - 3*w)*(-w + 5*w - 2*w) to o*w**2 + c + h*w and give o.\nAnswer: 860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 158 (b) -7 (c) -109\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 63 * 0.024\nAnswer: 1.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, 10, 21, 34, 49, 66?\n\"Answer: f**2 + 6*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 709 + 263. Calculate the highest common divisor of q and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3324515?\nAnswer: 5, 563, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 763544.2 litres in millilitres?\nAnswer: 763544200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 + -85. What is the remainder when -4*(-3)\/(-6) + 52 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4154, 7930, 11712, 15500, 19294, 23094, 26900?\n\"Answer: 3*a**2 + 3767*a + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-24)*1*14\/(-35).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 43. Which is the biggest value? (a) 3\/8 (b) 2\/11 (c) -3\/4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 3.894271.\nAnswer: -1.5577084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (-127)\/(-4) + (1 - 9\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 2 - 2)*(-2*z + z + 2*z) + (1 - 2 - 1)*(-7*z**2 - 10*z**2 - 13*z**2) to s + r*z**2 + p*z and give r.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 61149 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/9, 1\/4, 1075?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6412984 by -9007.\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/17))**50)**(-4) assuming x is positive.\nAnswer: x**(-400\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 358 and 4166941?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 + 7.92. Let s be (-8 - -5)\/(3 + -4). Which is the closest to i? (a) 2 (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 6*a - 5*h - 75, 3 = -3*h. Let c = 10 + a. Let q be (-1)\/c - (-60)\/16. Solve -t = -q*t + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 951704, 1903410, 2855116?\nAnswer: 3806822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182225 is divided by 85?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36076, -36062, -36048?\nAnswer: -36034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -424103372*m**2 - 64769005 wrt m.\nAnswer: -848206744*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 97.84? (a) 45 (b) -4 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7414\/(-572) + (2 - -2) + 9.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**3 - 40*u**2 + 162*u - 180 = 0.\nAnswer: 2, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 306371.3l in millilitres?\nAnswer: 306371300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1382, -1391, -1414, -1457, -1526, -1627?\nAnswer: -1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -20113321144?\nAnswer: 20113321200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*f**3 + 148*f**3 - 599*f**3 + 151*f**3 + 151*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3169487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-14))\/(160\/560)*1834. Calculate the greatest common divisor of 393 and d.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1538 - -1539.8. What is the biggest value in h, -14, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {a: 4, f: 10, m: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.723229kg?\nAnswer: 5723.229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*p = 2*p - 172, -p = 4*z + 667. Let j = z + 173. Solve -t = -w - j + 2, 0 = 2*t - w - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1231, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 12) in base 11?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*d**3*j - c**3*d**2*j + 3*c**3*j - 11240*c**2*d**3 + c**2*d*j + 2*c**2 + 8*d**2*j - 6*d*j wrt d?\nAnswer: -12*c**3*j - 67440*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306425?\nAnswer: 5, 7, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -8*f - 3*f**2 + 0 - 1\/3*f**3. Give j(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*l + 22*l - 7*l)*(-l - 2 + 2) + 235*l**2 + 47031*l - 47031*l to r*l + y + h*l**2 and give h.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d**3 - 41480*d**2 + 18838*d + 22620 = 0. Calculate d.\nAnswer: -6\/11, 1, 1885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**6\/1020 - 7*o**5\/510 - 11*o**4\/204 - 5*o**3\/51 + 6*o**2 - 59*o. Let t(n) be the first derivative of v(n). Factor t(p).\nAnswer: -2*(p + 1)**2*(p + 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 12, d: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -1 - (-13 + 1 + 10 - -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0981257 millilitres?\nAnswer: 0.0000981257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/40)\/((-1)\/(-2)) - -3.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.4 + 30. Let z = l + 0.4. Let g = -2.984 + z. Round g to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19520 is divided by 42.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 13*i**4\/3 + 61*i**3\/6 - 38*i + 15. Let u(o) be the first derivative of k(o). Find the second derivative of u(a) wrt a.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - 16. Let k = 31 + l. Suppose k = 2*j - n - 0*n - 29, -2*j - 5*n = -47. Is 16 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/20)\/((-3)\/(-8)). Suppose -5 = -5*h - w, d*h + 0*h + 11 = -3*w. Suppose -7*u + 3 = -4*u. Solve h*q + 1 = -u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t - 12. What is the lowest common multiple of w(8) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3636 and 1195416?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*y + 84, 0*y - y = 5*k + 140. What is the smallest common multiple of k\/(-12)*6 + -4 and 46?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 57.\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*d - 137*d = -216*d + 2046 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - j**2 - j - 77. Give m(0).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 4*y**2 + 3*y. Let t be o(4). Suppose w - t = -4. What is the smallest common multiple of w and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, -578, -164.\nAnswer: -578, -164, -10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14556 (base 7) in base 8?\nAnswer: -7733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + -28. Let c be 3 - j\/((-13)\/(-6) - 2). Suppose -5*b + x + 435 = 2*x, -3*b = 2*x - c. Is b a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1703 + 6861\/4. Let i = l - 237\/20. Which is the closest to -0.2? (a) 3 (b) 7\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91739760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 180434 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 u when three letters picked without replacement from qnqqnvqu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 5*w**3\/6 - 40*w + 116. Let s(t) be the first derivative of u(t). Let d(z) = 3*z**2. Calculate d(s(l)).\nAnswer: 75*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**3\/6 + r**2 + 13*r. Let x be n(1). Let g(u) be the second derivative of u**3\/2 - 3*u**2\/2 - 3*u. What is g(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 189453642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -5327\nAnswer: 4\/5327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*v**4 + 4 - 6 - 15 wrt v?\nAnswer: -72*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3854*p**2 - 11576*p**2 + 3851*p**2 + 3849*p**2.\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1822*x = -1817*x - 1710. Is 57 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 600\/(1\/(4\/6)). Let s(a) = a**2 + 4*a - 4. Let y be s(13). Let w = g - y. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2311163*i**3 - 3539307*i wrt i.\nAnswer: -13866978*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 1, o: 1, w: 4, x: 4, h: 7}. Give prob of sequence hv.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5.6 * -42\nAnswer: -235.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, g: 1, v: 4, y: 2, r: 3}. What is prob of sequence brbv?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 1 + 3. Let b = -1957 + 1909. Is 10 a factor of ((-800)\/b)\/(z\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680*o = 682*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.4, 3, -1.84, -2.\nAnswer: -2, -1.84, 2\/7, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 72*m - 73*m + 5, 0 = 2*g - 5*m + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*o - 205, -7 = -3*o - 22. Let n = -27 - -29. Suppose 10 = -n*s + 3*s. What is the greatest common factor of u and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c + 4. Let z be f(2). Which is greater: 11 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2680 + 2680. Solve 4*s - 5*d + 9 = b, 4*d - 2 = -s - s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*f - 18, -z - 3*z + 2*f + 38 = 0. Suppose 9*a - 5*a = 16. Calculate the remainder when z is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -2. Suppose -237 = -k*o - 4*r + r, 2*r = -3*o + 143. Calculate the highest common factor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*x**2 - 106*x**2 - 103*x**2 + 2 - 4.\nAnswer: x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 9:48 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.015501016 - -0.01549. What is k rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11245*g**2 + 327 - 3793*g**2 - 327.\nAnswer: -15038*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*3\/(-2)*-1. Let z = -8 - d. Which is greater: z or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**4\/7 + 90*z**3\/7 - 363*z**2\/7 - 2106*z\/7 + 2376\/7 = 0?\nAnswer: -33, -4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c + 17 - 48 + 185 = 0. Let t(d) = 2*d**3 + 12*d**2 - 11*d - 4. Calculate t(c).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22064.\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 7*x - 3. Suppose 0 = 3*z - 0*c + c - 22, -1 = -c. Let s be k(z). Let j be 1*s\/((-9)\/3). Solve -j = -n + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2995 minus -0.1?\nAnswer: -0.1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 3572240*q**2 - 7144495*q + 3572250.\nAnswer: 5*(q - 1)**2*(q + 714450)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 5*a**2 - a**2 + (2*a + a - a)*(0*a + 2*a - 4*a) + 3*a**2 - a**2 - a**2)*(-34*a**2 + 264*a - 264*a).\nAnswer: 306*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*12\/8)\/((-34515)\/(-3068))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/4 - 285*s**4\/4 + 4143*s**3\/4 + 43309*s**2\/4 = 0.\nAnswer: -7, 0, 23, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 - -1.7. Which is the closest to 0? (a) -3\/8 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155251 > 155250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 - 1.87. Let l = a + 3.5. Let r = l - 1.5986. Round r to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 2*q + 3. Let d(o) = -8*o**2 + 12*o - 75. Let b(x) = -d(x) - 7*s(x). Give b(23).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 359 + 431 = 0. Solve 535 = k*h + 591 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 1359 - 1377 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57333, -72135, -86937, -101739?\nAnswer: -116541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128459?\nAnswer: 19, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/4*q**4 + 0*q + 0*q**2 + 0 + 3\/2*q**3 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7705*b**3*d + 3*b**3 + 16*b**2*d - 2*b**2 - 5*b*d - 19628*b + 3*d + 17 wrt b.\nAnswer: 46230*b*d + 18*b + 32*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u - 4. Let k be 2\/u*-1*2. Let l = 278 - 557\/2. Which is the smallest value? (a) -0.2 (b) l (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/7 - (-11)\/((-308)\/(-15)). Which is the closest to -2\/7? (a) 0.2 (b) m (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v - 10. Let d be h(-5). Suppose -5*p = -13 - 12. Calculate the greatest common divisor of p and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(99) + 0))**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 0.5, -0.3, -1\/4, -3, -166?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -68*b + 5. Let m(p) = 27*p - 2. Determine -3*l(s) - 8*m(s).\nAnswer: -12*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -47493.\nAnswer: 142479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 73943934?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/11 - 1132*o**2\/11 + 359941*o\/11 - 21662862\/11.\nAnswer: (o - 527)**2*(o - 78)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33651810 divided by -30.\nAnswer: 1121727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3\/7 (b) -1 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036822 is divided by 19562?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a minute in seconds?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -2\/15, 2, -20, -0.4, 4\/7, 3377?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -4*v + 3*p, 36*p + 15 = 5*v + 41*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 364131*h**2 - 8*h - 6262 wrt h.\nAnswer: 728262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8616 + 29308. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:08 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a (base 13) in base 5?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/9))\/w*w*w*w**(2\/13)\/w*w\/(w**(-3\/2)*w)*w*w*w*w*w*w**5*w*(w**(2\/5)\/w)\/w**(-1\/9)*(w*w**(2\/7))**49 assuming w is positive.\nAnswer: w**(9887\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166121309 to the power of 1\/2, to the nearest integer?\nAnswer: 12889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4095*f = 4080*f + 45. Put -1\/2, -2\/3, 0.5, f, 1.3 in descending order.\nAnswer: f, 1.3, 0.5, -1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v**2 - 2*v - 5. What is p(-4)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1016152593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 27 - 102 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 375547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 8a5a09?\nAnswer: -8a5a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -533.5576 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/19, -0.1, 5, -4, -0.47 in ascending order.\nAnswer: -4, -0.47, -3\/19, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1539*-0.87.\nAnswer: -1338.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -718 - -1370. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/6)\/((-4)\/6). Let m be (-1)\/(-5)*5 + o. Put -5, m, 2 in decreasing order.\nAnswer: m, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80954856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**4\/22 - 6*l**3\/11 - 24*l**2\/11 - 40*l\/11 - 43. Factor s(p).\nAnswer: -2*(p + 2)**2*(p + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1001.258816 - -1077.6268. Let d = -75.768 + o. Let i = d - 0.6. Round i to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4816)\/(-126420)*45\/(-42)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**4\/6 - h**3\/6 + 3*h**2\/2 - h. Is t(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43705 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -2*sqrt(1872) + (sqrt(1872) - (5 + 1*sqrt(1872))))*2*-4)**2.\nAnswer: 27648*sqrt(13) + 484416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-7)*1\/(-3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97315?\nAnswer: 5, 19463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 5. Let r be w(-8). Solve y**r + 0 + 6*y**2 + 2*y**3 + 0 - 3*y**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/3)\/(3\/(-4)). Let g(c) be the first derivative of c**2\/2 + 12*c + 2. Let a be g(-7). Sort f, 0, a.\nAnswer: f, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c + 3. Let n = -205 - -208. Determine p(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 492*i - 4798. Calculate the remainder when v(10) is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 9*q - 2479896278 + 2479896278 - 9*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49300 and 162516.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 85 - -183?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/((-2)\/(-4)). Suppose 4*s = 19 + t. Suppose 0*b - 95 = -s*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 195\/135*3 + -8 + 1?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*a**4 - 7*a - 3 + 1 + 5*a**4 - 20*a**4 in the form x*a + l*a**2 + z + i*a**3 + d*a**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/1)\/2*(-154)\/42?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3267*h + 134129. Calculate s(41).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*s = s - 140, 5*w - 260 = 5*s. What is w rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 - 75. Let n(w) = -w. Let g(d) = 4*d. Determine m*n(s) + 2*g(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-219)\/(-11315)*-31*(-20)\/(-87)?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.188 and 14?\nAnswer: 2.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2548 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btbbffbtafbbtaa. What is prob of sequence bfaf?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Let v(r) = 4*r - 3*r + l*r. Let y(h) = 37*h - 20*h - 15*h. Calculate y(v(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1284*n - 45. Does 33 divide v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 390675350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -13. Let c(q) = -q**2 + 8*q - 3. Let r be c(f). What is the highest common divisor of r and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8157 less than -95781?\nAnswer: -87624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*s - 74*s - 34*s - 182*s.\nAnswer: -189*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2048 + 2161. What is the remainder when j is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*q + 0*q - 2*q)*(-1 - 2*q + 1) + (-q + 4*q - 2*q)*(-6*q + 4*q + 4*q))*(11*q**3 - 11*q**3 - 9*q**3).\nAnswer: -54*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1336852 divided by 334213.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9 = 5*b. Suppose s = -b*s. Suppose 2*r - 11 = -3*q - s*q, 8 = 3*q - r. Calculate the highest common factor of 2 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*a**2 - 3*a**2 + 7*a**2 + (3 + 2 - 3)*(0*a**2 + a**2 + a**2) + 2*a**2 + 3*a**2 - 4*a**2 + (0*a - 2*a + a)*(3*a - 2*a - 2*a) + 1541 - 1541 - 145*a**2.\nAnswer: -146*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 2019?\nAnswer: 2018.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 48 + 35 + 13209*c**2.\nAnswer: 13209*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*d = 1, -5*h + 7 = -10*h + 4*d. Let j be 856\/4708*(-11)\/6. Which is the closest to -2? (a) 24 (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003131571 rounded to five dps?\nAnswer: -0.00313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -23?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 + 2*k - 1. Suppose 4*a + 20 = -4*i, -4*a + 4*i + 9 = 29. Let m = 2 - 8. Let t = a - m. Calculate p(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1 + 4 - 2*c - 5 - 30*c**2 + 41*c**2. Is i(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (675\/1620)\/(-4 + 427\/63).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 13116217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7*(-1 - (-12)\/21). Suppose m*p**3 - 7*p**2 + p**2 + 6*p**2 - 3*p**2 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 11\/2*y**3 + 0*y**2 + 17\/4*y**4 - 2*y + 27. What is the second derivative of m(t) wrt t?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6250, -6487, -6726, -6967, -7210, -7455, -7702?\n\"Answer: -y**2 - 234*y - 6015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 173*k - 344. Calculate the least common multiple of p(2) and 696.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyooyoyyyyyy. Give prob of picking 1 y and 2 o.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/(a\/((a*a\/a**6)\/a))))**(-25)\/((a*a**(-1\/35))\/(a*a**(-5\/3)*a*a)))**(14\/3) assuming a is positive.\nAnswer: a**(-26174\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3852 + -3859. Let n(g) = -g**2 - 5*g + 9. What is n(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41154644, -41154645, -41154644, -41154641?\nAnswer: -41154636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.091945069117 less than -13?\nAnswer: -12.908054930883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2 + 1277132 + a**2 + 4*a + 7*a - 3*a - 1277125 - a**3. What is h(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v)**(-33)*(v**2)**14)\/((v**(-7)\/v)\/v**(-3))**1 assuming v is positive.\nAnswer: v**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/6*(-1 + -11). Let x be 1\/3*z\/8. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/(v*(v**(-18)\/v)\/v)*v)\/v**(9\/4))\/(v**(-34)\/(v\/((v*(v*v**28\/v)\/v*v*v)\/v))) assuming v is positive.\nAnswer: v**(107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -9*g**2 + 9*g + 9. Let w(r) = 22*r**2 - 29*r + 28*r - 21*r**2 + 6 - 7 - r**3. Determine j(o) + 9*w(o).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149 - 149.1. Suppose 3*n - 5*n + 3*v - 19 = 0, 0 = -5*n - 2*v. Let k be (-5)\/(-5)*(-1 - n). Which is the second biggest value? (a) -3\/4 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 27. Is y equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -16*f**2 - 10*f - 34. Let o be p(-11). Let a = 3164 + o. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(200) - (sqrt(200) + (sqrt(200) - (sqrt(200) + -3*sqrt(200))*5)))*3)\/(((1*sqrt(240) + sqrt(240))\/sqrt(8))\/sqrt(3)).\nAnswer: -33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3) - (8624\/546)\/(-14)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 79 = -u - 0, 0 = -i - 3. Let d = u - -74. Let j be d\/(-2)*4\/19. Which is smaller: -10 or j?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**4)\/(s\/(s*s**(2\/47)\/s)))\/(((s\/(s*s\/s**(2\/3)))\/s)\/s)**36 assuming s is positive.\nAnswer: s**(3762\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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 f(x) be the third derivative of -x**6\/40 - 4*x**5\/15 + 89*x**4\/24 - 15*x**3 - 2516*x**2. Factor f(d).\nAnswer: -(d - 2)*(d + 9)*(3*d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 + (-90 - (-31 + 29))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29.65058 nanograms?\nAnswer: 0.02965058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4 - 105*q**2 + 37*q - 32*q + q**3 + 97*q**2. Let o = -1 + 10. Suppose -47 = -5*b - 4*t, 0 = -4*b + 2*t + o + 13. Give w(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*h + 13009 = 0, h + 3*h - 6512 = 2*y. Let l = 26055\/8 + y. What is the common denominator of l and 79\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1babba (base 12) to base 16.\nAnswer: -7913e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1592371240 to the power of 1\/2, to the nearest integer?\nAnswer: 39905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 300435, 600911, 901385, 1201857?\n\"Answer: -d**2 + 300479*d - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 - 24*r**3 + 129*r**2 + 330*r.\nAnswer: -3*r*(r - 5)*(r + 2)*(r + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-1))\/3 - -2. Suppose -d + 5*m + 34 = -p*m, 0 = -4*d + 5*m + 76. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 - 3142*c\/7 + 3144\/7.\nAnswer: -2*(c - 1)*(c + 1572)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c + 4. Suppose 2*m - 4*y = 7*m - 9, 0 = -m - 5*y + 6. Let h be j(m). Find the first derivative of 5*p**3 - h*p**4 + 11 - p**4 - 5*p**3 wrt p.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*u - 3723 = -1297*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 9 - (-14 - -12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 265 - 181. Suppose 278 = -0*j + 2*j. Let m = j - g. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -116\/17 (b) 23 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-6))\/(38\/3). Let r = -70.5 + 91. Let x = r - 20. Which is the closest to -3? (a) 5 (b) x (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2 + (sqrt(156)\/sqrt(3))**2 - (((sqrt(130)*1 + sqrt(130))\/sqrt(10) + sqrt(13))**2 + 1)) + 0).\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10*y**2 - 7. Let d(p) = 3*p**2 - 2. Suppose 2*w = 0, 4*w + 7 = -5*n - 28. Let q(r) = n*d(r) + 2*m(r). Let j(x) = -21*x**2. What is q(j(a))?\nAnswer: -441*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -256\/209? (a) -42.8 (b) -0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 65*t + 34. Let y be p(-2). Find the common denominator of (y\/(-80))\/(14\/85) and 17\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43032682 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -14*(-10 + 414\/42)*2. Solve 8*p = 4*p - 3*q - 2, -t*p = 4*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - 14 - 16 + 2*i)*(-1 - 4 + 0) as m*i + c and give c.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -792 and 175 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24420*w**2 - 128467*w**2 + 3*w - 3*w.\nAnswer: -152887*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20464*z**5 + 506*z - 22 wrt z.\nAnswer: -409280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 r when three letters picked without replacement from aaairkrararrrr.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.670004 + 28.3293. Let j = -6.9593 + c. Let b = j - -0.3. Round b to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*b + 411, 3*u + 3*b - 2*b = 606. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 11. Let q be u(-9). Suppose -4 = q*d, 0 = -4*p - 3*d + 63 + 103. Suppose a = -4*j + 47 - 17, 5*j = -4*a + p. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9 times 4273835?\nAnswer: -25215626.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t. Let o(g) = -2*g**4 - 2*g + 7. Let x(c) = -o(c) - 2*p(c). What is the first derivative of x(b) wrt b?\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2 + a + 90 = 0.\nAnswer: -9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/7 + -106\/21. Is -4 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*b - 30555 = -31067 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 39. What is the units digit of -56*(-4 + j + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, s: 2, l: 1, z: 3, g: 4, n: 4}. Give prob of sequence ls.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 222000100010?\nAnswer: 222000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62339 or 498705\/8?\nAnswer: 498705\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*b = -3, 5*o - 4*b = -9*b. Solve 4*a - 1 = 2*x + 5, 4*a - 5*x + o = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17, -23, -133, -349, -707, -1243, -1993, -2993?\n\"Answer: -6*j**3 + j**2 - j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddbxwvc. What is prob of picking 1 c, 1 w, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -42*v - 320. Calculate f(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -3\/2, 0.3, -180, -2, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**3 + 51495767*l**2 + 159498986 wrt l?\nAnswer: -3*l**2 + 102991534*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 0. Let i(d) = 2*d - 4. What is the least common multiple of i(6) and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + ((0 - -12) + -1 - (5846 + -5831))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95\/8 + 27\/8. Let d be ((-28)\/10)\/((-24)\/(-70)). Let z = y - d. What is the smallest value in z, 0.5, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, -2\/43, 98, -0.4, 0.224?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4138e (base 15) in base 3?\nAnswer: -101111111222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 107 = 315 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.25 and -42.\nAnswer: -44.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 20\/32941?\nAnswer: 20\/32941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 18 - 392812*r - 10.\nAnswer: -392812*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -198.809364 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*m - 7*m - 55 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2. Let s(h) = -2*h - 498. Calculate g(s(y)).\nAnswer: -8*y**2 - 3984*y - 496008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3*k - 10 = -33, -2*m = 3*k - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 + 3198*f**3 + 1704534*f**2 + 302838874*f.\nAnswer: 2*f*(f + 533)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5712.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, t: 3}. Give prob of sequence ts.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2678 times 0.2\nAnswer: 535.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (100\/(-3))\/2*(-24)\/16. Is (-3)\/15 - (-855)\/v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 6*o = -32*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(91)\/(sqrt(7)*-1) - (-4*sqrt(117))**2) + (-5 + sqrt(1872) + 2)**2 + 5).\nAnswer: -56 + 292*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 919 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:18 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ee21c + 5?\nAnswer: ee222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1498 + -8.0398. Let c = -1.59 + 1.7. Let w = d - c. What is the second biggest value in w, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36306*c + c**2 - 36306*c + 17 to the form f + g*c + k*c**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qi when two letters picked without replacement from {m: 1, i: 3, q: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613 = -3*f - 2*m, -3*f + 9*m + 588 = 6*m. Suppose 4*q - 3*d - 204 = d, 0 = -4*q + 5*d + f. Calculate the remainder when 144 is divided by q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 3 + 11 + -2. Let f = z - 13. Solve f = -5*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((b**3 - 4*b**4 - b**3)*(-2 + 0 + 0) + 5*b**2 - 9*b**4 - 5*b**2 - b**4 + 2*b - 2*b)*(-4 - 1 + 4).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140*a*v**2*w - 15*a*w - v*w - v + 2*w wrt v?\nAnswer: -280*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14 and -0.4.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Suppose -4*p = -3*g - 5*p + 226, 5*p = -2*g + 129. Let f = 78 - g. Let o(k) = -7*k - 2. Calculate f*o(m) + 6*r(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375197 and 21479?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36951 is divided by 84?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.28, 2\/59, -4, 0.3?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -53*u + 211. Let b be d(4). Let a(g) = 16*g + 1. Let s(p) = p - 1. Give b*s(m) - a(m).\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 493, 101, 9 in decreasing order.\nAnswer: 493, 101, 9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f - 2324 = -2*f. Calculate the remainder when f is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 302.8 + 68.2. Let k = 371.2 - r. What is the fourth biggest value in -3, -0.06, k, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/810 and -44\/9.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6 + a + 5*a - 8 - 7*a. Let h be o(-14). Let t be ((-15)\/(-90))\/(2\/(-6)). Is h at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.709 + -1.709017289. What is a rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32125, 31889, 31495, 30943?\n\"Answer: -79*q**2 + q + 32203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -10*l + 32. Suppose -1 = m - 5. What is the smallest common multiple of (-26)\/l + 16\/(-64) and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 3. Let k be o(2). Let j = 29 + k. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3 + 402*h**2 - 660075*h - 14684274 = 0. What is h?\nAnswer: -531, -22, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:29 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6385276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**5\/3 - 13*b**4\/3 + 11*b**3\/3 - b**2 = 0. What is b?\nAnswer: 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -874\/9 greater than -96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from {a: 4, g: 9, w: 6}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 3541640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3239578?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 10*p**2 - 12*p + 22. Let v be y(9). What is the nearest to -16 in -0.5, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29168 and 10635382.\nAnswer: 3646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -4 (b) -16.57 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(1\/8)))\/x)\/x**13*(x\/(x*x**(2\/11)))**32 assuming x is positive.\nAnswer: x**(-1733\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**4\/24 + d**3\/6 - 188*d**2 + 2*d - 6. Let w(h) = 3*h + 7. Let u be (-14)\/4 - 1\/2. Determine u*j(q) + w(q).\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.08 (b) -0.03 (c) 3\/280 (d) -1 (e) -3\/5 (f) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 277319286*m**3*x + 719507*m**3 + m*x + 50*m wrt x.\nAnswer: 277319286*m**3 + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27365 and 3034?\nAnswer: 83025410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/440)\/((-27)\/3870)?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 16226.\nAnswer: 178486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1088466 - -2176933\/2. Factor v + 7\/2*k**2 + 4*k.\nAnswer: (k + 1)*(7*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 4, 2 = 1702*g - 1705*g - 8*y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v**2 + 1 - 51*v**2 + 1 - 105*v**2.\nAnswer: -137*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 81?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkak when four letters picked without replacement from {a: 3, b: 1, k: 4, q: 10}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -106*i + 1539 - 217*i - 1333. Is f(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -310*o + 1863. Let b be h(6). Let a(s) = 96*s + 14. Let x(w) = 19*w + 3. What is b*a(l) - 14*x(l)?\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2095 is divided by 1042.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -614 + 621.81. Round m to one dp.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27591149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137242.\nAnswer: 2, 7, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -4, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 3:00 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11596757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 8*k + 14. List the prime factors of v(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 10 = 2*z - z, -3*o = 5*z + 34. Let l be ((-8)\/(-5))\/((-2)\/10). Let j(f) = f + 13. Let q be j(l). Sort z, 3, q in descending order.\nAnswer: q, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**2 + 0 - 1\/12*j**5 + 0*j**3 - 1\/24*j**4 + 0*j. Find the second derivative of q(z) wrt z.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-9))\/(4*2\/12). Suppose -v*p = 2*p + f - 228, 0 = -f. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 0, -1\/14, -1\/2, 42\/13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.1, -69, -9, 2\/15, -37 in increasing order.\nAnswer: -69, -37, -9, -1, -0.1, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Suppose -95 = -l*q + 13. Suppose -q = -3*w - w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from qkbkvkkbkkkb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -24*c**2 + 28*c**2 + c**3 + 1 + 4*c - 9*c**2. Calculate z(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25469*f**3*j**3 - f**2*j**3 - 138*f**2 - 9 wrt f.\nAnswer: -152814*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 87787284 times -4\nAnswer: -351149136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-72))\/((-4)\/8*(-4)\/8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.8, -0.2, 8\/259, -4, 137 in decreasing order.\nAnswer: 137, 7.8, 8\/259, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5010 in 1\/42, 20, -2\/9, 2, 0.3?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*u**2 + 0*u**2 - 18*u**2 - u + u - 2*u**2 + (-2*u**2 - 3 + 3)*(5 + 0 - 4).\nAnswer: -42*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -30 - -17 - (-1 + 3) - -7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5, -5*f = g - 804 - 6. Let w = f - 103. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 354, -2046, -2 in descending order.\nAnswer: 354, -2, -2046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - n + 23 = 0, 2*k - n = n + 42. Let q = k - 34. What are the prime factors of 26 - (-4)\/(q\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6*u = -2*u, w = -4*u - 10. Let h(t) = -3 - 7*t**2 - 9*t - 5 + 11*t**2 - 3*t**2. Let o be h(w). Solve -10 = -2*b, 2*b = -o*m - 2*b + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -273*v + 676. Let t(l) = 16*l - 39. Let c(m) = -52*t(m) - 3*x(m). Let f be 1\/(-3)*36\/(-2). Let g(d) = -f*d + 3*d + d. What is c(g(u))?\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = 0, -2*o = -o - 4*f - 76. Let a = o - 383\/6. Find u, given that 0 - 1\/3*u**2 + 1\/6*u + a*u**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963 a factor of 101678355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*d - 4 + 4)*(-3 + 1 + 1) - 2*d - d - 2*d)*(-28 - 19 + 4) in the form a + s*d and give s.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 3:52 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 203*y**3 - 19 - y + y**2 + 19. Is w(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -47*v**3 - 2*v**2 - v + 2. Let t be l(-1). Suppose -5*s = -3*k + t - 234, -3*s = -3*k - 108. What is the remainder when 123 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31561 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - 6*v + 6*v**2 + 18*v**2.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 150361237 + -150361235.74000113. Let b = k - 1.26. What is b rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1575\/11 + 2\/(-11). Calculate the common denominator of q\/20 + 66\/110 and -4 + (2 - 3) + 624\/114.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**2 - 171*t - 42.\nAnswer: -3*(t + 14)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d = 138*d - 1559743. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 23*b**8\/84 - b**4\/24 + 41*b**3 - b**2 + 380*b. Find the second derivative of a(t) wrt t.\nAnswer: 1840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232171896.\nAnswer: 2, 1301, 118387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 2*o**2 + 4*o.\nAnswer: -2*o*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312693965?\nAnswer: 5, 3373, 18541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -154 - -154.5. Which is the third smallest value? (a) -4 (b) i (c) 0 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 + 54\/24. Let a be 3 + 0 + 2 + -3. Let r(m) = m**a + 5*m**2 + 3*m**2 - m**i. Let k(y) = 2*y. Calculate r(k(g)).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 253663874 to the power of 1\/2, to the nearest integer?\nAnswer: 15927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 653 and 143664571.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -0.2, -1\/8, 345366, 33\/7 in decreasing order.\nAnswer: 345366, 33\/7, 3\/7, -1\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**6\/30 - 17*s**4\/3 - 48*s**3 - 160*s**2 - 911*s. Factor t(g).\nAnswer: (g - 10)*(g + 2)*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37677.\nAnswer: 3, 19, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -133301 (base 5) in base 11?\nAnswer: -4106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87615227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -13. Suppose -v*f + 4 = -10. Solve 5*b + 2*n = n + 20, -f*n + 10 = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57123 is divided by 1039.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -116 + 114 + -1 + (11 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**2*l**3*w**3 + 58*b**2*l**3 - 2*b**2*l**2*w + b*l**2 + 10*b*w**3 wrt l?\nAnswer: -24*b**2*w**3 + 348*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12955247 and -3.3?\nAnswer: -42752315.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**2. Let x(y) = 14*y. Determine c(x(f)).\nAnswer: -980*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/17 - 2304694*a\/17 + 129069136\/17 = 0. What is a?\nAnswer: -1152403, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 9. What is the least common multiple of 8 and o(-15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = 7*u. Suppose c = -4*c + 750. Suppose u = v + 4*v - c. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10300 + -110213303?\nAnswer: -110230203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2*k - 877 + 883 = 0, -4*y - k = -17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147616 and 131768?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 20*c**2 - 21*c + 11. Let a be v(-21). Let f = a + -8. Solve 0 = i + 2, 3*b - f*i - 10 = -i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*r**3 - 2867*r**3 - 656*r**3.\nAnswer: -3501*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -11. Let d be (-1)\/2 + 1547\/g. Suppose 0 = -2*u + 27 + 17. What is the greatest common factor of d and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*n + 110, -5*f - 120 = -2*n - 2. Let b(g) = g + 14. Calculate the remainder when n is divided by b(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**16*m**32 assuming m is positive.\nAnswer: m**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 1862?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -18. Let d(h) = h + 10. Let g be d(l). Is -2\/29 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, r: 4, b: 5, j: 8}. Give prob of sequence sbb.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 76136798*f + 30454720.\nAnswer: -(f - 15227360)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 18*m - 569. Give k(33).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m - 47*m + 268 - 98 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11b3a - 1307?\nAnswer: -12e42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 707959309 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: Let o = -1309 - -1309. What is the nearest to o in 1, -16, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 5441*r**4\/4 + 597*r**2\/2 + 3065. Find the second derivative of z(n) wrt n.\nAnswer: 32646*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u + 120. Let a be n(13). Solve -3*l = 6*p - 5*p + 3, 0 = -a*l + 4*p + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -786\/13 - -60483\/1001. Find the common denominator of 52\/99 and x.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09609 - 874.10391. Round q to the nearest ten.\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 134 + -51?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63360357 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 17 = 4*y, 0 = 5*q - 0*y + y - 22. Let t = 7 - q. Suppose 26 = t*m + m - 2*h, 23 = 3*m + h. Calculate the least common multiple of m and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 96578*u + 1641828. Determine n(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**2 + 4*s**5 - 7*s**2 + 6*s**2 wrt s.\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 989782.\nAnswer: 1\/494891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210494160 by 2760.\nAnswer: -76266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 8880?\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 191077, 191131, 191185?\n\"Answer: 54*c + 191023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -71\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2056, -3, -21\/4 in decreasing order.\nAnswer: 2056, -3, -21\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2662\/63 bigger than -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 865 divide 233287905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/168 - (1015\/(-147) + 5). Solve i*k - 6 + 1 = g, 22 = 4*k + 2*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 2*a. Suppose -5*q + 5 = -n, 11*q - 9*q = -5*n - 25. Let c(x) = -3*x**2 - 5*x. What is n*j(g) - 2*c(g)?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + 1529. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228349 to the power of 1\/2, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -44395905.29 and 0.4?\nAnswer: 44395905.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okdoe. What is prob of picking 1 k, 1 d, and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 2:14 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, f: 17}. What is prob of picking 2 u and 2 f?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7e (base 15) in base 5?\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44\/(-1)*(-185)\/74. Suppose 0 = -26*v + 24*v + c. Let d(i) = 7*i**2 - i - 1. What is the remainder when v is divided by d(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 16*d**2 + 14*d - 12. Let g be q(-15). Let i be 0\/(-1 + g - 0). Suppose i = 2*c - 116 - 194. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*s**2 + s**3 + 7*s**2 - 4*s + 16 - 11*s**2 - 18*s = 0. Calculate s.\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 63987?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.214784313 and 45?\nAnswer: 44.785215687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 24 + 8)*(j**4 + 4*j - 4*j) as f*j**2 + q*j**3 + b + a*j + s*j**4 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -47229984210 to the nearest one million.\nAnswer: -47230000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -1. Suppose -t + 20 = h + 2*t, h = -2*t + b. Suppose 0 = -16*m + h*m - 356. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**2 - 4*f**2 + 0*f**2)*(3*f**2 - 18*f + 11*f + 251 - 254) in the form c + w*f**2 + i*f**4 + x*f**3 + o*f and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*n + 16 = 697*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.6679186 rounded to one dp?\nAnswer: -24.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-3)\/12)\/(2\/(-24))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esf when three letters picked without replacement from {f: 2, e: 1, d: 4, y: 1, s: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 15*o**2 - 15*o + 10. Let i be m(14). Let k be (24\/(-36))\/(4\/6) - i. Let h(g) = -g**3 + 4*g**2 - 5*g + 3. Calculate h(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2. Let x(h) = -9283*h - 9264*h - 9409*h + 27681*h. What is x(u(m))?\nAnswer: -550*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, i: 4, f: 5}. Give prob of picking 4 i.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7392*r**4 + 23*r**3 - 32*r + 713.\nAnswer: -88704*r**2 + 138*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 1918 + 1858 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 4. Let k(a) = -a - 5. Let i(o) = -3*k(o) - 2*q(o). What is i(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1350 + 60121?\nAnswer: 56551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 124595188147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.23334396 rounded to four decimal places?\nAnswer: -2.2333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493329 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 2 - -2) + -3. What is the lowest common multiple of 33 and ((-90)\/(-60))\/(f\/28)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.1 + 5.1. Let w = -0.1 + -0.8. Let n = w + 0.6. What is the nearest to n in 3\/5, -4, q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(343) + -3 + 3*(sqrt(343) - (sqrt(343) + (sqrt(343) - (sqrt(343) + -1 + sqrt(343))**2 - sqrt(343)))) + sqrt(343) + (4 + sqrt(343) + -1)*2 + -4.\nAnswer: -56*sqrt(7) + 4118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 12\/(-4)) + -7377258. Let a = 630187 + j. Let g = -9617068 - a. What is g rounded to the nearest one hundred thousand?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**4*y + 80109*p**2*y**3 - 2*y**3 + 49565*y**2 + 8 wrt p?\nAnswer: -4*p**3*y + 160218*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) 5.6 (b) 0.2 (c) 0 (d) -4 (e) -1\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**2 - 55*i**2 - 53*i**2 - 5 + 5*i**2 + 5 + (4*i - 3*i - 3*i)*(i - 3 + 3) in the form q*i**2 + s + f*i and give q.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {r: 2, m: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 3*y**2 + 8. What is the remainder when s(4) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 11*z**3 - 11*z**2 - 24*z + 1. Let c be a(-4). Let y be 150\/(-2*3\/(-44)). Let q = y + c. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -1\/36*p**3 + 0*p**4 + 0 + 0*p - 2*p**2 + 1\/360*p**5. Suppose s(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119 and 85.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 1, 0, -16 in ascending order.\nAnswer: -16, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 16 + 88 = -0*b + b, 2*q = 4*b + 5*q + 119 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 717 = -2683. Let p = r - -427. Solve 2 = -p*a - h, -3*a - 3*h + 2 = -1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002793 rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/19, 5\/3, -4\/7, -1 in increasing order.\nAnswer: -1, -4\/7, 1\/19, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 981381701 and 591.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -66*z**2 + z**3 - 4*z**3 + 116 + 67*z**2 + 4*z**3. What are the prime factors of l(0)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -476208.984 rounded to the nearest one thousand?\nAnswer: -476000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2566850?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2 = -18. Suppose v - m = 11. Calculate the remainder when v is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50307 and 54148?\nAnswer: 2724023436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1904094*k + 0 - 952052*k - 952040*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*q - 122*q - 47*q + 9729 = 84*q for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -46. Let c = -1222\/9 - -136. Let y = -93 + 94. What is the smallest value in c, f, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2. Suppose -3*b + 33 = 6. Suppose 4*l = -b*l + 26. Let u(f) = 2*f**l - 2*f**2 + 3*f**2 - 4*f**2. Give u(c(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(-1 + -5*(sqrt(2736) + 0)*6 + 4) + 5.\nAnswer: -720*sqrt(19) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + -1.9. Sort 1\/7, 3, j in ascending order.\nAnswer: j, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 968535.8 nanograms to milligrams.\nAnswer: 0.9685358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6418 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5292486ml?\nAnswer: 0.0005292486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3 = -p, 11257*p - 11256*p = -g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymccyccmmyymccncnnc. Give prob of sequence yc.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 7*t - 50. Let q be j(6). What is the tens digit of 4059\/q*(-8)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8483 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 860877 to the power of 1\/2, to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 20*t. Solve t = -5*b - 7 + 22 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + (5 - (-6 - -8 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*z - 316, -3*z - 284 = -3*j + z. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.6 (b) 0.9 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 193 + (3 - 5 - (5 + -5)). Suppose 0*k - k - 3*l + 198 = 0, 0 = -2*k - 3*l + 387. Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 3*z + 12. Let h be l(-5). What are the prime factors of 174 - (27\/15 - h\/(-10))?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -2 (b) -2\/10855 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 3\/5501, 0, 1.85?\nAnswer: 1.85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49637 at least 248188\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + x - 4 = 0, 0 = -2*x - 8 + 10. Let n be 276\/60 + 10\/(-2). Which is bigger: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18*(18\/(-4))\/(-3) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*q + 5*p - 2*p, -168*q - 96*p + 95*p = -165*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72.2 * 17318.\nAnswer: -1250359.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 30256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18*-3*(-14)\/14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*m**2\/9 - 6998*m\/9 + 141364\/3.\nAnswer: 2*(m - 177)*(13*m - 1198)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 - 69\/(-21). Let u = -23 + 21. Sort c, -5, u in descending order.\nAnswer: c, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = 0, -150 = -5*q + 2*v + 31. Let f(p) = 5*p**2 - 2. Let j be f(2). Let h = q - j. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43\/11 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13155 - 13155. Put w, -7, 12, 5, -4 in descending order.\nAnswer: 12, 5, w, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 27*y = 15*y. Suppose -18*k + g = -19*k, y = 3*g + 3. Let i = 1.5 + -1. What is the closest to -4 in -3\/5, k, i?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118639932.\nAnswer: 2, 3, 103, 95987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37677, 75326, 112975, 150624, 188273, 225922?\n\"Answer: 37649*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -1 + 1)*14. Let o = j - -3. Suppose o = m + 3. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccj when four letters picked without replacement from {c: 14, j: 5, f: 1}?\nAnswer: 91\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -48\/55, 9.8, 0?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280848?\nAnswer: 2, 3, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*r**2 - 100*r**2 - 108*r**2 - 2845*r.\nAnswer: -263*r**2 - 2845*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuvvgcivvgnuvgvvigvg. What is prob of sequence vgug?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 4:09 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1068696821?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + g - 20. Let x be u(7). Let m = x + 30. Let i = 36 + m. Put 2, i, 9, -1 in decreasing order.\nAnswer: 9, i, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-119) + (-70)\/(-17). Solve -2 = 5*y - h*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/28 - (-38)\/14. Let m = 17 - 8. Suppose -5*v - a*s = -50, m*v - 4*v - 50 = 5*s. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 7:24 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.126 and 3247 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3. Let p(j) be the second derivative of -1\/3*j**3 - 2*j + 0*j**2 + k. Let s(b) = b. Calculate s(p(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3233.74 to the nearest 10.\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*n - 9 + 20, 2*n - 4*b + 2 = 0. Is 1\/n + (-8314)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * 7.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - k - 2. Let b be q(2). Suppose -10 = 3*a - 4*f, b*f + 0*f = -2*a + 20. Find the third derivative of -h**4 - 5*h**6 + h**4 + 5*h**a wrt h.\nAnswer: -600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6*-3*(-18)\/(-12). What is the second biggest value in 0.1, a, 0.9, -1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 5\/279712?\nAnswer: 5\/279712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 36922?\nAnswer: 110766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163417 is divided by 17787?\nAnswer: 3334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15390 by 2.\nAnswer: 7695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -49. What is the closest to 1\/4 in -5\/3, u, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -0.1. Suppose 4*q = -x + 15, -4*x = -6*x - q + 9. Which is the biggest value? (a) x (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33808447.\nAnswer: 151, 181, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10335 by 418.\nAnswer: 10335\/418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2*n - 14 = 0, 0 = -5*s - 161*n + 168*n + 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5. Let r(m) = m + 5. Suppose 3*w + 0*w = 30. Let u be (2*3)\/(w\/5). Let l(v) = u*r(v) + 2*i(v). What is l(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 252 and 23303.\nAnswer: 5872356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24205 + -24185. Solve 987*s = 997*s - w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**6\/1440 - c**4\/96 - 4*c**3\/3 + 8. Let m(s) be the third derivative of w(s). Suppose m(o) = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = 5*j - 2*j. Suppose 4*b + 5 = 4*h + 129, 2*b - 68 = -h. Suppose -u = 3*v - b, -3*u + 3*v = -0*u - 63. What is the remainder when j is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -423403.46.\nAnswer: -423407.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -0.1289\nAnswer: -0.07734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 0 + 5 = 4*u, 0 = -3*u + 2*k + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3213 - 44?\nAnswer: 3114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1053)*4)**2 + 1*sqrt(13)*3).\nAnswer: -50544 - 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/13)\/z**6)**(-14) assuming z is positive.\nAnswer: z**(1120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 20*o - 4. Let l(h) = -h**2 + 30*h + 4. Let k(s) = -2*l(s) - 3*p(s). Let x(n) = -4*n**2. What is k(x(q))?\nAnswer: -16*q**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2850246 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5\/3)\/(f*(f*f**(-14))\/f) assuming f is positive.\nAnswer: f**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675*u + 606 - 12645 = 3486 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-792)*501 + 21?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3)*(-36)\/60. What is the nearest to s in -0.07, 1\/6, 4, 13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/(-120))\/((-69)\/5175).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+518\nAnswer: 518.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 8:52 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -169*d**3 + 123240*d**2 - 22467600*d.\nAnswer: -d*(13*d - 4740)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6477904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 2*p + 3*p)*(p**3 - p**2 + p**2) + 0*p**3 + 5*p**4 + 23 - 35 + p**3.\nAnswer: 3*p**4 + p**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 1 = -3*g, -3*s + 12 = -g - 7*s. What is the tens digit of (12\/g)\/((-3)\/(-266))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + o - 12 + o**2 - 2*o - o**4 + 23 as z*o + j*o**3 + d*o**4 + h + a*o**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 divided by 2?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 394224997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 901 - 907.03. Let v = 6 + x. Let c = v + -0.07. Put -1, c, 2\/11 in descending order.\nAnswer: 2\/11, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.1 - 3.4. Sort o, 0.2, 1.\nAnswer: o, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22\/10)\/(-9 + 952\/105). Calculate the greatest common factor of j and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 3:45 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4 - 5, -4*q = -3*l - 29. Solve 4*j + q*y + 12 = 7*y, -y + 18 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/10)\/(k\/k**(3\/8)))\/(k**3*k\/(k*k\/((k*k\/(k*k**11))\/k)*k)) assuming k is positive.\nAnswer: k**(363\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)*x\/((x\/x**(-13\/3))\/x))**29 assuming x is positive.\nAnswer: x**(-899\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c - o - 17 = 0, 4*c = -3*o + 1. Suppose p = -c*j + 19, p - j + 3 = 2. Suppose p*t + 4*t = 2*t. Solve 4*d + 8 = -t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 304 + -324. Let m be (-2 - 0)\/(-25*8\/q). Let t = -2 - -1. Which is the nearest to t? (a) 5 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*p - 55*p - 70*p)*(548*p + 4 - 548*p + 10*p**2).\nAnswer: -1130*p**3 - 452*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 180043?\nAnswer: 180048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 583263973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11922 by -6.\nAnswer: -1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 7353.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/16 and -71\/2952?\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 119188 and 11?\nAnswer: 1311068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7760 = 2*j + 4*w, 5*j - 4*w = 20182 - 768. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.1 greater than 0.1999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*f + 328 = 0, i - 373 = -f - 43. Let u(m) = 5*m**2 + i*m + 5 - 326*m + 0*m**3 + m**3. What is u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 99*l**2 + 41*l + 214. What is the thousands digit of i(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5 (b) 2\/11 (c) -43.52 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4286 - -4313. Solve -24 = 33*k - q*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-8 - (-9 + -7) - 27 - 7)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14074365 divided by -20135\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 4:33 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 201421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5035 + -4965. Suppose 2*i - 337 = -6*j + j, 2*i = -4*j + 334. What is the least common multiple of y and i?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.063 (b) -4 (c) -1\/6 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*z + 505*z = 42*z + 1748 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37621, 150262, 337993, 600814?\nAnswer: 938725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11071823905853\/83395884 + 236\/631787. Let w = o + -1991794\/15. Let j = w + 477\/22. What is the common denominator of 63\/4 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.94*1216.9.\nAnswer: 10879.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-19)\/l)**(2\/45)\/(((l*l\/(l\/(l*l**(2\/21))*l))\/l)\/((l*l**(-1\/38))\/l)) assuming l is positive.\nAnswer: l**(-11563\/11970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l. Let v = 203 + -187. Let d be 175\/(-70)*v\/(-10). Give n(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 398 = 4*n + 35*r - 297, -1 = 4*n + r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = -5*y, y = x - y + 5. Suppose 1 = -q + x. What is the third derivative of 49*s**2 + 54*s**2 - 110*s**q - 4*s**3 wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1694997 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -18 (c) 2\/185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8694 + -8660. Solve -26*k + 32 = -x*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202248577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/8 + 125*k**3\/4 + 369*k**2\/2 + 367*k + 244.\nAnswer: (k + 2)**3*(k + 244)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 165 = 13*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**3*n**2 - 14495*a**3*n - 181*a**2*n**2 + 1163*n**2 + 185*n wrt n?\nAnswer: 6*a**3 - 362*a**2 + 2326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1149*f**2 - f + 2. Does 44 divide j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145*t**3 + 221*t**3 - 2135 + 86*t**2 + 2135 wrt t?\nAnswer: 2196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2))**(9\/8)\/(l\/l**(1\/3))**42)\/((l**(-3))**(6\/5))**(2\/17) assuming l is positive.\nAnswer: l**(-10141\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3299588 + 1.33. Round n to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/11))**(-15) assuming x is positive.\nAnswer: x**(90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3304.59.\nAnswer: -3302.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 293 = 319. Suppose 5*l = -5*c + 275, 3*c = -5*l - 39 + m. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -7. Suppose -2*r + 0*r = -u. Suppose 0 = 1072*n - 1079*n + 210. What is the smallest common multiple of n and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -14*q - 5*f - 290, -6*f - 152 = -q. Suppose -17*b + 5*b + 1008 = 0. What is the greatest common divisor of b and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 163445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*sqrt(6)\/sqrt(3)*-6 - (sqrt(126)\/sqrt(7) - (sqrt(2) + sqrt(8)\/sqrt(4)*-5)))**2.\nAnswer: 430*sqrt(2) + 3723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -17, -22, -43, -86, -157?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(3480\/30)*68\/(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 4 + -1 - (4 + -47). Suppose 20*g - 24*g + m = -11, -5*g - 5*m = -u. Solve -4*i - 19 = -3*l, -6*l = -11*l - g*i - 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -210, -0.055, -3507.4 in ascending order.\nAnswer: -3507.4, -210, -0.055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 + -62. Which is bigger: k or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -11*f + 46 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*h - 2143, 39*g - 2 = 40*g. Calculate the lowest common multiple of h and 3318.\nAnswer: 9954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2 + 4*c + 3. Let w be g(-4). Let r = w - 25. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*d = 25, 3*d + 6 + 1 = t. What is the closest to t in 5, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**(3\/2)))\/j)\/(j\/(j*j*j**(-5\/4)*j)))\/(j*j**0*j)**(1\/78) assuming j is positive.\nAnswer: j**(-277\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*h = -32 + 1028. Let o be -15*(-3)\/9*1. Suppose -3*n = o*u + 25, 2*u + 20 = -2*u - 3*n. Which is bigger: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 312711631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - a - 1. Let w(v) = -2*v**3 + 6*v**2 + 10*v + 10. Calculate -10*s(m) - w(m).\nAnswer: 2*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -0*c + 6*j - 7*j + 9, 8*j + 23 = -3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(0 + -2 + (-11)\/(-6)). Let t be ((-10)\/(-20))\/(x\/2). Which is smaller: 9\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52332\/890)\/98*50\/(-36)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2352778 and 5056?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14680639, 14680640, 14680641?\nAnswer: 14680642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 44, 1, 12 in increasing order.\nAnswer: -6, 0, 1, 12, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 93 = 5*v. Let l = 138 + -5. Calculate the remainder when l is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 7*f - 350. Calculate the least common multiple of f and 12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2\/3 - 35*v + 2960\/3.\nAnswer: -5*(v - 16)*(v + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (0 - 2))*((-13272)\/888 - -15)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4917, -9822, -14727, -19632, -24537?\nAnswer: -29442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 6*h**2 - 6*h - 6. Let d be (3 + -3)\/4 + -5. Let x be f(d). Is x <= 2\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 1170*h**2 + 13500*h + 39960.\nAnswer: 5*(h + 6)**2*(h + 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2140*s - 6247. Is p(27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 21*f - 14. Suppose 2*q + 1 + 3 = 0, 2*i - 46 = 2*q. Determine t(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 90976853 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 130933*p - 916538. What is r(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 5*z**2 - 2*z + 2. Let r be o(4). Let q(t) = -t**3 + 11*t**2 - 10*t + 14. Is 7 a factor of q(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-84)\/18))\/((-12)\/12).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -80017185 and 4.\nAnswer: -80017181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + -1 - 0) + 31. What is the highest common divisor of f and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 379, 557, 733?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 > 1\/273993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 89949 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = -2*b. Let u be 0\/(3\/3*b). Solve -g = -u*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2236 - 8*f + 4465 - 2229. Let w(k) = 2*k**2 - 42*k. What is p(w(q))?\nAnswer: -16*q**2 + 336*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/12)\/((-3)\/(-9)). What are the prime factors of q\/(3\/(-30)) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2916210400 to the nearest 1000000.\nAnswer: 2916000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-114)\/54)\/((1750\/75)\/7).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -4. Let f = -31 - k. Solve -4*t = -f*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w**3 - 10*w**2 - 292*w + 1293. What is q(4)?\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 40.247923*22\nAnswer: 885.454306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 5*n = 0, -11598 = -3*y - 3*n. Let i = 3461 + y. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ykkfk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 10:10 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1357382*p + 6 + 678689*p + p**2 + 678693*p.\nAnswer: p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 - 10*k**3 - 23*k**3.\nAnswer: -39*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-22)\/(-11))\/(1\/1). Suppose -4*n + j*n = -10. Suppose 3*v = d - 0*v + n, 23 = 2*d + 5*v. Solve 5*f = d*y + y - 25, -2*f - 3*y + 10 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 5 - 5)*(20*f**2 + 15*f**2 - 12*f**2) - 5*f**3 - 3*f**3 - 3*f**3.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 376*d**3 - 18*d**2 + 53*d - 49. What is the ten thousands digit of u(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-18)\/z*(z\/(z**(-2\/45)\/z))\/z)\/((z*(z*z\/(z*z**(-26)))\/z)\/(z\/(z*(z*z**(-3\/14)*z)\/z))) assuming z is positive.\nAnswer: z**(-28817\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -206203*u**3 - 207255 wrt u.\nAnswer: -618609*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/7*(21\/6 + 0). Let m = 31 + -29. Calculate the highest common divisor of f and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*d - 21*d - 15*d + (-7*d - 12*d + 13*d)*(-2 + 3 + 1).\nAnswer: -68*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -76.73.\nAnswer: -76.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46\/9*b**3 + 0*b + 10\/3*b**2 + 4\/3*b**4 + 0 = 0. What is b?\nAnswer: -3, -5\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63531102 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkw when three letters picked without replacement from {k: 4, w: 5, b: 2}.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1055484 + -0.3\nAnswer: -1055484.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4) + 7737\/54. Let g = -142 + o. Is -1 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 1362978 + 287022. Round z to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 384, -1032, -4, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -123622 - -123626. Let z(w) = -w + 8. Let g be z(0). Which is the nearest to -1? (a) h (b) 0.3 (c) g (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, a: 5, j: 2}. What is prob of picking 2 a and 2 j?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 10:49 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6421\/146 - -44. Let w = -271\/1022 - r. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 54038.\nAnswer: 1\/54038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i - z - z, -3*i + 2*z + 4 = 0. Suppose 0 = s - i*s + 15. Let k be (5 + -3)*s\/2. Solve -2*u + u + 4*p = -k, 4*u + 16 = -3*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4 + 3*x - 1 - 5. Let u(b) be the first derivative of -2*b**2 + 3*b - 1. Suppose 9*m - 20 = 5*m. Determine m*a(o) + 4*u(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 - 20*w**2\/3 + 50*w.\nAnswer: -2*w*(w - 5)*(w + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/15*155\/(-93)*-1*3\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/7106 or 0?\nAnswer: 15\/7106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 29 = 3*v + l, 2*v = 5*l - 41. Let r = 13 - v. Is 26 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -721100 and 0.3.\nAnswer: -216330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 - 78. Suppose 3*y = q - 10, -y = 5*q - 4 + 2. Sort -5, q, 3, x in ascending order.\nAnswer: -5, q, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oot when three letters picked without replacement from {t: 6, o: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 - 393\/(-4))\/((-495)\/(-11220))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -w + 39, -w + 79 = 4*v + 2*w. Let h = -1 + v. Let d = 60 + h. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -80*d*l**2*q + 27*d*l**2 + 376*l**2 + 2*l + 4*q wrt d?\nAnswer: -80*l**2*q + 27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 2. Let g be (-1)\/(-5)*(-1 - b). Let n = 101 - 100. Sort 0, g, n in decreasing order.\nAnswer: n, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -32. Let r be (f\/(-45) - 1)*-3. What is the closest to 0.1 in 0.5, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5294 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/195627 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) -0.02 (c) 4 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of -11 + 10 + -1 + 6*61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31801 or 2581?\nAnswer: 2581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-2 + 0 + 1). Let o(r) = r + 4. Let p be o(x). Find the first derivative of -a + 1 + 0*a + 2 + p*a wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20559265621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616766646.\nAnswer: 2, 3, 102794441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 = -0*s, 2*s - 4 = 2*z. Suppose -5*h - m - 68 = 0, 3*m = -0*h - 3*h - 36. Is 4 a factor of h\/8*-2*z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**4 - c**2. Let a(h) = -13*h**4 - 4*h**2 - 13*h. Let f(o) = -a(o) + 4*m(o). What is the second derivative of f(u) wrt u?\nAnswer: 108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 3*v**2 + 9*v - 5. Let n be u(-7). Suppose -4*r - 20 = -n. What is the greatest common factor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*d**4 - 5 + 5*d + 59*d**3 - 60*d**3 - 2*d**2 - 31*d**4 as p*d**4 + z*d + f*d**2 + q + l*d**3 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20\/43? (a) 3\/13 (b) -2\/5 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.055*0.03\nAnswer: -0.00165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 13*m**3\/2 + 59*m**2\/2 - 32*m. What is the first derivative of b(z) wrt z?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 - 1. Let k(z) = -2*z**2 - 2. Let a(i) = i**2 + 16*i - 5. Let w be -1 - (-15)\/(-3 + 2). Let f be a(w). Determine f*r(m) + 4*k(m).\nAnswer: 2*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-5)\/((-140)\/(-32))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 2:48 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u - 3*n - 1, 4*n - 28 = 5*u. Let c = u - -16. Let x = -4 + c. Solve -x*k + 8*k + 4 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2*((-41)\/6)\/(434\/651)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -2*w**5\/5 + w**4 - 2*w**2 + 2*w - 1. Find c, given that s(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 t, and 1 w when three letters picked without replacement from {r: 1, a: 2, h: 1, w: 1, f: 1, t: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 630749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -5, 6 in descending order.\nAnswer: 6, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b + 78?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15583.\nAnswer: 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/18*18\/4. Suppose 2*a - 66 = -4*z, -3*z - o*a + 57 = -4*a. What is the lowest common multiple of z and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 2. Calculate the least common multiple of v(-4) and (-105)\/525 + (-11)\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*c**2 - 188*c**2 - 39 + 602*c**2 + 9 - 209*c**2.\nAnswer: -c**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28101 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h - 1. Let r = -1669 + 1673. Let k(g) = -23*g - 2. Let m(a) = -11*a - 1. Let n(d) = -6*k(d) + 13*m(d). Let t(o) = r*l(o) - 3*n(o). Calculate t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t, 2*t - 5 = -d + 1. Suppose 2*p = -2*p + 200. Suppose -g - p = -d*g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -1\/120*x**6 + 0 + 0*x**4 + 0*x**3 + 11*x**2 + 0*x + 0*x**5. Factor r(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53736 or -53699?\nAnswer: -53736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 7. Let u be x(2). Suppose 4*b - 4 = u*b. Suppose 805 = v + b*v. What are the prime factors of v?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 56630.\nAnswer: 56630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 17*l - 1728. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a microgram in nanograms?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let g = -657\/4 + 4441\/28. Find the common denominator of s and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/600 + i**5\/300 - i**4\/120 - i**3\/30 - 4*i**2. Determine c, given that b(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - 1fbd1?\nAnswer: -1fbc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = l - 2, l - 11 = 3*k. Find the common denominator of 21\/8 and 2\/(-4) - (-10)\/k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - 9 + 2*j**2 + 0 - 4*j + j**3 to r*j**3 + s*j**2 + a*j + m and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125953 is divided by 297.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10 = -6*y + 3*y, -3*q - 5 = -4*y. Suppose 0 = -3*d + 5*x - x + 105, 4*d = q*x + 140. Calculate the remainder when 130 is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 0.0191629, -2\/15, -3\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 4*v - 3. Let w be m(2). Let n = -103 - -517\/5. What is the closest to 2\/3 in 0.5, n, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = c - 0*c. Suppose f - 43 - 11 = c. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28905*n - 8660?\nAnswer: 28905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -184, -4, 3 in decreasing order.\nAnswer: 4, 3, -4, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.2 (b) -5\/4 (c) 0.1 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**(-1)\/p))**(-44)\/(p**(1\/15)\/(p\/(p*p**0*p))) assuming p is positive.\nAnswer: p**(-2656\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 4*q**2 - 7*q - 8. Let i be f(-5). Solve i*v = 6 - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 4:44 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h + 13. Let a(o) = -2. Suppose 5*u - 1252 = 3*n - 0*u, 3*n + 2*u = -1280. Let p = 410 + n. Calculate p*a(b) - 2*t(b).\nAnswer: 6*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (1 - (6 - -1) - -4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, i: 8}. Give prob of sequence iss.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104328110571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/240 and 109\/8256?\nAnswer: 41280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*sqrt(63))**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 + -110 + -18 + 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r + 71*r - 19*r - 809*r**2.\nAnswer: -809*r**2 + 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + g**3 + 5*g + 3 - 2*g in the form r*g**2 + p*g + c + q*g**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -2 + 3 - (-1 + 2). Suppose -r*n - 24 = -8*n. Suppose p - 220 = -n*u + 3*u, -920 = -4*u + 4*p. What is the highest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/4)*(i\/((i*i**(3\/5))\/i))\/i*i*i\/(i*i\/(i\/(i**(1\/6)\/i))*i*i)*i**(1\/6)*i)\/(i**(-2\/13)\/(i*i**(-6)))**(-10) assuming i is positive.\nAnswer: i**(13029\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 + 2*p**3 - 3*p**2 + (-3*p**2 - 3*p**2 + 5*p**2)*(-11*p - 27 + 27).\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 4) + -1 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 10*f**2 + 3*f - 12. Calculate the remainder when 34 is divided by h(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72329*j**4 - 91082*j**2 wrt j.\nAnswer: -1735896*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 156 + 48 = 0. Suppose -3*u + 0 = -18. Suppose u*j - 51 = 3*j. Calculate the greatest common divisor of j and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**7\/70 + k**6\/120 - 27*k**4\/8 + 6*k**2 - 7. Find the second derivative of v(o) wrt o.\nAnswer: 36*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 16*w + 18*w - 8, 3*q - 4*w - 2 = 0. Suppose 2*v = -10, 5*k + 6*v = 2*v - 5. Factor -340*r**3 + 348*r**k - 4 - 2*r + 20*r - 24*r**q.\nAnswer: 2*(r - 2)*(2*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026987 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51013 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 922912 or 922918?\nAnswer: 922918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4975907 centuries to months.\nAnswer: 597.10884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -13*p + 93. What is the remainder when 5 is divided by k(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1668910*i*t - 5*t + 8062 with respect to i.\nAnswer: -1668910*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 643\nAnswer: 3215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 2:35 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 119 - 11. Let x = -2089\/266 + 4\/19. What is the common denominator of x and 2\/(-8) + h\/32?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1560404 is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 1 - (-21 - ((46 - 27) + -36))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 23*w. Let g(u) be the second derivative of 55*u**4\/4 + 4584*u. Give x(g(l)).\nAnswer: 3795*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 3*s + n + 17, 17*s + 83 = 3*n + n + n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3876 divided by -4\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 218062 and 9412.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2483 divide 546260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -614, -613, -612, -611?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y - 2*y - y)*(-3*y + 2*y + 0*y) + (y - y + y)*(2*y - 3*y - y))*(-7 + 3 + 1).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**6\/60 + 8*h**5\/15 + 59*h**4\/12 + 44*h**3\/3 + 12*h**2 - 24. Factor v(c).\nAnswer: 2*(c + 1)*(c + 4)*(c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkl when three letters picked without replacement from lllkklzllkkzk.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 6*j - 1. Let k be r(-5). Solve 10*w**2 - 2*w**k + 16*w - 4*w**2 - 12*w = 0 for w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 769a32 (base 11) in base 10?\nAnswer: 1228427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 15.5. Let o = x - -44. Let a = -0.3 - -0.2. What is the third biggest value in a, o, -1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 5:06 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**5 - 348*y**4 + 111330*y**3 + 677040*y**2 + 1018713*y + 453348 = 0. What is y?\nAnswer: -257, -4, -1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 4*m - 3 - 6)*(-6*m - 3*m + m).\nAnswer: 48*m**2 + 72*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 62810600 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, 0.7, 10.1, -48, -17 in ascending order.\nAnswer: -48, -17, -6\/11, 0.7, 10.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (2 + -1)*-1. Suppose 3*s + 4 = -2*m, 2*s + 3*m + 6 = -0*s. What is the closest to s in 1, 2\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7ab929 + -3?\nAnswer: -7ab92c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459455 is divided by 1747?\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 6*w + w)*(0*w + 6*w - 3*w) - 3*w**2 - w**2 + w**2 + (-3 + 7 - 2)*(-4*w**2 + 4*w**2 + w**2) + (-2*w - w**2 + 2*w)*(0 - 1 - 2).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453 - 838 = -p. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003 is divided by 234?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-9))**(-18) assuming p is positive.\nAnswer: p**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15351\/(-26488)*72\/(-306).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2 - 5*q - 1. Determine t(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 840 is divided by 46.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 359\/3198, -2\/3, -1\/4, -2\/29, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 2)*(-30733*p**3 + p**4 + 1032*p**2 + 30733*p**3 + 2*p) to the form b*p**3 + u*p**4 + f*p**2 + s + y*p and give f.\nAnswer: -1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/9 (b) -2\/7 (c) 24986 (d) -2 (e) -3\/17 (f) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 7*a**2 + 4*a + 12. Let b be x(6). Factor b*d**2 + 4*d**2 + 2*d**2 - 4*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*w**3*x*z - 228*a*w**3*x - 7*a*w**2*x*z + 2*a*w**2 - a*w*x - 52*w**3*x - 7*w**2*x - 7*w*z - 1 wrt w.\nAnswer: -12*a*x*z - 1368*a*x - 312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -63129, -80139, -97149, -114159?\n\"Answer: -17010*f - 46119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01 and 252674.7721?\nAnswer: 252674.7821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2390506, -4780859, -7171212, -9561565, -11951918, -14342271?\nAnswer: -16732624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 129256355243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 3*l + 11, 8*w = 6*w - 4*l - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*x = -136*x - 29872 + 512748. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 4, -5, 2\/545?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x + 119. Give l(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 26030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 418140884 to the power of 1\/2, to the nearest integer?\nAnswer: 20448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(5\/6)\/f**(-9) assuming f is positive.\nAnswer: f**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2. Let a(q) = 5*q**2. Let k(x) = -a(x) - 6*o(x). Let m(w) = -4*w - 6*w - w + 0*w. Calculate m(k(p)).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12682 and 14.\nAnswer: 88774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 71*b - 85. Let a(f) = -24*f + 28. Let l(x) = 7*a(x) + 2*w(x). What are the prime factors of l(-2)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*o**2*u - 4*o**2 + 4*o*u + 390*u wrt o?\nAnswer: 38*o*u - 8*o + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -28525*f + 60914*f - 26606*f in the form x + d*f and give d.\nAnswer: 5783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 1, m: 1}. Give prob of picking 1 d and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = f - 3*h, 318*h + 10 = 4*f + 309*h - 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yczz when four letters picked without replacement from {c: 1, z: 10, y: 1, u: 1}?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 339\/2*n - 495 - 3\/2*n**2.\nAnswer: -3*(n - 110)*(n - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 - 41*k - 133. Let o be n(-14). Calculate the highest common factor of o and 2989.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 10*o - 2. What are the prime factors of b(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5942, -11490, -17038, -22586, -28134, -33682?\n\"Answer: -5548*x - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o = 4*l + 283, o + l - 99 = 0. Let k = -69 + o. Suppose -j + 10 = w + 2, 4*w + 5*j = k. Calculate the remainder when 34 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*o - 269*o + 27 = -3*z, -4*z = 4*o + 36 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20155021 (base 6) to base 16.\nAnswer: 8c6f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -13 - w + 2*w + 3*w. Let n = -227 + 241. List the prime factors of r(n).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2 + 5974588*y = 0.\nAnswer: -2987294, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y + 19 = 2*f + 12*y, 0 = f - 5*y - 27. Which is the nearest to f? (a) -82 (b) -0.1 (c) -0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173499 divided by -53?\nAnswer: 173499\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 7. Suppose -n = -v*c + 3*c - 9, 2*n + 6 = 2*c. Let u = -169 + 181. Solve -c*r + u = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 16 - 5*n + 43*n - 3 to the form z + q*n and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 212177057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6, 0.1, 2\/59, 505 in decreasing order.\nAnswer: 505, 0.1, 2\/59, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/3)*o\/(o\/(o*o**25)))\/(o\/o**(1\/9))**(-47))**2 assuming o is positive.\nAnswer: o**(1244\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdzdvqgvzvvbqgvzgzzv. What is prob of sequence ddg?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -90623 at least as big as -90623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 28\/33 and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 40, 48, 56?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -20*75\/(-1250) + 32\/40. Determine t so that -2\/5*t**r + 8\/5*t - 6\/5 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, q: 5, z: 1, g: 4, r: 2}. What is prob of sequence hrqz?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 897.0492kg?\nAnswer: 897049200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*-1 - 4\/(-2). What is the tens digit of m\/((-6)\/9) + (33 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118243 - -118243.0050487. What is c rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**3\/7 - 4*u**2\/7 - 1705*u\/7 + 17908\/7 = 0.\nAnswer: -44, 11, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858615 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, e: 2, q: 1, m: 2, h: 10, k: 1}. What is prob of picking 1 m, 2 z, and 1 e?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1\/3, 3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597.8191 millilitres to litres.\nAnswer: 0.5978191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1139*d + 1267*d - 1 + 1 - 1935*d - 2227*d**3 wrt d.\nAnswer: -13362*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81842.95l?\nAnswer: 81842950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/7*(1 - (-11)\/3). Suppose 2*k - n - 16 = 0. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57 + -4?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 172388 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 1. Suppose -3*s = -4*b + 8, -2*b + 15*s - 11*s + 14 = 0. Let a(q) = q + 5. Determine b*a(k) + h(k).\nAnswer: -2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/4 + 21\/(-28). Let o be ((-30)\/(-9))\/(-5) + 6\/9. Solve o = -b + 2*b + z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 312, -1, 72?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25282448?\nAnswer: 2, 863, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*w - 46. Let a(i) = -i**2 - 4*i - 3. Let u be a(-3). Let r = -6.6 + 7. What is the closest to u in w, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**3 - 5*s**2 + 22*s - 55. Let l be r(5). Suppose -2*u - l = -1019. What are the prime factors of u?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 8:14 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 12 = 4*n - 8*n. Solve -4*c + 9 = 5*y, y = -n*y - c + 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118a3 (base 11) to base 12\nAnswer: 9a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**8\/15680 + n**7\/5880 - n**6\/1680 + n**5\/6 + 11*n**2. Let x(j) be the third derivative of l(j). What is r in x(r) = 0?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = 2*g - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4960)\/(-3472))\/(4\/(-140)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 - -1.287. Round t to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6724532?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 189674 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 619?\nAnswer: 619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -7a?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*s**2 - 11*s**2 - 29*s**2)*(-3 + 1 + 2*s + s).\nAnswer: -180*s**3 + 120*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378861.\nAnswer: 3, 7, 18041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 9, x: 3}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from {x: 2, o: 10}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 4*c - 9. Let n be ((-4)\/14 - (-4336)\/(-112)) + -1. Let p = -43 - n. Let z(k) = k**2 - 2*k + 5. Calculate p*h(u) - 5*z(u).\nAnswer: -2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**6\/30 - 2*f**3 - 21*f**2. What is the first derivative of m(v) wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**3\/3 + 3*j**2\/2 - 3*j. Suppose -2*r - 4 = -4*r. Suppose -8 = r*m - 4*m. Give i(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 5:16 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 8*n - 4. Let h be x(7). Suppose 4*d - 2 = h*d. Suppose -d*t + 165 = 3*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**5 - t**5 - 5*t**5)*(9 + 2 - 4) + 6*t**5 - 4*t**5 - 4*t**5 + (4*t - 3*t + 2*t)*(t**4 - 2*t**4 + 2*t**4).\nAnswer: -20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 0*f**4 + 0*f**3 - 3*f + 16 + 14\/5*f**5 + 0*f**2. Find the first derivative of w(n) wrt n.\nAnswer: 56*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -18. Which is the closest to -1? (a) -1 (b) o (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + (1 - (14 + -22 + -17)) + (88 - 1).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00178566071 to seven decimal places.\nAnswer: -0.0017857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1735442 divided by -86?\nAnswer: 867721\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*o = -1105, -8*o - 1100 = -5*i - 4*o. Suppose 27 + i = r. List the prime factors of r.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q - 4*q**2 + 7*q**2 + 0*q**2 - 4*q**2 - 4. Determine t(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 2:59 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 24*d. Let r(b) = -3766678*b**2. What is g(r(j))?\nAnswer: -90400272*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*d + 669 = -197*d + 8*j, -d + 4*j - 329 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -1876 - 559. Let j = -487 + h. Factor 2\/5*m**3 - 2\/5*m**2 + j + 2\/5*m**4 - 2\/5*m.\nAnswer: 2*m*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 14*y**5\/5 + 4*y**4\/5 - 84*y**3\/5 + 88*y**2\/5 - 2*y - 12\/5 = 0.\nAnswer: -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s - 32 = 4*a, 3*s - 4*a - 28 = 0. List the prime factors of s*((-573)\/(-30) + (-14)\/(-35)).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m - 215. Give c(43).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 14 = 102. Let p(w) = -9*w + 2*w + w**2 + x*w. Let l = -1 - 1. Determine p(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c. Let v(b) = -656*b + 0 - 5 + 652*b + 4 - 8*b**2 - 3. Let o = 0 + 1. Let w(k) = -k**2 - k - 1. Let f(l) = o*v(l) - 4*w(l). Give g(f(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/26)\/(46\/(-2990)*-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 3\/19, 1 in descending order.\nAnswer: 1, 3\/19, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by 1*(-2 + 4)*(-774)\/(-12).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/15 - 8\/(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 600*h**2 + 1188*h + 592.\nAnswer: 4*(h + 1)**2*(h + 148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5858228?\nAnswer: 2, 59, 103, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - 21. Calculate y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 + 35. Let m = 1384 - 13761\/10. What is the common denominator of m and (-4)\/(-6)*(-303)\/a?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, 14, -1\/3, -260.8?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -148*m. Let u(o) = -139*o - 3. What is u(x(j))?\nAnswer: 20572*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4118185 is divided by 3271?\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 694.59728 rounded to the nearest ten?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 7*x + 11. What is f(-8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 863187.9 years to centuries.\nAnswer: 8631.879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 324*u**5 - 1116*u**4 - 3764*u**3 + 6684*u**2 - 2368*u + 240 = 0. What is u?\nAnswer: -3, 2\/9, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**3 + 0*y**3 - y**3.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42760, 85516, 128280, 171058, 213856, 256680, 299536, 342430?\nAnswer: 385368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-9)\/4 + 2). Suppose -3*i - 2*w + 3 = 0, -3*w = -3*i + 2*w - 18. Let d be (i + 1)\/(1 - 2). Solve -x = -u - d*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5) - sqrt(15)\/sqrt(147))*-4.\nAnswer: -14*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 13160540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.308 less than -4913?\nAnswer: -4913.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 104 = 120 - 231 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 0 = -2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-2)\/(72\/(-7))). Let l = -2066\/133 + h. Let x = 0.7 - 5.7. Which is the closest to -1? (a) l (b) x (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/3 + 13*p**2 + 572*p - 7424\/3 = 0. What is p?\nAnswer: -29, 4, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 6*a**2 + 18*a - 11. Let y be v(8). Solve 4*b - 3 = y*z, -3*b - 4*z = 2*b + 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -580 divided by -29\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 877843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-4))\/(1\/100). Let s = 289 + n. What is the greatest common divisor of 21 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 10 = 56. Let g = 27 - o. Solve -g - 9 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - -1 - (2 - 0). Let g = 21\/5 + o. Determine p, given that 1\/5*p**2 - g*p + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 40.81. Let o = 10.81 + d. Let m = -0.2849 - 0.0151. What is the smallest value in o, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58779 and 377243.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 39807.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 w, and 1 h when three letters picked without replacement from {w: 1, u: 2, q: 2, m: 1, h: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -0.6, 0.17 in ascending order.\nAnswer: -0.6, -6\/11, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 5*u + u)*(-3 + 5 + 0) - 3*u - 3 + 3 + (-3 + 2 + 3)*(-2*u - u - u).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 10904\nAnswer: -63\/10904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247732612 or -247732614?\nAnswer: -247732614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - 2*m - 2*m)*(-4 + 1 + 2) - 1 + 1 + 2*m - 9*m + 19*m + 7*m to the form y + j*m and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 2:21 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1415?\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*o**2*s**2*y - 2*o**2*y**2 - 852*o**2 - 7*s**2*y**2 with respect to s.\nAnswer: 108*o**2*s*y - 14*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*14\/(-165)*468\/(-84).\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 2, i: 6, m: 1, u: 5, a: 2}. Give prob of sequence axub.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*y - 10*y + 1216 = -60*y + 66*y for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-17094)\/4884*66\/7\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 1 - -307 - 6. Suppose -4*b + 2*c = -n, -4*b - 30*c + 332 = -25*c. Calculate the remainder when b is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*m + 7, -m - 2*m = 5*g + 8. Let n = -67.2 - -73. Let l = n + -2.8. Which is the closest to g? (a) -3 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 6. Let m(i) = -i + 10. Let p be m(8). Suppose p*b + 3*b = 0. What are the prime factors of o(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1749?\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12534265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4755 - -4769. Calculate the remainder when 6465 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 3746?\nAnswer: 3743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3\/3 - 4*b**2\/3 - 17*b + 18 = 0.\nAnswer: -6, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.80807g to milligrams.\nAnswer: 35808.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448069 is divided by 224033.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 163 - 127. Let p be (-114)\/r + (-2)\/(-3). What is the third derivative of -15*y**2 + 3*y**2 + p*y**4 - 7*y**2 - 6*y**4 wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -616105*b**3 - 234258*b**2 wrt b?\nAnswer: -3696630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*s + 238*s - 477*s + 6*s**2 + 7*s**2.\nAnswer: 13*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - -1*sqrt(40))\/((sqrt(30) - sqrt(120)\/sqrt(4) - sqrt(30))\/sqrt(6)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137470978.\nAnswer: 2, 68735489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -7.89\nAnswer: -39.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 a, and 1 g when four letters picked without replacement from dgdgdaadgddd?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*r - 3*k, r - 16*k - 5 = -13*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6789.\nAnswer: 3, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28607, -114403, -257387, -457559, -714919?\nAnswer: -1029467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3)**(-38)\/(((c\/c**(2\/9)*c)\/c)\/c*c*c)**(-47) assuming c is positive.\nAnswer: c**(-274\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66750?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/3, 5, 0.09, -0.5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 10. Let g be l(5). Let o(z) = -3 + 0*z**2 + z**2 - 2*z**2 - 5*z. Let a be o(g). Which is bigger: a or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 7)*(2 - 2 - 2*u + (3*u + 0*u - u)*(-2 + 0 + 1) + 2*u + u - 2*u).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*10\/24*(-126)\/63?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/4 and (((-1050)\/40)\/35)\/(1\/(-58))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15*j - 289. Give p(-12).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 4. Let t be b(-4). Suppose 2*m + t + 2 = 0. Let h = m - -2. Solve -3 = n + h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2870.09 - -2858. Let z = a + 9.4. Let x = z - -1.9. Round x to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**4\/12 + 7*p**3\/6 - 3*p**2. Let o(y) = 1. Let g(t) = f(t) - 6*o(t). Differentiate g(s) wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 14*h**2 - 15*h + 13. Let p be y(15). Let g be 2*53 - (p - 11). Let k = 244 - g. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16852 and 744552.\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*i**2 - 354 + 363 + 77*i**2 + 18*i.\nAnswer: 2*i**2 + 18*i + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104 and -82597?\nAnswer: 8590088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-8\/3)\/w)*(w\/(w**(10\/3)*w))\/w)\/((w\/w**5)\/(w**(-11)\/w)) assuming w is positive.\nAnswer: w**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11*g - 6*g + 36*g - 17*g. Let q(f) be the third derivative of -23*f**5\/30 - 14*f**2. Give z(q(o)).\nAnswer: -92*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40060171?\nAnswer: 67, 419, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((868\/31)\/420)*18\/10\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38845 + -38842. Sort -232, 5, c, 0 in ascending order.\nAnswer: -232, 0, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2 + 775276220*b - 75131652162186050 = 0. What is b?\nAnswer: 193819055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-170)*((-16)\/(-6) - (25 + -19))*-87?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17289 divided by 9?\nAnswer: -1921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 3730792741392 and 0.18.\nAnswer: 3730792741392.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 27097378 divided by -3871054\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 505068*n**2 - 21258312111*n + 42514603974.\nAnswer: -3*(n - 84177)**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -788 + 942 = -77*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 25. Let w be r\/((20\/(-12))\/5). What is the greatest common factor of w and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**6\/120 - 7*r**5\/30 + r**4\/12 + r**3 + 2*r**2 + 12. What is the remainder when 67 is divided by o(14)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634645125 a multiple of 4066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 n when three letters picked without replacement from {x: 2, r: 1, n: 3, e: 1, f: 2, d: 3}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u*y**4 - 64499*u*y**3 - 2*u*y**2 - 17*u - 14*y**2 + 3*y - 1 wrt y.\nAnswer: 48*u*y - 386994*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126565?\nAnswer: 5, 17, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pylhptuppyhptl. What is prob of picking 1 u and 2 h?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o - 3*h + 3, 2*o + 4*h = -6. Let n(q) = -2*q + 1. Let z(j) = -2*j + 5. Let g(w) = 6*n(w) - z(w). List the prime factors of g(o).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*11\/(121\/44)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v + 25 = 0. Let p(z) = z**2 + 5*z - 8. Suppose 4*m + 42 = -2*m. Let g be p(m). Let u(y) = -4*y - 1. Let b(c) = -3*c - 1. Give g*b(o) + v*u(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -63.3?\nAnswer: -63.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -10, -0.1, -20\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -15*i + 2. Let y be (-17)\/3 + 8\/12. Is u(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*c - 2*r + 39, -c - 5*r + 23 = 0. Suppose -134 + 38 = 3*m. Let j = 97 + m. Calculate the greatest common divisor of j and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 653357, 653354, 653347, 653336?\nAnswer: 653321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 134923\/90 or 1499?\nAnswer: 134923\/90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.459758 litres to millilitres.\nAnswer: 8459.758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 332020, 332065, 332132, 332215, 332308, 332405, 332500?\nAnswer: 332587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*r = -30, -2*r + 4 = f - 3*f. Let n(o) = -o - 2. Let u be n(f). What is the units digit of ((-18)\/15)\/1*u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + h - 24, -2*h = -c + 11 + 22. Is -3*(-3)\/(c\/300) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5999 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.0433um in nanometers?\nAnswer: 33043.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -181736, -182059, -182382?\n\"Answer: -323*z - 181413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -33. Let l = -3 + 0. Let d = 3.2 + l. What is the second biggest value in d, u, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 307*n - 309*n - 158, 3*n - 3*w + 123 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 175999, 351966, 527927, 703882?\n\"Answer: -3*n**2 + 175976*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4514036 is divided by 186.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 1284 = -410. Let x = m - -122. Which is greater: x or 18\/29?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 0, 0 = -2*o - t + 10874 - 2095. What are the prime factors of o?\nAnswer: 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 32 = -m. Let u = 34 - m. Suppose u - 10 = f. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2 + 304*d**2 - 10 - 19*d - 606*d**2 + 301*d**2. Let l = -16 + 9. What are the prime factors of j(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -423678 by 141226.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -0.2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -123*j + 2. Let t(s) = -s**3 + 3*s**2 + 5*s - 6. Let h be t(3). Let i be (44\/12 + -4)*h. Is q(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 1188*l + 95832.\nAnswer: -4*(l - 66)*(l + 363)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1946*-7)\/((297\/22)\/(-27))?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -9 - (-5 - -19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -11*f - 1. Let i be x(5). Let m = i + 104. Let o = m + -30. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 7 + 7 + 20 = 7*u + 8*u - 19*u, -12*u = 5*i + 60 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 4)*(3 + 2 - 3) + 3 + 5 - 5)*(-8*m + 5*m + 36*m).\nAnswer: 231*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 12:01 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104524?\nAnswer: 2, 7, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 248 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2832, -2900, -3018, -3186, -3404?\n\"Answer: -25*v**2 + 7*v - 2814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (267 - 251) + (-9 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/98 and 26\/161?\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/8)\/(3627\/3224)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69? (a) -5\/4 (b) 44 (c) -4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484, -847, -1212, -1579, -1948, -2319, -2692?\nAnswer: -3067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076382663 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2 (c) 4 (d) -1\/4 (e) -0.1 (f) 0.1049\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*l**3 - 2*l**2 + 309*l.\nAnswer: 348*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -396650000 to the nearest one million.\nAnswer: -397000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 267703?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o - 2 + 2)*(4 - 4 + 2 + 162 - 53 - 74 + (0 + 0 - 2)*(2 + 0 - 3) - 4 + 2 + 4) to the form b + p*o and give p.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:59 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(104)*1*3 + 2*sqrt(104)*-1))\/(-3*sqrt(40)\/sqrt(245)*-5).\nAnswer: -7*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3461 or 1?\nAnswer: 2\/3461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 9) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14\/5 - -52\/15. Let i be (-2894)\/6*5\/15. Let f = i - -161. Put d, f, -0.5 in decreasing order.\nAnswer: d, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 7*l - 6. Let i be f(6). Let p = -281 + 278. Which is greater: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2215 or 2214?\nAnswer: 2215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 88419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -96147040 divided by 44?\nAnswer: -2185160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -452 + 481 - (15 + (-1 - 1))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2. Suppose -4*f + 18 = 4*k + 6, 3*k + 2*f - 6 = 0. Suppose k = a - 4*a. Let j(p) = -2 + a + 2 - p. Determine j(m(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/4 + 121287*w**2\/4 - 90972*w.\nAnswer: 3*w*(w - 3)*(w + 40432)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + sqrt(77) + (sqrt(77) - (-2*sqrt(77) + sqrt(77))) + sqrt(77))*-6 + sqrt(77)*2*-4)\/(-6*-1*sqrt(11)*-2))**2.\nAnswer: 2527\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -k - 14451, 2*n - n = -5*k + 4849. What are the prime factors of n?\nAnswer: 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4471443, 4471445, 4471447?\nAnswer: 4471449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -1) + 24 + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1122 = -2*v + 5588, i - 2241 = -5*v. What is the highest common factor of i and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 0)*-3 - (-13 - -14). Suppose 2*l - 3*j = 23 - 26, 5*j + r = 0. Sort 319, 0, -5, l in descending order.\nAnswer: 319, 0, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2525, -2534, -2545, -2558, -2573, -2590?\n\"Answer: -s**2 - 6*s - 2518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + 2 + -2 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14706586 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1918 - -3568. What is the units digit of -5 + 0 + x\/6 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 28*t = -45852. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1074 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h - 153*h - 1573 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -529, -2207, -5007, -8929, -13973, -20139?\n\"Answer: -561*u**2 + 5*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 155. Let z = -157.2 + d. Which is the nearest to z? (a) 1\/2 (b) -3\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(((-8)\/20)\/((-4)\/10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336090 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) 3 (c) -4\/3 (d) 1\/11 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -546 in ascending order.\nAnswer: -546, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 + 690*r**2 + 17*r + 5869. Calculate t(-345).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*u + g, -g = u - 0*u. Suppose -5*f - 17 = c, 0*f = c + 3*f + 11. Put c, u, 1 in decreasing order.\nAnswer: u, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4)\/6)\/((-20)\/990) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23346 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 180 = 3*b. Calculate the common denominator of 103\/10 and (-6)\/10 - (-2946)\/b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145711123?\nAnswer: 149, 977927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291 = 3*v + 291 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68.8 - -72.8. Which is the biggest value? (a) -3\/5 (b) -4 (c) j (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183 + x + 182 - 365.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 304514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -475669*m**3 + 3*m**2 - 9*m + 7. Let t be d(4). Let v = 17042797 + t. Round v to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1632)\/85)\/16)\/((-3)\/(-25))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3943 - -2533. Let l = 1410.00000611 + b. Round l to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 5, -33, -10, -3, 0 in increasing order.\nAnswer: -53, -33, -10, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3836?\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -12\/5*a - 19 + 6\/5*a**2 + 3\/5*a**3. Factor v(x).\nAnswer: 3*(x + 2)*(3*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + 1 + -7 + -66 + (144 - 2)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 11*m**2 + 3*m - 25. Let r be f(11). Solve 4*a = l, 4*a + l = -0*l + r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.6 and 0.044.\nAnswer: 0.5104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + q = -q + 218, d + 5*q = 62. Calculate the highest common divisor of 105 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216950 and 885?\nAnswer: 38400150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 41. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + c + 1. Let k(u) = -2*u + 14. Calculate k(p) + 2*y(p).\nAnswer: 2*p**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 + 4*z - 4. Let b(w) = -w**2 + 4*w. Let x be b(3). Find the common denominator of 63\/2 and a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 4*m + 0*m + (m + m - m)*(-321 + 56 - 73).\nAnswer: -337*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -424 + 427. Let y be -4 - r - (-2 - 7). Solve 4*q = -2*c, q = -y*c + 3*q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 57*b**2 + 729*b - 1930. Give d(40).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -145127?\nAnswer: 725635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-300)\/(-112))\/(3325\/(-7980)) - (-6)\/14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6325.87363 rounded to the nearest integer?\nAnswer: 6326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w - 21. Suppose 0 = -x + 2*x - w. Calculate the remainder when x is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3011, -5157, -7297, -9431, -11559, -13681, -15797?\nAnswer: -17907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {i: 1, w: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 161.\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*g = -10, 2*g = d - 5 + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 = 2*p - 4*u, -131 = -p - 5*u + 84. Is 44 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-511)\/14)\/((-2042)\/(-4084))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 7*l + 9. Let q be o(-5). Let f = 9 + 11. Which is bigger: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c + 3*c)*(4 - 3 + 0) + 2*c + 2 - 2 - c + c - c + (-5 + 5 + 2)*(c - c + 2*c) + 3*c - 8*c + 412 - 429.\nAnswer: 2*c - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(88) - (2*(sqrt(88) + (sqrt(88) - (sqrt(88)*-3 + sqrt(88)))) + sqrt(88)))\/(4*sqrt(128)).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 8*a - 18. Let n be x(-10). Find the third derivative of 34*d**2 + 5 - 5 - 9*d**4 - 32*d**n wrt d.\nAnswer: -216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 44*b**2 - 104*b.\nAnswer: 4*b*(b - 13)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0\/q)\/(q**4*q)*(q*q\/(q**(-1\/3)\/q)*q)**20)\/((q**(-2\/3))**(-1\/2))**(2\/63) assuming q is positive.\nAnswer: q**(15244\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -8*h + 11*h. Suppose -3*g + h = 2*g. Suppose 0 = 4*m - m - g*m. Let j(t) = -t**2 + t + 7. Determine j(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 9. Suppose -3*q + 8 = 2*y + 2, n = 4*q + 4*y. Suppose q*o + d = -0*d - 5, 0 = 3*o - 3*d - 15. Solve 30 = 5*a + 5*x, -3*a - 2*x + 4*x + 3 = o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 30060.55l?\nAnswer: 30060550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 - 2*j**3 - 2*j**3 - 3*j**3 - 3*j**3 + 4*j**3 + (4*j + 2*j - 4*j)*(-2*j**2 + j**2 + 0*j**2) - 6*j**3 + 6*j**3 - j**3.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**3\/9 - 188042*z**2\/3 - 1128271*z\/9 + 2820640\/3 = 0?\nAnswer: -5, 3, 564128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 6*y**2 - 3*y + 8. Is 13 a factor of k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44 + 201?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 103200 and -4?\nAnswer: 103204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -382, -772, -1162, -1552, -1942, -2332?\n\"Answer: -390*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 285892542 by -11754.\nAnswer: -24323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eehn. What is prob of picking 1 e and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6685826087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 485045421 and -0.3.\nAnswer: -145513626.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5*m + 100 - 119 = 0, -3*m = -9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019098406 to 4 dps.\nAnswer: -0.0191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 188*b**3 - 186*b**3 - 3*b + 2*b + b**4 - 2*b**2 + 2 as a*b + f*b**2 + x + r*b**3 + h*b**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3561042?\nAnswer: 2, 3, 593507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4 + sqrt(2736) + sqrt(2736) + -3 - -2*(sqrt(2736) + sqrt(2736) + 1)) + 3*(5 + sqrt(2736) + (sqrt(2736)*1 - sqrt(2736)))*4)**2.\nAnswer: 136080*sqrt(19) + 4452165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -11.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30, -265, -700, -1335, -2170?\n\"Answer: -100*v**2 + 65*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 plus 642493.1?\nAnswer: 642493.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1173 (b) 50 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 - 25*a**4 + 25*a**4 + (-a**4 + 3*a**4 + 5*a**4)*(-a + 1 - 1) + 4*a**5 - 3*a**5 - 2*a**5.\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -1\/42*f**7 + 0*f + 5\/8*f**4 + 23*f**2 - 1\/12*f**5 + 0 - 1\/8*f**6 + 5\/3*f**3. Suppose q(j) = 0. Calculate j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -2*g**7\/3 + g**3 + 40*g + 45. Let v(y) be the first derivative of u(y). Find the second derivative of v(d) wrt d.\nAnswer: -560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 2*v**2 - v**2)*(6*v - 4*v + 4*v) + v**3 + 0*v**3 + 3*v**3 - v**3 + 2*v - 2*v + (v - v - 2*v)*(2*v**2 + 2*v**2 - 2*v**2).\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxx. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-4) - 2)\/(11\/22). What are the prime factors of r\/(55\/10) + (-3078)\/(-11)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (6 - (-3 - -5))) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 38.2. Let p = t - 6.6. Let z = p + 26.79843. What is z rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8199 - -9528?\nAnswer: 16716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 2*j + 8*j**2 - 13*j**2 - 53 + 63.\nAnswer: -5*j**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59343016, -59343014, -59343012, -59343010?\nAnswer: -59343008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077630?\nAnswer: 2, 3, 5, 17, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*l + 31, 29 = 4*l + r - 12. Suppose -3878 - 2143 = -l*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.1 and 0.02.\nAnswer: -0.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 142900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/17? (a) -0.1 (b) 3 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104 - 81 - 77 + 32 + (0 - 1 + 0)*(-4 + 0 + 3))*(-5*v + 8*v + 4*v).\nAnswer: -1603*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 2 - -1) + (-2 - -97). What is the common denominator of -2\/9 and 6\/20*30\/(-72)*u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -63 (c) 14 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004297635 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43538936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + f**2 + 2*f - 11. Let l be k(2). Solve q = l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from jjtdto.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39.939 - 0.061. Let f = -38.429 - 0.571. Let k = f - y. Which is bigger: -0.6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3449*o - 235521 = -66888 + 103838 for o.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 11:32 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 822*d**2 - 36*d**3 - 822*d**2.\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 9*i**2 - 11*i - 10. Let s be g(-10). Solve -4*z = -s*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636*x = 6181*x + 29232 + 359337 for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10378 divided by 2.\nAnswer: 5189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 0*t + t**3 + 2*t + 14*t**2 - 25*t**2 - 4 + 16. Let x be q(11). Calculate the greatest common divisor of x and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 938106487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/64845 and 10\/38907?\nAnswer: 194535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1.1 (c) 2\/7 (d) 573\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5444 is divided by 273?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3\/5 - 4298*i**2\/5 + 8602*i\/5 - 4302\/5 = 0?\nAnswer: -2151, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 844471986?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 9:31 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, a: 5}. What is prob of sequence aaaa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(8\/3))**32\/(h**19\/(h*h**(9\/4))))**(-1\/29) assuming h is positive.\nAnswer: h**(-1603\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h = -m - 859, 2*m = -8. What are the prime factors of h?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765363\/4 + 196\/(-112) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(76)*2)\/((1*sqrt(256) - sqrt(256)) + sqrt(256)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.8, 422.9, 0.2?\nAnswer: 422.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4.2363+-141\nAnswer: -145.2363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-25))\/(8\/10). Which is the biggest value? (a) 52 (b) s (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 - 9468.8.\nAnswer: -9355.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((1 - 10)\/(-3))\/1. Suppose t*z = 4*z - 3. Suppose 2*u = -z*u + 15. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/27 + 176\/189. Factor 2\/7*f**2 - 8\/7*f + z.\nAnswer: 2*(f - 3)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0, 4, 6\/71?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) + sqrt(192)\/sqrt(192) + (2*sqrt(128))\/sqrt(8) + sqrt(16))\/(-4*sqrt(88)\/(sqrt(22)\/sqrt(2))))**2*-2.\nAnswer: -289\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, d: 7, y: 4, a: 3, s: 1}. Give prob of picking 1 y, 1 s, and 2 a.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -58. What is the closest to -1 in -0.1, -4, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwpwrppow. What is prob of picking 2 w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/8631887 at least as big as -6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 89891279843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4192 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/33 or -3\/212?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24205759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*o = 35, -11*d - 2*o = -7*d + 78. Is -58\/3 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 130*l + 257 - 128 - 129 - 90*l + 43*l**3 as b*l**3 + r + h*l + q*l**2 and give b.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15445 - -48004. What are the prime factors of b?\nAnswer: 67, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.9 - 5. Let f = 3 + -1. Which is the closest to f? (a) j (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + (sqrt(209)\/sqrt(396) - sqrt(19))**2*-5 + (sqrt(2299) - ((-2 + sqrt(2299))*3)**2)*-4.\nAnswer: -1628*sqrt(19) + 2982205\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*k**3 + 4*k**3 - 35*k**3.\nAnswer: -84*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.371 + -0.119. Let r = -0.39 - q. Let k(x) = -x - 7. Let j be k(-6). Which is the second smallest value? (a) r (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1422, -2841, -4258, -5673, -7086?\nAnswer: -8497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11.3, 0.3, -1\/6, 0.1 in increasing order.\nAnswer: -1, -1\/6, 0.1, 0.3, 11.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -591 - -988. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4509663101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**3\/q**(-2\/33) assuming q is positive.\nAnswer: q**(101\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.38 rounded to one decimal place?\nAnswer: 11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c - 59. Let i be (-225)\/(-36) + 1\/(-4). Let a be n(i). Suppose 11*g = a*g + 256. What is the greatest common divisor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 20*s + 7. Let r be b(-9). Suppose 3*v = -v + 56. Calculate the lowest common multiple of v and r\/(-6) - 2\/(-3)*1.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 - d - 1. Let p(a) = a**2 - 3*a - 19. Let c be p(-3). What is the least common multiple of u(c) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -295 + 684. Let t = c - 362. What is the greatest common factor of t and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-9)\/(-12))\/(2\/(-10))*209536\/26192?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 4*d = -2*c - 68, 0 = 4*d + 8. Calculate the remainder when c is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212\/(-2544)*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(5\/6))\/z**(1\/17))\/((z\/(z\/(z\/z**9*z)))\/z*z*(z\/z**(-7))\/z) assuming z is positive.\nAnswer: z**(11\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -39605*k**2 + 9272020*k - 542673620 = 0.\nAnswer: 10418\/89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l\/(l\/l**(-1\/23))*l)\/l)\/l)**(2\/11))**(5\/9))**(-29\/2) assuming l is positive.\nAnswer: l**(1160\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15, 4, -27, -84, -173, -300, -471?\n\"Answer: -q**3 - 4*q**2 + 8*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21622 rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 6*a - 10. Let u be y(7). Let z = u - -5. What is the units digit of z\/(-8) + (-37)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 537, 1763, 4143, 8061, 13901?\nAnswer: 22047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 56 - 352 = 0. What is the remainder when 711 is divided by v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 u, and 1 l when three letters picked without replacement from {u: 3, l: 1, v: 3, a: 3, j: 3, r: 2}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 7*m - 3. Let j be a(-8). Let b(z) = 12*z + 10. Let c be b(j). What is the highest common factor of 28 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1271 - 738. Is 41 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1984712384?\nAnswer: 2, 31011131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -150*r**2 + 74*r**2 + 1 - r + 71*r**2. Suppose 0 = -5*n - g + 2*g, 0 = -n - 3*g + 16. Give o(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o + 9. Calculate d(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 2*y + 2*y - 6*y - 11*y + 7*y + (-3*y + y + 0*y)*(0 + 2 - 4) + 3*y + 0*y - 2*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Is (q + 0 + 3)\/((-388)\/(-2667694)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3711934 and 48.\nAnswer: 89086416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 1:14 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 1. Let u(x) = -x**3 - 17*x**2 + 16*x + 2. Let w be u(-18). Let p(c) = -w + 0*c + 4*c + 39. Give p(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15068 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - u - 4 = 0, 5*c - u - 6 = -0*u. Solve -c*x + 4 = 4*v - 4*x, -3 = -5*v + 2*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-78)*1*7185\/(-23950)\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 171 and -0.055624.\nAnswer: 170.944376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -5*m + 32, -187*m + 13 = 5*b - 183*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 367991740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*j - 3554 = 67 - 301 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*r**2 - 258*r**2 + 324*r + 795*r**2 - 324*r - 265*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l**3 + 5*l**2 - l + 5. Let d(f) = f**2 + 1 + 0*f**3 + 7*f**2 - 7*f**2 + f**3. Let b(h) = 4*d(h) - j(h). What is b(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r. Let n(z) = -z. Suppose -4*q = -9*q + 40. Let u(y) = q*n(y) + 3*a(y). Let w(c) = 4 - 4 - 2*c. Give u(w(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2\/13 (b) 1 (c) -797.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -585 - -591. Let y(t) be the second derivative of 0 + 0*t**2 - 1\/6*t**3 + l*t. Let q(z) = -17*z**2. Calculate q(y(r)).\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyc when three letters picked without replacement from yzyyyyufc?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, c: 2, t: 2, b: 5}. Give prob of sequence tncb.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13729327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 4*h - 213, -1078*j - 3*h + 153 = 1081*j - 2165*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*w - 147 = 0, 0 = -3*p + 5*w - w + 126. Let -26*c + c**3 + p*c - 6*c**3 = 0. What is c?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6 - (-304)\/(-57). Let u(x) = x**3 - 8*x - 3. Let s be u(3). Is s > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2*v + 3 = -18, j = 3*v - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**4 - 925*f**3 + 40*f**2 wrt f.\nAnswer: 48*f - 5550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-3)\/(3 - 2). Let a be (m\/(-4))\/(8\/(-96)). What is the units digit of 4\/(-2) - a\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 f when three letters picked without replacement from wwwwwwfhzzwwwnnwz.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1495*z + 1099*z = -34848 for z.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 24. Let v = 19 + a. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 399 from -0.0892.\nAnswer: -399.0892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 7*m**4\/24 - 13*m**3\/2 + 21*m**2. Let s be f(10). Find the second derivative of -s*c**2 + 31*c**2 - c**3 - 23*c wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -3. Suppose o - a = -l - 1, 3*o = 0. Solve -4 = l*v - 10, -k + 3*v = 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = n + 2*b, -6 = n + 4*b + 10. Suppose -3*f = -j + 23, n*f = -4*j + 33 - 5. Solve 5*r - 5*y = 50, j = -2*y + 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 298*j - 4769. Calculate q(15).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 715 + -460. Suppose 4*o - 445 = -3*t - o, l = 2*t - 5*o. Calculate the greatest common factor of t and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + k. Let i be a(1). Suppose -i*o = -2*j - 1 + 3, 3*o = 3. Solve 3*h - 4*s + 7 = -0*h, 2*s = j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -22*((-14)\/12 - (-12)\/(-36)). Suppose -2*k - 32 = -f + z, 0 = -4*f + k + 239. Calculate the highest common factor of 413 and f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 - 2. Let h be 11\/(-6) + 0 + 24\/18. What is the closest to 1\/2 in 0.1, n, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-21))**(1\/6)*l**26\/l*l**(-7\/6) assuming l is positive.\nAnswer: l**(83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3) + (-28)\/(-63)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2516*f**2 + 1232*f**2 + 4 + 1201*f**2.\nAnswer: -83*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 18, -3, 1, 3\/38, -4\/9?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)*-1 + sqrt(98))*3)**2 + ((sqrt(98) + -2)*-6)**2.\nAnswer: -1008*sqrt(2) + 3672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 8:34 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 5*x**2 - 5*x - 1. Let a be y(6). Suppose l + 5 = 0, -3*l - 2*l = a*i + 5. Let q = 3 + -2.8. Sort q, i, 0.4.\nAnswer: q, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/6*-1*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u**2 - u. Let f be g(-2). Suppose 0 = 5*w - f + 10. Suppose n + 2*l = 2*n - 134, 3*n + w*l = 362. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 840924.2 millimeters to nanometers.\nAnswer: 840924200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*c + 155*c - 473 = -183*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2450 and 27.6?\nAnswer: -67620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 16\/1365?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3 = -11. What is the greatest common factor of 8 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 7 + 3. Let z(w) = -w**q - 7 - 7 + 7*w + 8. Let d be z(5). Solve 5*y - 3*y + d = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v + 5. What are the prime factors of y(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-124)\/10 + (-2)\/(-5). Let k be (-1)\/2 - 54\/s. Let u be 3 + -1 + k + -2. Solve u*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 - 5*a - 3. Let m(h) = h**2 + 14*h + 14. Let l be m(-15). Let g(i) = -l*i + 2 - 2*i**2 + 62*i - 29*i. Give 4*b(w) + 5*g(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480) + -5*(sqrt(480) - sqrt(480)*3))\/sqrt(12))\/(3*((sqrt(24)*-2)\/sqrt(3) - sqrt(8))).\nAnswer: -11*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 + 255. What is the highest common divisor of 48 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 5627754.\nAnswer: -16883262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**3 - 2. Let v = 23 + -18. Let a(x) = -x**2 - v*x**3 - 2*x**3 - 6 + 9. Let y(c) = 2*a(c) + 3*w(c). What is the third derivative of y(o) wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -238, 3, -2, 1, -7 in ascending order.\nAnswer: -238, -7, -4, -3, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 2326 less than 2322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2704, 2705, 2708, 2713?\nAnswer: 2720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 - 91934*n**2\/5 - 183862*n\/5 - 18386.\nAnswer: -2*(n + 1)**2*(n + 45965)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -43. Suppose -j + 4*j + 32 = 4*m, 4*m - l*j - 28 = 0. Put -1, 0, m in increasing order.\nAnswer: -1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - sqrt(18))*-5)**2 + sqrt(16)\/(sqrt(64)\/sqrt(2)).\nAnswer: sqrt(2)\/2 + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 31 + 0\/(3\/(15\/(-50)) - -8)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -533168, -1066400, -1599632?\nAnswer: -2132864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51840 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18325 by 3.\nAnswer: 18325\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*r - 2*n, 2*r = -83*n + 85*n - 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 0. Let j = 18647 + -18556. What is the remainder when j is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 4\/5*m**3 - 8 + 1\/15*m**4 - 2*m + 0*m**2. Factor d(y).\nAnswer: 4*y*(y + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 185\/((-1)\/(-2) + -2 - (-369 - -367)). Solve -373*h - 21 = -o*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-299 + 104 - 164)*(3*o**2 - 4*o**2 - o**2 + (-3 - o + 3)*(4*o + 0*o - 2*o) - 2*o**2 - 1 + 1 - 6*o + 6*o - 2*o**2).\nAnswer: 2872*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8560\/(-80) - -80) + 31\/(-1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -40. Suppose 325 = u*q - 0. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 7*k**5\/20 - k**2 + 2*k. Let z(j) = -j + 1. Let d(f) = 3*f - 4. Let q(t) = d(t) + 4*z(t). What is q(m(u))?\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/9? (a) 1\/46 (b) -0.4 (c) -0.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 6\/(6\/7). Suppose -2*l + 14 = -p*w - 6, 2*l + 28 = -4*w. Let r(u) = -u**2 - 11*u - 7. Is r(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 6 - (24 - 18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418052 is divided by 1697.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836455581.\nAnswer: 3, 13, 7149193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*(p*p\/p**(-1\/4))\/p))*p*(p\/(p\/p**(-5))*p)\/p*p*((p**2*p)\/p)**(2\/13))\/((p**2)**18)**50 assuming p is positive.\nAnswer: p**(-93623\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 784*u + 262*u + 101*u to the form m + g*u and give g.\nAnswer: 1147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a century in months?\nAnswer: 15900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73 + 1033323?\nAnswer: 1033230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94107.28 grams to tonnes.\nAnswer: 0.09410728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -193 - -396. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w - 29*w + 13*w + 6*w + 0*w - 6*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24187147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.37 - -0.6. Let f = k + -0.22999978. What is f rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/(155\/(-50) - 6\/15 - (-15 - -13)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -2*o - 110. Suppose o = 5*q - 4*q. Let x = 35257 - 35234. Is x less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142 + -26. Let b = 88.7862 - -27.1328. Let a = b - u. What is a rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 10 - 16. Let l(s) = -4*s**2 + 10*s**i - 2*s**2 + 0*s**2 - 5*s**2. Let v(h) = 26*h. Determine v(l(y)).\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*h = 7, -f = 2*h - 2 - 3. Let p be 8\/(-6) - -2 - f. Is p >= 0.25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.37.\nAnswer: -0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 19*x - 61. Let f be o(-14). Let d be (14 - (f + -5))*(-3)\/6. Let v(a) = -2*a**2 - 8*a - 3. Determine v(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:38 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 12) to base 11\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 6*p**2 + 5*p - 4. Let j be t(5). Let a = 7 + j. Let 3\/5*c**2 - 3\/5*c**a + 0 + 0*c = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 564335020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 39*a - 608. What is m(15)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(243)\/sqrt(9) + sqrt(75) + -1 + 3).\nAnswer: -40*sqrt(3) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1748602?\nAnswer: 2, 874301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 - 39*j**2 - 172*j + 172*j.\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 1617744\nAnswer: -4853232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -945, -1627, -2349, -3099, -3865?\nAnswer: -4635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 + 1797\nAnswer: 1796.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 11*z + 21. Suppose -2*i - 4*f = -2, -2*i + i + f - 14 = 0. Let q be x(i). Solve 0 = -3*c + 3*u + 5 + 1, -q*c - u - 6 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438 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: Solve 27*m + 2*u = 29*m - 8, 2*m = -u - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 3:42 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2245 + 2250. Let q(n) = n**2 - 8*n. Let v be q(8). Let l be -2 - (v - (-18)\/(-3)). Solve -27 = 3*d - l*z, 2*d + 1 = -r*z + 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*w + 5*s, s + 6 = -2*w - 0*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-297)\/60)\/(-9) - 5\/(-25). What is the third smallest value in r, -4, 1\/10, -25?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*8892\/7904?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 274.3 - 274. What is the nearest to 0 in -4\/3, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5\/3 + 67900\/1164 and 10\/(-4)*(2 - 6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1518040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by -4.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 11. Suppose -4*z + 22 = -j*z. Let f(u) = 763637*u - 7. Let r be f(z). Round r to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 856\/6 - (10\/(-3) + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h + 57. What is t(20)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 5, -1\/8, 4, -22?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 74 - 484. Let l = h + -77. Solve l*u - 3*u = 3*v + 2, -4*v - 2*u + 2 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - -3. Let r = -2 + w. Let c = 9 - r. Is c less than 2.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*p - 15*p - 3 - 1 wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfafyakl. What is prob of sequence aly?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/5 of a day?\nAnswer: 4032","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -891*x**5 + 19146*x**3 + x**2 - 118963*x - 2 wrt x.\nAnswer: -53460*x**2 + 114876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 + (-464)\/10)\/((-9)\/12 + (-942)\/(-1240))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1371448 + 7*t - 685726 - 685722.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/3, -2, -0.09, -0.2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 + ((-8)\/26)\/((-32)\/208) - -37. Solve -b*a + 140 = 38*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48924564.\nAnswer: 2, 3, 13, 313619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 31. Let b be v(-30). Let g = 61 - b. Solve g = l - 3*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -231, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -28. Let t be u - (3 - 0)\/3. Let y = t - 9. What is the least common multiple of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15641 by 174.\nAnswer: -15641\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 12*n**2 - 12*n + 13. Let t be q(-13). Suppose -12 = 6*u - 4*u + 3*v, -2*v - 8 = t. Factor -2\/7*y**3 + 0*y + 2\/7*y**4 + u*y**2 + 0.\nAnswer: 2*y**3*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 8:19 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4) - (42172\/(-2912) - (-5 + (-45)\/5))?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 6*x**2 - 7*x - 5. Let i be y(7). Let u be 1 + -1 + 0 - -2. Sort i, u, -4 in ascending order.\nAnswer: i, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-3))\/2)\/(-1)*15\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-18407)\/(-158) + -40).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-4*sqrt(2904))\/(sqrt(3200)*-1 + sqrt(32) - sqrt(32)))**2.\nAnswer: 363\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 5:41 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z = 24. Let o be 3 - 0 - 39\/z. What is the nearest to o in -3, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -22, -40, -58?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 128271607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + k = 5, 0 = -l - 0*l + 4*k - 20. Suppose l = -5*o + 65 + 50. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-10 - (-2 + -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -181836012, -181836011, -181836010?\n\"Answer: g - 181836013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1649*c**5*z - 2*c**5 + 10*c**2*z - 2*c**2 + 19*c*z wrt c.\nAnswer: -98940*c**2*z - 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.900455km?\nAnswer: 4900455000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/(-143) + (22\/13)\/(-2*1). What is the nearest to g in -0.1, 1\/3, -5, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 518*i**2 + 34*i - 7. Is c(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/582 and -39\/44?\nAnswer: 12804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/8)\/(-69*(-97)\/(-17848))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.86 times -2?\nAnswer: 3.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1508 + -1508. Which is smaller: 1\/4254 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + -45 - (-5 + 2 + 21) - 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2342669 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22780, -22930, -23080, -23230, -23380, -23530?\n\"Answer: -150*n - 22630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 7*s**2 - s + 9. Let w be c(7). Solve -r + w = 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 608367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*z - 172*z - 159*z**3 + 103*z - 854*z**3.\nAnswer: -1013*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162)\/2079*14*(-2)\/24.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1605 times -0.4?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139 - 40 + 67)*(27*d - 32*d - 2 + 1).\nAnswer: -830*d - 166","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-32)\/((-2464)\/(-21))*77\/28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 209. Let h = -292 - t. Let g = h - -333. What are the prime factors of g?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783286070 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 6\/11, -0.1, -4\/9, -0.081?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 3. Let a = q + 0.5. Round a to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*g = -4*b - 2, -4*b - g = -11. Let a be 10\/4 + (-1)\/b. Let r**a + r**2 + r - r**2 - r**4 - r**3 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15133368*i**2 + 4722108*i?\nAnswer: -30266736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 21 = -5*q, -12 = 4*q + l + 3*l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (2 - -7 - (38 + 1))) + 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a microgram in nanograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 20 = 2*c, 0 = 5*q - 28*c + 29*c - 24. Suppose q = x - 0*x, h = -x + 1385. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1068 - -103592\/97. Let y = w - 11099\/1358. What is the common denominator of -137\/42 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 6*l**2 - 6*l + 1. Calculate the remainder when s(-5) is divided by -4 + 36*1 + (0 - 3).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -5, 5, 2316 in descending order.\nAnswer: 2316, 5, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 110011101101000110001?\nAnswer: 110011101101000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 88*s**2 + 35*s + 1417. Is k(69) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3521*w + 6. Let i(m) = -587*m + 2. Let p(r) = 6*i(r) - o(r). Suppose 2*h - 5*h = -48. Let f = h - 8. Determine p(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105 + -95. Suppose -16*l + o*l = -960. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.363522 millilitres to litres.\nAnswer: 0.000363522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4918063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 77473?\nAnswer: 77471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/60 and -33\/476?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 652*g - 342277 + 3318*g + 684553 - 342277 as n + p*g and give p.\nAnswer: 3970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60012 = 3*c - 3*z, 5*z + 31580 = -3*c - 28400. What is c rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 84, 157, 250, 357?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 68, -3, -10, 9 in ascending order.\nAnswer: -10, -3, 4, 9, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 48. Solve -z = -5*a - 7, z + 3*a = -c*z + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(75) + 0)*3.\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 8725.\nAnswer: -4362.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539579774 to the power of 1\/4, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 1177196*w**2 + 1177196*w**2.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + w - 6*w + 361, -2*h = -3*w - 175. Let b = 292 - h. What are the prime factors of b?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 11. Let s be g(-8). Suppose -2 = w - s. Suppose 4 = 3*f + w. Which is smaller: 4\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345281 + 345281 + 5629*z.\nAnswer: 5629*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -8\/3, 2\/3, 0, 1\/7, 12 in decreasing order.\nAnswer: 12, 2\/3, 1\/7, 0, -8\/3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d + 6*d + 16 - d - 3*d. Let z(l) = 80*l - 153*l + 71*l. Let f(o) = 6*o. Let c(v) = -f(v) - 4*z(v). Determine c(j(g)).\nAnswer: -4*g + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)\/(u*u*u**(-3\/2)))\/((u**(-3\/8)*u)\/u*(u*u*u*u**6)\/u) assuming u is positive.\nAnswer: u**(-73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3198074 is divided by 799447.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 103926236 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*2 - (-28)\/(-7). Let u = -17 - t. Let y = u + 6. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 39. Suppose -y - q - 12 = 0, y - 6*q + 24 = -11*q. Let x be f(y). Calculate the greatest common factor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968176475 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -690157 take away 7048706?\nAnswer: -7738863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*d + 3*v, 0 = -3*d - 4*v + 8 + 25. Let f = -7 + d. Let w(t) = -t + 7. Let s be w(0). Solve -s - f = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -308547384 and -308547384 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 177*q**4 + 142*q**4 + 47*q**4 + (-q**3 + 0*q**3 - q**3)*(-1 + 1 - q) to the form r*q**2 + l*q**3 + p*q**4 + v*q + c and give p.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 5*n + 5 - 0, 0 = 5*m - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 - 68 - (-1 - -11) - -13 - -10.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(sqrt(75)*-2*2*4 + -6*((sqrt(75) + -3)*-3 - sqrt(75))))**2.\nAnswer: -38880*sqrt(3) + 69439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**1\/(f*f*f**(-6)\/f) assuming f is positive.\nAnswer: f**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 2:55 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4 + 3099*v**3 - 210621*v**2 + 362565*v + 3067200 = 0. What is v?\nAnswer: -3, 5, 71, 960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1207832 divided by -11.\nAnswer: -1207832\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*y**2 + 2\/3*y + 4\/9.\nAnswer: 2*(y + 1)*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -39. Suppose j*q - 5*q = -5*r + 2, q + 4*r = 7. What is the second derivative of 3*f**2 + 7*f**4 - 6*f**2 - 14*f + q*f**2 wrt f?\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 2\/5*y**5 + 0*y**3 + y**4 - 2*y**2 - 2*y - 13. Suppose n(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + 52 + (3 - -1). Calculate the highest common divisor of w and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1759195, -1759186, -1759177, -1759168, -1759159, -1759150?\nAnswer: -1759141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7807058 to the power of 1\/2, to the nearest integer?\nAnswer: 2794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*u - 101*u + 236 = -61*u. Solve 216\/11 + 6\/11*x**u + 72\/11*x = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7208236 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 41\/3, 2, 1 in decreasing order.\nAnswer: 41\/3, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/k**(-8\/9)))*k**3)**(-21\/8)*((k\/((k*k*(k*k\/k**(-4)*k)\/k)\/k)*k)**(-1\/3))**(41\/5) assuming k is positive.\nAnswer: k**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {a: 5, t: 9}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4587304753\/25488 - 179979. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 43. Let n be s\/(-1)*(21\/2 - 1). Suppose 16 + n = 3*i. What is the least common multiple of 22 and i?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q*t**2*u + 2*q*t**2 + 2*q*t*u + 4*q*u - 29*q + 2*t*u wrt t.\nAnswer: 2*q*t*u + 4*q*t + 2*q*u + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 8:48 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3642636399 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 0 - -1) + 91 + 3667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w - 25. Let s(c) = 5*c - 13. Let m(a) = 4*n(a) - 7*s(a). Let q be m(11). Solve 7*i = q*i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 2\/11 (c) 39\/7 (d) -0.3 (e) 1 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 14761773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 142460901 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 93*r - 186 = 0, -5*a - 670*r + 675*r - 10 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/32 of a second?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -569, -1139, -1709, -2279, -2849, -3419?\nAnswer: -3989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19745 + 25465. What is the highest common factor of v and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(16 - -5)*-8517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -325, -0.5, 0.4, 1, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/24 + 5\/168. What is the common denominator of m and 76\/(-6)*6\/22?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19) - (sqrt(19) + sqrt(38)\/sqrt(2) + sqrt(19) + 2 - sqrt(19)))**2)*3.\nAnswer: 15*sqrt(19) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**2 + 0*c - 2\/5*c**5 + 9 + 0*c**3 + 0*c**4. What is the second derivative of d(j) wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*f - 732 = 0, -4*i + 262 = -f + 1014. Let j be 1493\/3*6\/(-16). Let n = j - i. What is the smallest value in 0, 4, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -6)*((-286)\/(-78) + 12).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 + 137 - 14*x**2 + 13*x**2.\nAnswer: 2*x**2 + 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b\/(b\/(b**(-4\/9)*b))*b*b)**4\/((b**3*b)\/(b*b**(-3\/4))*(b\/(((b*b**3*b)\/b)\/b*b))\/b**(-2\/19)) assuming b is positive.\nAnswer: b**(935\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 71*p**2 + 447*p + 17. Determine a(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81.6 - 0.09.\nAnswer: -81.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 + (1 - (3 + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-2) - 6 - 57. Let l be b\/9*6\/(-4). Suppose -6*q = -l*q + 20. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5*c - 431 - 113, 5*i - 880 = 5*c. List the prime factors of i.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 > 6169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 4*r = -21*n + 58 - 860, 0 = n + 4*r + 42 for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-5))\/s)\/s**(-5\/3))**(-31)*(((s**1\/s)\/s)**38)**50 assuming s is positive.\nAnswer: s**(-5390\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 21. Suppose -2*z - 3*b + 89 = h*z, b = z - 13. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 815923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4273 - 4175. What is the greatest common factor of g and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 bigger than -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 4*q**2 - 6*q - 13. Calculate i(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**5\/48 - 53*j**4\/96 - 11*j**3\/12 + 26*j**2 + 56. Let x(i) be the second derivative of q(i). Factor x(u).\nAnswer: (u - 11)*(5*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9044029l in millilitres?\nAnswer: 904.4029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Suppose v = -3*c + 2*m + 19, -15 = -c - 0*m + 5*m. Put 2, c, 0.2 in descending order.\nAnswer: c, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 26 (c) 98\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 = 5*k + 12. Differentiate -22 + k + m**4 + 4*m**4 with respect to m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -2, -3536, 1, 7 in increasing order.\nAnswer: -3536, -5, -2, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 22158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 30.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -237, -314?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -232356280 and 661444.\nAnswer: -231694836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 7*k - 140. Let h = 79 - 33. Calculate the least common multiple of h and k.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {w: 3, y: 13}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 12*m - 9*m + 6, 4*z + 4 = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 21 = -5*x, -15 - 3 = 3*s - 3*x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.2502 - 0.1672. Let h = t + 0.017. Let b = h - 3.10015. Round b to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30270695 and 343.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8\/6)\/(76\/281181*1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 85476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2172895 is divided by 4009.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)\/v**(-3\/8)*(v*v\/((((v**(1\/3)*v)\/v)\/v)\/v))**(-35))\/(v**(2\/7)\/((v**1*v)\/v)*v*v\/((((v*v**(-3))\/v)\/v*v*v)\/v)*v*v**(-2\/3)) assuming v is positive.\nAnswer: v**(-22777\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-24035 - -5 - -5)*9\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -0.3, 2\/21, 2 in increasing order.\nAnswer: -0.3, 2\/21, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -50401717 (c) -5 (d) 1\/5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 26, 277 in decreasing order.\nAnswer: 277, 26, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 6:25 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6 * -2439.19.\nAnswer: -6341.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -1574*p**7\/21 + 5*p**4\/6 - 51*p**3\/2 + 73*p + 16. What is the third derivative of r(m) wrt m?\nAnswer: -188880*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.22 - 731.22. Let x = s + 575.6. What is x rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4*(2*sqrt(6) + sqrt(6))*-2)\/(sqrt(36)\/((sqrt(120) + sqrt(120) + sqrt(120) + -4*sqrt(120) - sqrt(120))\/sqrt(10))) + 2)**2.\nAnswer: 768*sqrt(2) + 18448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47, -552, -1057, -1562, -2067, -2572?\n\"Answer: -505*z + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*p + 4*q - 53, 5*p = 5*q + 165. Let l = p - 8. Suppose 0 = t + 2*j + 8, -l = -5*t + j + j. Solve -t*k = 5 - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -892*p**3 - 133*p**2 - 16*p + 6408?\nAnswer: -5352*p - 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 29, -18?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35224*z**3 + 22203927*z?\nAnswer: 211344*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -16. Let k = -9 - m. Let z = k + 19. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -5 (c) -1.25 (d) 2 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/10 and 61\/24928.\nAnswer: 124640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 144039, -5, 14, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 43*r - 5. Suppose 4*n - 8 + 52 = 0. Let f = n + 15. Is j(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to -3.0374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**6\/120 - b**5\/30 - b**3\/2 - 212*b**2. What is m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 299, 334, 389, 458, 535, 614, 689, 754?\n\"Answer: -s**3 + 16*s**2 - 6*s + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 15*v + 944. Calculate n(-55).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11)*h\/(h*h\/(h\/((h*h**(4\/11))\/h))*h))\/(h*h**1*(h**(-15)\/h*h)\/h) assuming h is positive.\nAnswer: h**(18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -62?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 185352475 by -674009.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -16. Let y(t) = -2*t - 2. Let f be y(x). Let j(g) = 2*g**3 - 8*g**2 + g - 6. Let i be j(6). What is the greatest common factor of i and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 212 - -170?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 11:57 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caccecxem. Give prob of sequence em.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-890)\/(-4)*176\/10. Let s = b - 2705. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 4*j + 4*j)*(1394*j - 2*j**3 - 9636*j + 4571*j).\nAnswer: -4*j**5 - 7342*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/2 - 5 - (7 - 8)) + -19.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b + 35?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9678452*j**3*m - 28472*j**2*m + 19*j**2 - j*m wrt j.\nAnswer: -58070712*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**4\/3 + 3*h**3 - 40*h**2. Let t(k) = 4*k + 9. Let y(m) = -5*t(m) + 3*w(m). What is y(-7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 23*l + 618. Determine s(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 302191 = 68596. List the prime factors of s.\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.33 in -0.3, -0.12, 2\/5, -0.1, -2796, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 324\/(-2340)*13*5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5 + q**4 - 3*q**4 + 0*q**5 - q**5 + 4*q**3 = 0. What is q?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68896 less than -3750.777?\nAnswer: 65145.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + 21 + 7 + 3 + -51?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 2. Let a be p(0). Let n(y) = y**2 - y**2 + 3*y**a. Let c(m) = 2*m**2. Calculate c(n(k)).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x + 2*w, -4*x - 5*w + 2 = 1. Solve 0 = x*i - 3*i + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 90 + (-75 - 34).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48719 is divided by 11973?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + w)*(-2*w**3 - w**3 + w**3 + (-w - 1 + 1)*(145*w**2 - 9192 + 9192)).\nAnswer: -147*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -138 + 151. Let c = -14 - -10. Let z = v - c. Put z, -5, 2\/5 in increasing order.\nAnswer: -5, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -101300?\nAnswer: -101303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 7 = j, 0 = 5*j - 2*v - 15 - 16. Suppose 0 = -0*c + 3*c - 30. Suppose -j*u - c = -k + 17, 0 = k - 2. Let s(x) = x**3 + 5*x**2 + x - 1. Give s(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*y + 23 = 87, 4*u - 52 = 4*y. Solve -4*t = -2*s - u, 4*s + s = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 330?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + ((-5*sqrt(36)\/sqrt(6))\/(sqrt(2) - sqrt(20)\/sqrt(10)*-3))**2).\nAnswer: 695\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1873 - -1873. Let p be 2 + (18\/105 - 2\/(-5)). Which is bigger: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*s = 3*c - 33, -2*c + 4 = 3*s. Let o = -13 - -2. Put c, -4, o in descending order.\nAnswer: c, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 301 and 844060.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n = 0. Suppose r = -5*i - 28 + 4, n = 3*r - 3. Put 1, i, 2 in descending order.\nAnswer: 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a. Let g(y) be the first derivative of -y**2\/2 - y + 21. Let o(h) = 35*h + 28. Let k(l) = -28*g(l) - o(l). What is k(w(z))?\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - 2 - w**2 - 4*w)*(5*w**2 + 3*w**2 - 5*w**2) in the form u*w**2 + g + p*w + m*w**4 + c*w**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -988 divided by -247.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-252)\/315)\/(478\/(-5)). Which is the third smallest value? (a) -2\/5 (b) q (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.2261 + -0.3261. Let p = -5.8 + -0.1. Let d = p + c. Is -0.9 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*h - 34*h + 1446. Is 483 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-632)\/237*(76\/848 + (-1)\/(-4)). Is 0 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 15*l**2 - 7*l - 201. Give g(-19).\nAnswer: -1512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*j + 123*j - 476*j + 119*j + 121*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86739390*v**5 + 80396357*v wrt v?\nAnswer: -1734787800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4568?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10) - 77\/(-14))\/(-2 + (-889)\/(-427))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -35*w**2. Let d(q) = q. Calculate l(d(x)).\nAnswer: -35*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 take away 8574552?\nAnswer: -8574552.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**2 - 43*c**2 + 19*c**2 - 2*c - 14*c**2.\nAnswer: -51*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 3*z**2 + 9*z - 19. Calculate the remainder when 1141 is divided by l(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/41? (a) 1 (b) -1\/4 (c) 5\/2 (d) 5 (e) 2\/1241\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.99 - -0.01. Let t = 4255732.99883 - 4255704. Let q = o - t. What is q rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-4 + 424 - -4). What are the prime factors of (0 - c) + 66\/(-11)?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 318 = -3*j + 2*n, -5*n = -2*j - 212. Let v = 194 + j. Let b = 13170 + -13155. Calculate the remainder when v is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51375 times 0.0353\nAnswer: -1813.5375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 s, and 1 o when four letters picked without replacement from {d: 1, l: 3, s: 2, o: 6}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (8 - 6)) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 72*z**2 + 108*z + 2567. Determine g(-73).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 11 = -3. Suppose -2*i - 8 + 38 = -3*t, -14 = -i + r*t. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 3) + (3 - 5). Let w(k) = -k - 2. Let d be w(m). Suppose d*s - 6*s = 0. Sort s, -3\/2, 0.04 in decreasing order.\nAnswer: 0.04, s, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - 654*m - 705*m + 2014*m - 655*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 15 = -2*w. Let u be 111\/15 + 18\/30. What is a in 4*a**4 + w*a**2 - 5*a**5 - 22*a**4 + u*a**4 + 5*a**3 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 53. Let x be (v - 2)\/((-4)\/293974). Let l = -747961 - x. Round l to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35739*y - 5*r = -35657*y + 235, -5*y + 2*r - 95 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -2\/3 (c) 3 (d) 114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 4 = -3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/2? (a) 1 (b) -0.02 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 19443444?\nAnswer: 19443444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.436 + 4.564. What is the second biggest value in o, -4, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/264)\/((-180)\/165)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 6*h**2 + 2*h - 4. Calculate the remainder when 58 is divided by t(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2303 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -333 + 2*c**2 + 668 - 334 + c**3 - 4*c - 3*c**4 to w*c**2 + f + s*c**3 + a*c + n*c**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3 - 232*o**2 - 3584*o - 10880 = 0.\nAnswer: -34, -20, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*x**2 + 4 + 2 + (x + x - 4*x)*(3*x - 2 + 2))*(-x**2 + x**2 - x**2).\nAnswer: 4*x**4 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208972*t**2 + 4747*t**3 + 208972*t**2.\nAnswer: 4747*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -28. Let c be (-2 - 3\/(-2))\/(q\/(-16)). Solve 3*v + 21 = 4*k + 5, 5*v - 8 = -c*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**6\/12 - 407*w**5\/3 + 1381763*w**4\/24 - 153002*w**3\/3 - 38307*w**2 - 264. Find g, given that s(g) = 0.\nAnswer: -1\/3, 0, 1, 678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 114?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)*t*t)**(-25)*(t\/(t*t*t**(-2\/3)\/t*t)*t*t)**(2\/61) assuming t is positive.\nAnswer: t**(-31985\/732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -374\/237 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149292724 is divided by 988?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*k**2 + 1 + (-4*k + 3*k + 0*k)*(-4*k + 3*k + 3*k) - 5 + 5 + k**2 + (3 - 3 + 2*k)*(4*k - 3*k + 2*k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6810028077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from yyffffjefd.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 34. Let s(d) be the second derivative of -3*d + 0 + 1\/10*d**5 - 1\/3*d**4 + 1\/3*d**3 + g*d**2. Determine a, given that s(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 845084 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1734 and -41.7?\nAnswer: 7.23078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 66 = -50. Let d be 26\/(-12)*2 - (3 + -7). Which is the closest to -14? (a) -2 (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 + 51 + 62 - (2 + 21 - 0).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -12135?\nAnswer: 12135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 141 = -3*k + 4*b, 2*b - 242 = -5*k. Let v = k + -30. Suppose v*s**5 - 16*s**5 - 3*s**4 - s**4 + 2*s**3 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8378 + -8378.0000014461. Round g to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5\/7 + 3108482*q**4\/7 + 1610444426880*q**3\/7 + 278114089853542400*q**2\/7 + 278112479412224000*q\/7 = 0.\nAnswer: -518080, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*u + g - 4, -9 = -3*u + 3*g. Suppose 5*i = -5*i + 20. What is the closest to u in 0.2, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.385 times -3\nAnswer: -1.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*c + 5 = -3*x, -4*c = -3*x - 10. Let k be ((-2)\/(-3))\/((-2)\/6). Is k >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 695335567 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/65 - 64\/(-10). Let r(l) = 3 - 16 + p*l**2 - l**3 + 4 + 4*l + 0*l. What is r(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430 = m - 425 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15336\/1152 - 13)*-8?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -443363872 or 1?\nAnswer: -443363872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -2*p. Suppose t - 240 = -p*t. Let u = 86 - t. Find the common denominator of u and -7\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 133 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.8 - 30.7. Let a = o + 19. Is -0.1 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-209*q + 190*q + 3 - 10)*(1 - 1 + 2).\nAnswer: -38*q - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 60.9436 and 0.54.\nAnswer: 32.909544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-12)\/(-960)*8)\/((-1)\/(9\/(-21)))\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -39. Suppose h + 5*r - 17 = 0, -s*h - r + 11 = -2*h. Let l(c) = c. Let m(g) = 21*g - 3. Let q(b) = -15*l(b) + m(b). What is q(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(49) - (sqrt(49) - sqrt(98)\/(sqrt(2) - (sqrt(2) - (sqrt(2) + sqrt(2)*-2)))))\/sqrt(7))**2.\nAnswer: -10*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.38?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -13*q - 6 - 1 + 2 + 12*q. What is k(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*z - 4*l - 21, -12 = -4*z - 4*l. Suppose -82 = -54*s + 80. Sort z, 0, s, 5.\nAnswer: 0, s, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 13599996 = -4*u, 0 = 5*u - h + 6*h - 17000020. Suppose -u = -x + 2*x. What is x rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 104*o**2 + 7279*o + 84. Determine w(-70).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10643206 (base 7) to base 16.\nAnswer: e44d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1512 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57696244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115.5 - 105. Let i = -10.6 + x. Which is the nearest to i? (a) 5\/9 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5929)*-3*4)\/(sqrt(700) + (sqrt(700) - (sqrt(700) - sqrt(700)*-1)) - (1*sqrt(448) - sqrt(448) - sqrt(448))).\nAnswer: -33*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02550883 to 4 decimal places.\nAnswer: 0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 86343919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + ((-101906)\/(-20) - -4). Let p = m - 5082. Let q = -524 + 20911\/40. Calculate the common denominator of p and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.2 (b) -2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*p + 4, -g + 3*g - 16 = -5*p. Suppose g + 1 = x. Factor -2\/3*s**5 - 4\/3*s + 0 + 10\/3*s**x - 6*s**3 + 14\/3*s**2.\nAnswer: -2*s*(s - 2)*(s - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 4*v - v + 12)*(978743 - 978743 - 501*v)*(-2 + 2*v + 0 - v).\nAnswer: 501*v**3 - 7014*v**2 + 12024*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44619413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.892*1.\nAnswer: 0.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29662407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 3*i**2 - 4*i - 5. Let d(v) = 2*v + 12. Let q be d(-7). Let n be o(q). Which is the nearest to n? (a) -6\/11 (b) -0.3 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 5:27 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s + 10*s + 4*s**3)*(4 - 4 + 5).\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -17.21233009.\nAnswer: 18.21233009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(264) - (sqrt(264) - sqrt(264)*1))\/sqrt(12) - sqrt(22))\/(sqrt(176)*-4) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let d be k\/2 + 8\/(-7). Let c be 12\/(-27)*3*(-1)\/4. Sort d, c, 3\/7 in ascending order.\nAnswer: d, c, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + (sqrt(28) + -1)**2 + 1 - (sqrt(28) - (sqrt(1792) + -3)**2).\nAnswer: -100*sqrt(7) + 1831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67? (a) 0.4 (b) -0.4 (c) 0.04 (d) -0.02 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7821974 to the nearest integer?\nAnswer: 2797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 7*g + 12. Suppose 7*l = 5 - 40. Calculate the lowest common multiple of 6 and x(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 12 = -3*d, -8*d - 40 = m - 18*d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -38650208 >= -38650193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -9130.7 to the nearest 100.\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26543207?\nAnswer: 29, 915283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 185291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.03642178 rounded to 4 decimal places?\nAnswer: -3.0364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4580 + 11047. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -0.5, -2\/77, 217?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 3*p + 13. Determine m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4505099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10746531\/23 or 467241?\nAnswer: 467241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52704185441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 14*n**2 + 11*n - 21. Let f be i(-13). Suppose -f*j - 55 = -2*o, 4*j + 43 = o + 8. What is the remainder when o is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 12:20 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22356592.\nAnswer: 2, 1397287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124 + 2414032?\nAnswer: 2413403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -734289*l*o**4 + 2*l*o**2 + l*o + 17*l + 3*o - 1773 wrt o.\nAnswer: -8811468*l*o**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2554366, -5108742, -7663132, -10217542, -12771978, -15326446, -17880952, -20435502?\nAnswer: -22990102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1\/2, -0.4, 5, -14, -4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14390 - 14300 - 337*c**3 + 335*c**3.\nAnswer: -2*c**3 + 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a microsecond in nanoseconds?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1264244 and 308716?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -96, -105, -96, -69, -24?\n\"Answer: 9*c**2 - 36*c - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1496 + -1472. What is the remainder when 840\/9 - 2\/6 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 3, b: 2, k: 1}. Give prob of picking 1 k and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 0 - 17*y**2 + 0*y**3 - 7\/24*y**4 + 0*y. Let s(o) = -2*o**2. Calculate s(k(q)).\nAnswer: -98*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*c + 12, 5*a = 3*c + 3386. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y + 2 - 6 - 1 - 2 - 4*y**2 - y**3. What is the remainder when k(-5) is divided by (-2)\/(-10) + 14\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207181 is divided by 2651.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + m - 22 = 0, -24*m - 19 = -2*b - 21*m. Sort b, 2, -1, -6 in descending order.\nAnswer: b, 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-924) + 1157\/77. Solve -l + z = -5*l + 13, y = -5*l + 5*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a**2*h**2*v**3 + 3*a**2*h**2*v**2 + 2*a**2*h**2 + 27*a**2*h*v**3 - 5*a*v**2 - 3*h**2*v**2 wrt v?\nAnswer: 84*a**2*h**2 + 162*a**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.034 + 0.534. Let q = 5.4 - 5. Which is the fourth biggest value? (a) q (b) -1 (c) k (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -940*w - 15744*w - 194*w.\nAnswer: -16878*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 11*m - 13. Let q be o(12). Let u(d) be the second derivative of 0 + 0*d**3 - 1\/2*d**2 - 3*d + 7\/20*d**5 + 0*d**4. Give u(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*f - 2. Let u(j) be the third derivative of j**6\/40 - j**5\/30 - j**4\/12 + j**3\/6 - 77*j**2 + 5*j. Calculate u(f).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -4, -7, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300272434 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j = -45. Let z = j + 39. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137 - -206. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41877, -83751, -125615, -167463, -209289, -251087, -292851?\nAnswer: -334575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 98873770 to the nearest one million.\nAnswer: 99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6ebd - -5a?\nAnswer: 7028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218355?\nAnswer: 3, 5, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9027*g**3*u**3 - 11*g**3*u + 5*g**2*u**3 + 1669*g**2*u - 2*g*u**3 - u**3 wrt g.\nAnswer: -54162*u**3 - 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*b*m**4 - b*m + 292*b + m**4 - 8*m - 2 wrt m?\nAnswer: -108*b*m**3 - b + 4*m**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from vnjnn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -1\/6, 3, 85056, -2\/9, -7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17177 and 38804.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y + 34. Let s be w(-12). Which is greater: -7 or s?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511.498587 rounded to 1 dp?\nAnswer: 511.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -12. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-6) + -2 - (-2 + 0). Solve -2*r = -6, 4*f - r + 11 = t*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - 15. Let c = h + -27. Let p = c - 7. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3)*3 - 0. Let q be (-3*4\/(-18))\/(-2). Which is the nearest to m? (a) -0.5 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 161*m - 164*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwwjwkkwwwh. Give prob of sequence wjh.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**3\/3 + 475*h**2 + 930*h - 11320\/3 = 0. What is h?\nAnswer: -283, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9)*i**(2\/19))\/(i**4*i**(3\/10)) assuming i is positive.\nAnswer: i**(-7553\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -51*j**3 - 2*j - 1. Suppose 0 = -s + 3*v - 1, -61*v + 60*v = 0. Determine t(s).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n - 1. Let o be u(0). Let q be ((2 - o)\/9)\/((-5)\/(-855)). Let y = 85 - q. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 1001134342?\nAnswer: 1001134332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 11*i - 7 + 31*i.\nAnswer: 20*i - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.7 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**4\/2 + 2*x. Let z(o) be the third derivative of -o**5\/10 + 39*o**2 + 3*o - 16. Calculate f(z(k)).\nAnswer: -216*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 b when three letters picked without replacement from {c: 6, v: 2, g: 1, k: 2, b: 6}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d5 + 21?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-21)*9\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**5\/60 + 7*m**4\/24 + m**3 - m**2. Suppose 24 = -2*h - 5*a, -3 + 2 = h - 3*a. Is o(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-30 - (-25 - -10)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6)**31 assuming k is positive.\nAnswer: k**186","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102)*-1*-6 - sqrt(102)) + sqrt(102))\/((sqrt(360)\/sqrt(6))\/sqrt(10)) - (-5 + (sqrt(4114) + sqrt(4114)*4)\/sqrt(2)))**2.\nAnswer: -490*sqrt(17) + 40842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 8*q + 23. Let u be v(-10). Factor 0 - 1\/5*l**u + 1\/5*l + 0*l**2.\nAnswer: -l*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 less than or equal to -13706\/621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -21 in decreasing order.\nAnswer: 1, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -3 in decreasing order.\nAnswer: 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 13*r**2 + 11*r + 14. Let f be d(12). Let b be f\/(-8) + 14\/28. Put b, 2\/9, -0.1 in decreasing order.\nAnswer: b, 2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78955 <= -78977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (5 + 0)\/((-6)\/(-18)) and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18459 + -634.36?\nAnswer: -19093.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256270, 512537, 768804?\nAnswer: 1025071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vaavaaagaaaagag. What is prob of sequence ggga?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1755913*z**4 + 631283.\nAnswer: -7023652*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.390211l to millilitres.\nAnswer: 7390.211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/40 and 7\/25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1439 - -1619. Calculate the highest common divisor of 36 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11450 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:45 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*(-3960)\/(-6600)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h + 20*h - 15. Let s(a) = -h*a**2 - 4*a - 10*a**2 + 14*a**2 + 3*a. Give s(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (sqrt(192) - (-2*sqrt(192) + 4)) - sqrt(192) - sqrt(192)) + -1)**2.\nAnswer: -192*sqrt(3) + 3081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 - -2.93. Let q = -46.67 - -47. Let b = -0.03 + q. What is the third biggest value in b, 0.4, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2320?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -561, -839?\nAnswer: -1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000248879479 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o + 4*o + 5*o - 13*o - 6. Determine z(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -138*p - 55063. Give t(-399).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - i)*(-2*i - i + 4*i) + 992 - 6*i**2 - 992 - 2*i**2 + 3*i**2 + i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 4:52 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10 and -298.08?\nAnswer: 308.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6627504 divided by 104\nAnswer: 63726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 228*d**2 + 2054*d + 1. Calculate w(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*a**4 - 85*a**2 + 0*a**4 - a - 10*a**3 - 4*a**4 + 84*a**2 as f*a**3 + z*a + q*a**2 + h + x*a**4 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (11692\/160765)\/(8\/6820)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/6 and -87\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*k + 581*k + 35*k.\nAnswer: 858*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 103971239 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41912143 to the power of 1\/2, to the nearest integer?\nAnswer: 6474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*c + 3112 + 17 = -186 for c.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 - 23 - 32 - s**3 + 42 to the form g*s + b*s**2 + y*s**3 + c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1244 = -4*q, -46 = v - 4*q - 676. What is the least common multiple of 10 and v?\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2341*b - 24021 = -81629 - 197561 for b.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -374.5891162 and 8.489.\nAnswer: -366.1001162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/15250025 and -11\/118?\nAnswer: 30500050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68063 is divided by 1309?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -308*k**2 + 10*k - 318*k**2 + 8 + 637*k**2 + k**3. What is j(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from taaatataataaaaaaaa.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 5 + 8 - 3*r**2 + 6 + 4 - r to the form d*r + u*r**2 + s and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtfwwtrwwbffbfwwwtw. Give prob of sequence btt.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*f = -8, 4*v - f - 15 = -2. Suppose 2*z + 73*t - 77*t = 124, -v*z - t + 221 = 0. What is the remainder when z is divided by 55?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {j: 9, m: 3}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9993515 decades to centuries.\nAnswer: 0.09993515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 103298338?\nAnswer: 826386704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/22)\/(4\/22))\/(2\/(-196)*-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 + 3*h**2 - 3*h**2)*(-7*h + 5 - 5).\nAnswer: -28*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1.6, 37\/3 in increasing order.\nAnswer: -1.6, 0.1, 37\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11)*k)**(-28) assuming k is positive.\nAnswer: k**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*s = -s - 18, 4*s - 2 = 2*u. Let t be (0 + 2)*20\/(-12)*u. Suppose t*b + 39 - 119 = 0. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 + -69.6. Which is the second smallest value? (a) -4 (b) x (c) 0.2 (d) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 - 166. Let m = 85 + b. Is (-2 - 77)\/(m\/(-69)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**6\/120 - 4*g**4\/3 + 23*g**3\/3 - 41*g**2. What is the first derivative of q(a) wrt a?\nAnswer: -3*a**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 8:23 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybb. Give prob of sequence yb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 - -1) - 3 - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 400659820 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13699969769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 45*z - 348. What is the units digit of m(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143733 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -e63 (base 16) in base 12?\nAnswer: -216b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.4 - -9. Let t = -180.1 - -203. Let r = t - 23. What is the second biggest value in q, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r + 36 = 0. Let v = r - 9. Suppose -3*s = -v*u, 3*s + 0*u = -2*u. What is s rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.42 - -0.12. Let m = p + 0.7. What is the second biggest value in 0.7, m, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 12*u - 15. Let v be i(2). Calculate the remainder when 101 is divided by 6\/v - 157\/(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 88\/3*l**2 - 1142\/3*l - 26\/3.\nAnswer: 2*(l - 13)*(44*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*h**5 + 3 - 7*h**5 - 2 + (-3*h + 6 - 6)*(-6*h + 5*h - h)*(-6*h**3 + 1 - 1).\nAnswer: -35*h**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -31, -62, -115, -196, -311?\n\"Answer: -j**3 - 2*j**2 - 2*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 14) to base 8\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxwwwxwxx. What is prob of picking 2 w?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1644 * 0.4\nAnswer: 657.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4962d (base 16) to base 8\nAnswer: -1113055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 - 4*c + 9. Is 10 a factor of z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrnrrnnrnrnrnrrn. What is prob of picking 2 n and 2 r?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 5, c: 3, s: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2 + o**3 + 7\/2*o - 9\/2*o**5 + 15\/2*o**4 - 7*o**2 = 0. Calculate o.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 6 - 5 + 7 + 56*i**2 - 3 to u*i**2 + x + s*i and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193 divided by 313429.\nAnswer: 193\/313429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 76, 1, 2, -1 in ascending order.\nAnswer: -1, 0, 1, 2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-4 + sqrt(432) + ((-2*sqrt(432) + sqrt(432))*-5 - sqrt(432)))*-6*-1)*6)**2.\nAnswer: -699840*sqrt(3) + 14023044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6*v + 4 = -4*v, 5*q - 4*v = -8. Suppose -5*z - 6 + 16 = -a, -3*a - 15 = q. What are the prime factors of z - (-2)\/2 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.7 + -14.7. Let o be 40\/(-5)*(-618)\/(-40). Let m = o - -124. What is the biggest value in 2\/3, t, m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 515203*s**3 - 1 + 1 - 520092*s**3.\nAnswer: -4889*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c**2 - 25 - 26 + 51. Give i(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -4\/21, 11, 0.058 in ascending order.\nAnswer: -4\/21, 0.058, 5\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 5:53 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16616, 16639, 16662, 16685?\nAnswer: 16708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)*(r\/((r*r**(1\/6))\/r))\/r*r*r\/(r*r**(-1\/5))*(r\/(r*r**4\/r))\/r*(r**(-1\/5)*r*r*(r\/r**(-1))\/r)\/(r**(-1\/8)*(r**(-1\/7)\/r)\/r) assuming r is positive.\nAnswer: r**(-487\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -401 + 434. Suppose 0 = -v*s - 2*s + 89075. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53214785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(10 - 9) + -11*4\/(-11). Let t(d) = d**2 - 4*d - 2. Let a be t(5). Solve 18 = n*m - 5*j, 0 = 3*j + 12 - a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/336*-7*-2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 2 (c) 1\/6 (d) 1\/33 (e) -245 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295, 998, 2341, 4468, 7523, 11650, 16993, 23696?\nAnswer: 31903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 + -45. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1868.81877us?\nAnswer: 0.000000003089978125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttq when three letters picked without replacement from tqttqtqtqqqttqqtttq.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -374.86 to the nearest 10.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-16))\/((-5)\/16). What is the second biggest value in -1\/7, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(4\/5)*(d**(-5)*d)\/(d**(2\/9)\/d) assuming d is positive.\nAnswer: d**(-29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 1. Let r be 4\/(-10) - 32\/(-5). Let o be v(r). Solve -a = -0*a + o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/266 + 2766\/76. Let o(d) = -38*d. Let m be o(1). Let l = b + m. Sort 0.5, -3\/5, l in ascending order.\nAnswer: l, -3\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 10. Let s = k - 2. Suppose s + 5 = y + 5*d, -52 = -4*y + 2*d. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5*2*sqrt(88) - sqrt(88)))\/(sqrt(72)\/(sqrt(9) - (sqrt(81) - 2*sqrt(81) - sqrt(9)) - sqrt(9))).\nAnswer: 220*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) -132845 (c) 0 (d) -36 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 + 2*y - 1. Let h be o(-2). Suppose -2*z - 6 = d + 4, -3*z - h = 4*d. Solve -5*x = -d*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by -11065?\nAnswer: 37\/11065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 118 = 2*b - 8*d, 11*b - 1395 = 6*b + 35*d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1704657, -3409324, -5113991, -6818658?\nAnswer: -8523325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4542543925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15393812, 2 in decreasing order.\nAnswer: 15393812, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**4\/3 - 328*r**3\/3 - 2304*r**2 - 18792*r - 53460 = 0. What is r?\nAnswer: -55, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -53. Let r be 6\/3*6\/4. Suppose -r*h = -h - x. Solve h*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 14, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6047*w - 356787. Calculate u(59).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -7*b + 3. Let r(k) = k**3 - 5*k**2 + k - 3. Let w be r(5). What is the lowest common multiple of 15\/w + b\/(-6) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2010 and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11)\/2)\/(1\/(-24)). Suppose j + x = 2*j. Is 33 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-4487469)\/(-9604)*4\/(-18)*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 - 9*y**3 + 14*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.1, -5, 5\/2, 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312 and 96\/40*(-1350)\/(-20).\nAnswer: 8424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -3*a - 2, 3*w + 230 = 4*a + 231 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.00000014 - -1. What is m rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -98*z**2 + 180943*z - 184712492.\nAnswer: -196*z + 180943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -3 - (5\/20 - 4). Let s be 0\/(2 - 0 - 0). Suppose s*n = n. Which is bigger: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 829 and 3.\nAnswer: 2487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4 + 8*c - 3*c**2 + 4*c**2 + 0. What is r(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37651 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/6 and -89\/4267558.\nAnswer: 12802674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 3*u + 14 = 4*t, 11 = 4*t - u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.291339881 to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-120))\/(3\/20).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.129 - 66.129. Let f = 69.6 + -2.38. Let w = f + c. What is w rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g - 1. Let k(c) be the first derivative of -7*c**2\/2 - 2*c + 1. Let f = -318753 - -318748. Give f*p(v) + 6*k(v).\nAnswer: -2*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, g: 1, v: 4, f: 8}. What is prob of picking 1 f and 3 h?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p + 9*p**3 + 2*p**3 - 8*p**3 wrt p?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1246*g - 324*g - 2223*g - 2599*g - 315*g - 1 in the form u + h*g and give h.\nAnswer: -4215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18401 in -648, 0.04, 2\/23?\nAnswer: -648","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 15. Let d = s - 14. Which is the closest to d? (a) 3\/2 (b) -0.3 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 7*v**4\/12 - 7*v - 5. Let t(d) = -38*d. Give c(t(g)).\nAnswer: 10108*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 2*d - 0*d. Suppose 84 = 7*v - d*v. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*d**2 - 139*d**2 - 40 + 6*d**3 + 125*d + 4*d**3 = 0 for d.\nAnswer: 1\/2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:30 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/100 - (-37)\/5. Solve 0 = -5*v + o*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**4 - 24 + 26 - h + 34*h**4 + 0 + 3*h**4 + 0 + (-h**2 + 0*h**2 + 3*h**2)*(-4*h**2 + 0*h**2 + 6*h**2) + 4*h**4 - 14*h + 14*h.\nAnswer: 49*h**4 - h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*m**3 - 1330 - 5*m + 1328 + 5*m.\nAnswer: 23*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**4 - 296*i**3 - 288*i**2 + 296*i + 292 = 0.\nAnswer: -73, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z + 2. Calculate k(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/17 + 1926*f\/17 - 3860\/17.\nAnswer: 2*(f - 2)*(f + 965)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -0.2, -27, 1.1, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -8*x - 1 - 9 + 58. Let i(q) = q + 1. Let n(v) = g(v) + 2*i(v). Let k be n(7). What is the highest common divisor of k and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9.4, -5, 0, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 16, 85, 224, 457?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -177285755\nAnswer: 2\/177285755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - 18*x - 13. Let u be f(-8). Suppose -5*h - 411 = -u*o, -31 = 2*o - 2*h - 301. What is the highest common factor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**(-2\/7)*p)\/p*p)**(-8\/11)*(p*p**(4\/5))\/p**3 assuming p is positive.\nAnswer: p**(-942\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 9. What is f(-8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5437605ml in litres?\nAnswer: 0.0005437605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3)\/f)\/f**(4\/5))**43\/((f**0)**(-1\/5))**(-2\/87) assuming f is positive.\nAnswer: f**(-1591\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 577490 and 5050?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/37, 0.5, -1, 12.\nAnswer: -1, -2\/37, 0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*a**2 - 4*a**3 - 108*a**2 - 50 + 53*a**2.\nAnswer: -4*a**3 - 2*a**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.644206437 rounded to three dps?\nAnswer: 2.644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 173081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 16, -64*b + 2*c - 23 = -69*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 1:19 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 1 + 10*d**2 + 53\/10*d**5 + 0*d**4 + 0*d**3 - 34*d. What is the derivative of m(h) wrt h?\nAnswer: 318*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187507*f**3 - 2*f**2 + 55*f + 825 wrt f.\nAnswer: -1125042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -680*i**3 + 7*i + 11. Is y(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 5*r**3\/6 + 34*r**2 - r + 14. Let s be y(-14). Which is the third biggest value? (a) 5 (b) -3.2 (c) -4 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/9)\/(1\/(-2)))\/(8\/60).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010110010111110010 (base 2) in base 9?\nAnswer: 1137787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*m + 352*m**2 - 720*m**2 + 370*m**2 - 16*m**3 + 1 as f*m + b*m**3 + a + s*m**2 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d - 1. Let i be b(-1). Let 2\/3*w**i + 2\/3 + 5\/3*w = 0. Calculate w.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11034410 rounded to the nearest one hundred thousand?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 19*r + 1. What is the remainder when n(2) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*b + 315 - 315)*(1 + 0 - 4)*(-14 + 14 - 5*b) - b + b**2 + b.\nAnswer: 436*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -941 - -946. Suppose -l*w + 248 = 43. Let o = 12 + -8. Solve -5*d = q + 2*q - 35, 0 = 5*q + o*d - w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -105134 smaller than -105130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2*9\/(-252)*4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24391, 50768, 77147, 103528, 129911?\nAnswer: 156296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4231 + 9518. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0040152 rounded to 5 dps?\nAnswer: -0.00402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5 + 504\/10. Let l = -33 + w. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (111\/2331)\/(1\/(-12)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 1757?\nAnswer: 7028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)\/g)**(-17\/6) assuming g is positive.\nAnswer: g**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 25*y = -4986. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*f - 102*f**2 + 127*f + 29*f**2 - 245*f in the form d + p*f**2 + i*f and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 713455.4l?\nAnswer: 713455400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkxkoooxkxxx. Give prob of sequence xo.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -17597*k + 2369. List the prime factors of w(-2).\nAnswer: 3, 19, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27.3, -0.05, -1, -2 in ascending order.\nAnswer: -2, -1, -0.05, 27.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 899*p = -4357*p + 208910 - 592598 for p.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 10*x**2 + 33. Let j(g) = 21*g**2 + g + 65. Let a(b) = 6*j(b) - 11*n(b). Let d be a(14). Let o = d - 19595\/6. Find the common denominator of 23 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1212*a**2 - 2 + 559*a**2 + 535*a**2 + (2*a + a - a)*(-a + 0*a + 3*a) as b*a + h*a**2 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -156792432 - -156792421.9999937. Let j = -10 - p. What is j rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 11:46 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - g - 70 + 31, 3*b - 13*g + 4*g - 64 = -5*g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/17 and -2 + 4\/3 + (-1119)\/(-234)?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439355601 divided by 57?\nAnswer: 7707993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69917 is divided by 258?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(72)*-4.\nAnswer: -24*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -958*o**3 - 1165*o**3 - 4*o**2 - 3*o**2 + 2104*o**3 + 7*o**2.\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -2)\/(9 - 18)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from wxuukxxiwkxwiuxiuik.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 5. Let r(g) = g - 15. Let s be r(-9). Let w = -28 - s. What is v(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 + 2. Let w(i) = 11*i**2 - 6. Let y(z) = 8*m(z) + 3*w(z). Suppose 0 = 2*b + 2 + 8. What are the prime factors of y(b)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/10494 and -70\/78111.\nAnswer: 8279766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 6 = 5*h + 4*j, -5*h - 4*j = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01205 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1659576.\nAnswer: 2, 3, 69149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(275)\/(sqrt(5)*4))\/(sqrt(5) - (sqrt(10) - 4*sqrt(10))\/sqrt(2)).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 9*c**2 + 5. Let v be f(-9). Suppose 5*u = -4*y + 17, v*y - 18 = 2*u - 5*u. Let b = -624 - -628. Solve 3*t = b*t + u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 322?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42744907 is divided by 26749?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 102, 309, 520, 735, 954, 1177, 1404?\n\"Answer: 2*t**2 + 201*t - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -4.6 (c) -8 (d) 3\/4973 (e) 0.3 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6043.3263ms to days.\nAnswer: 0.00006994590625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -14*o + 11*o. Suppose 4*m - 140 = 28. Let k = o + m. What is the greatest common factor of 72 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(343) + sqrt(343) + sqrt(343) + -2 + sqrt(343))*1)**2 - ((-2 + sqrt(343))**2 + sqrt(343) + -4)*5)*-2.\nAnswer: -95426 + 1806*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -8609, -5, 9, -1, 2.\nAnswer: -8609, -5, -1, 2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -699438, -699446, -699454, -699462?\n\"Answer: -8*d - 699430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 20. Let p = -3 + i. Which is the nearest to p? (a) 2\/3 (b) -2\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 1\/6 (c) 15\/238\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d*n**3 - 5661*d*n**2 - 21*n**3 + 2075*n wrt d.\nAnswer: 3*n**3 - 5661*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 14\/5*q**2 + 1\/5*q**3 + 12\/5 = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1.4, -0.4, 5.\nAnswer: -3, -1.4, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*21\/15*(-10)\/35?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 355*c - 115*c + 5825 + 9055 for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22364929, 22364933, 22364937, 22364941, 22364945, 22364949?\n\"Answer: 4*n + 22364925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypfeiif. Give prob of sequence pyfi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.019 - 0.019. Let d = s - 36. Let j = 16.00045 + d. Round j to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1887699681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = u + 4*d + 1, -5*d - 3 = 3*u. Let s(w) = -7*w + 7. Let l(y) = y - 1. Let v(t) = u*s(t) - 6*l(t). Determine v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 1 + -2 + -10. Let z(f) = 7*f**2 - 2*f - 5. Let q(u) = 3*u**2 - u - 2. What is p*q(w) + 4*z(w)?\nAnswer: -2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 374 and 77?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5656, 1754, -4746, -13844, -25540?\nAnswer: -39834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -1, -22, -59, -118, -205, -326, -487?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*1)\/(4 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -14.33. What is f rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(3*t - 4*t - t)*(-223 + 417 + 430)*(0*t**2 - t**2 + 2*t**2) as u + c*t + j*t**3 + x*t**2 and give j.\nAnswer: 2496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.035 in 1\/4, 3, 5.7, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4701977851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 1120 - 586 - 601 = -2*b, -b + 107 = -5*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528300?\nAnswer: 2, 3, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 6*j = 2321. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 3. Let g = 41 + -47. Let j = g + 16. Calculate the smallest common multiple of j and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - x + 1. Suppose h = -6 - 0. Let y(g) = -g**3 - 6*g**2 - 6*g + 3. Let i(w) = h*u(w) + y(w). What is the derivative of i(t) wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1633.59948 + 1630.6. Let u = -3 - l. Round u to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 296.\nAnswer: 1\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 170676616 a multiple of 1562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w*z**2 - 7448735*w*z + 1433886*z**2 wrt z.\nAnswer: 4*w + 2867772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137704381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**2 + 19*o**2 - 7 - 11*o**2 as r*o + j + a*o**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -5*y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2\/3, -2.3, 0.3, 181\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/3)\/4*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 462600 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3974 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: Let n = -0.19 - -0.29. Let q = 0.53 - 0.52. What is the closest to n in 3\/7, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2 + 3\/9*123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 233 - 2216479870\nAnswer: -2216479637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5565*j. Let p(z) = -411*z**2 - 9. Determine d(p(u)).\nAnswer: -2287215*u**2 - 50085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**2 + 679*k - 802 with respect to k.\nAnswer: -6*k + 679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19.1 and -3?\nAnswer: 57.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*z + 6902 - 427. Calculate the highest common divisor of 25 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 o, and 1 d when three letters picked without replacement from {b: 1, g: 12, v: 3, a: 1, d: 2, o: 1}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -68*w**4 - 18*w**2 + 9*w - 3. Let j(u) = -u**4 - u**2 - 3*u + 1. Let f(r) = 3*j(r) + o(r). Find the third derivative of f(d) wrt d.\nAnswer: -1704*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as -347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333 and 6438.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00168206 rounded to 5 decimal places?\nAnswer: -0.00168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -632, -1447, -2586?\nAnswer: -4049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0)*(1 + -2). What is the second derivative of -6*v**3 + z*v - 4*v + 3*v**3 - v**3 wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 51*p + 552. Solve 4*w = -16 + p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 12*g - 18. Let x be r(-9). Let l = -29 + x. What is the units digit of 7\/(105\/(-6)) - 408\/l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -50) + 9 - (1 + -3 + 6 + -8)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 368466 divided by 186?\nAnswer: 1981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.651915 to 1 decimal place.\nAnswer: -50.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s + 11*s - 2016 = -39*s for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 17 = -5*n - 13, 0 = 3*j - n - 19. Suppose 4*r = 3*r + j. Solve -4*w + 2 = 2*g - r*g, 0 = g - 2*w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + f - 4. Let r(h) = 2*h**2 + 2*h - 4. Let n = -10 + 5. Let w(j) = n*r(j) + 4*q(j). Let w(p) = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6556 divided by -163\nAnswer: -6556\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.42 - -4.42. Put -5, v, -62, 3 in increasing order.\nAnswer: -62, -5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/6 and 103\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/11 (b) 2 (c) -7\/2628\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 9:36 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1 - a**2 + 817932*a + 1 - 817685*a. Let o(u) = -4*u + 3. Let j(n) = -3*n + 2. Let s(h) = -3*j(h) + 2*o(h). What is s(q(i))?\nAnswer: -i**2 + 247*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/2 - 73*q**2\/2 - 652*q - 616 = 0.\nAnswer: -44, -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 + 52. Let q = 19 + y. Let k = -312 - -2497\/8. Which is the fourth biggest value? (a) 3 (b) k (c) q (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10919 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 112846133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 190426 + -190426.03. Let v = 0.1 - -0.3. Sort -1\/2, v, n, 1\/6 in increasing order.\nAnswer: -1\/2, n, 1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1683 (base 11) in base 8?\nAnswer: -4144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 76\/5 of a tonne?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s - 372. Let i = s - 62. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b + 2*l = 4, -b - 10 = -5*l. Suppose -4*h = 2*f + 8, b*h - 16 = -5*f + 2*h. Suppose f*v = -3*v + 1110. List the prime factors of v.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11998271 divided by 1109.\nAnswer: 10819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 = 2*w + 10, -1 = w - 5*l. Let k be 3 + -2 - (-13 - w). Suppose -n = 0, -4*a - 17164 = -k*a - 3*n. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -53260?\nAnswer: -53263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-256)\/(-364) + ((-36)\/(-42))\/(-1). Which is the nearest to -2\/7? (a) k (b) 5 (c) 2\/3 (d) 230\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*v = -51*v - 3. Solve v*s - 5*p - 29 - 8 = 0, -24 = -s + 4*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6\/733 - -17634\/5131. Let t be (-16)\/60*(-5)\/414. Let x = 3310\/621 + t. Calculate the common denominator of x and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 12*s - 4. Let l be z(2). Suppose 20*u - 47 = 13. Suppose -252 = -2*r - u*p + 4*p, 5*p = l. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3226901394?\nAnswer: 2, 3, 1597, 336767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 + 9*i**2 - 19*i + 2*i**2 - 13*i**2 - 2 + 5*i in the form c + d*i + p*i**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3069 = y + 920. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -17*o - 23. Let f(c) = 65*c + 95. Let r(w) = 2*f(w) + 9*q(w). Determine r(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 607 + 607.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 less than 0.09?\nAnswer: -183.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrr. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + -131a547?\nAnswer: -131a557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3\/7*b**3 - 285\/7*b - 12\/7*b**2 + 594\/7 = 0?\nAnswer: -9, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-80)\/60*1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -751 or -742?\nAnswer: -751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 443*-0.35\nAnswer: -155.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 885 a factor of 11199675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409216?\nAnswer: 2, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -7*n**3\/3 - 3*n + 8725. Let f(j) = -10*j. Calculate f(g(p)).\nAnswer: 70*p**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/99)\/((-67)\/42009).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 251*x**4\/24 - 13*x**2 - 19. Let s(u) = 7*u**2. Determine f(s(o)).\nAnswer: 1757*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/9*s**2 + 16\/3*s - 46\/9 = 0 for s.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(-2)\/(-12)*(-4)\/8.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**4\/12 - j**3\/3 + 2*j. Let t(y) = 4*y**2 - 7*y. Suppose -230*i + 263*i = -421 - 41. Give i*l(v) + 4*t(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 2 - 9)*(2 + 2 - 6)*(-69*p**2 + 27*p**2 + 33*p**2 + p**3) in the form v*p**3 + b + u*p + z*p**2 and give z.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3, -5, 92?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-102))\/((195\/(-936))\/((-145)\/116)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8128504 is divided by 301.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 754, 5978, 20126, 47650, 93002, 160634?\n\"Answer: 742*z**3 + 10*z**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272*b + 266*b = -18. Calculate the lowest common multiple of 485 and b.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -313 - -121?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -3.05.\nAnswer: -1.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, w: 7, l: 3, m: 3}. Give prob of picking 2 m and 1 k.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-20) - ((-865)\/50 + 17).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -47. Solve s*c - 2 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 2, i: 3, f: 4, z: 1}. Give prob of picking 2 f and 1 i.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 4*a + 3*x, 4*a - 3*x + 4*x - 104 = 0. Calculate the greatest common divisor of a and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 9*q - 657 + 512 = 0, 45 = 3*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*o**3 - 70 - 104 + o - 8*o**3 + 28*o**3 wrt o.\nAnswer: 75*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61799 - 24*y - 61799.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 15 (b) -4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4 - 1*49\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -405133 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3312\/1488*-31 - (0 - -30).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 4:34 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**5\/4 + 17*x**4\/12 - 3*x. Find the third derivative of y(u) wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-12))\/(-1) + (-3)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvrvvvajvpprrvar. What is prob of sequence pa?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -343, -21, 1, -1, 4.\nAnswer: -343, -21, -1, 1, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 32 - 230 = 5*t, -1141*k = -1140*k - 20*t - 799 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-22)*20 + (-12 - -16 - 8).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3286, 3324, 3436, 3658, 4026, 4576, 5344, 6366?\n\"Answer: 6*c**3 + c**2 - 7*c + 3286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i + 0*i - 3*i + (2 - 1 + 0)*(-2*i + 2*i - 2*i))*(9*i**2 + 11*i**2 - 3*i**2) to the form y*i**2 + m + x*i + u*i**3 and give u.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1174046 - 1750?\nAnswer: -1176016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1847541, 1847542, 1847543, 1847544, 1847545, 1847546?\n\"Answer: y + 1847540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(3\/2)*((m*m*m**(4\/5)\/m)\/m)\/m)**(4\/15)\/(m**3\/(m\/((m\/(m*m\/(m\/m**(2\/5))))\/m)))**(34\/5) assuming m is positive.\nAnswer: m**(-64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.5447*-0.2.\nAnswer: -3.50894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3827068033?\nAnswer: 17, 251, 659, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 149326837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1597*s**2 + 1595*s**2 - 3199*s**2. Let y(d) = -d**2 + 1. Let i(h) = -4*h**2 + 1. Let p(n) = -i(n) + y(n). Determine b(p(a)).\nAnswer: -63*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqqqqqqoqqqqq.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 3 = -68 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53630*g**2 + 160872*g**2 - 53626*g**2 - 53626*g**2.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 - 6*y - 14. Let v(k) = 15*k**2 - 30*k - 69. Let n(b) = -24*u(b) + 5*v(b). Factor n(f).\nAnswer: 3*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -21. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68070228 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 9. Let p be l(-6). Suppose 0*b + 30 = 4*q + 2*b, -4*b - 17 = -p*q. Suppose 0 = m - q + 3. Solve -4*t = -0*t - m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/80 of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 - 289*o**2 + 8975*o\/2 + 4777.\nAnswer: (o - 562)*(o - 17)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/8 - (-9)\/6) + 45.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 9.00002. Round y to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + sqrt(425)*-3 + -3)**2.\nAnswer: -60*sqrt(17) + 3829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*v - 46*v = 4*l - 80, -l - 5*v + 20 = 0. Let z(p) = 4*p - 70. Determine z(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 35*c - 191 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1150 + -1594. Is 2 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 472794.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 2*m**3\/3 - 13*m**2\/2 + m. Let z = 20 - 25. Suppose 0*x = -3*x + 21. Let k(v) = 3*v - 9. Give x*k(b) + z*t(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(1584))**2.\nAnswer: 96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -160612 - 0.036\nAnswer: -160612.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 374870?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*v - 9, -3*h + 9 = 5*v - 3. What is the closest to h in -4, -3\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 26\/(-4)*-4. Solve 0 = 4*n - 5*f - z, -3*n = -f + 2*f - 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-539)\/3 + 2\/(-6). Let m be -8*-2*3\/z. Suppose -5*f - 15 = 5*a, a - 4 + 1 = 5*f. Which is bigger: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -68583 (b) -5 (c) 0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((5 - -1) + (-30 - -5))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -2*j**3 + 3*j**2 - 11*j. Differentiate t(x) wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*p - 190 = 43, -6 = 3*p. What are the prime factors of (y\/(-20) - -4) + 1243\/4?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3))**44 assuming q is positive.\nAnswer: q**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85802 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0 - 5 = 0. Let f be 3\/3*18\/30. Factor 0 + 0*j + 1\/5*j**2 - 3\/5*j**3 + f*j**4 - 1\/5*j**y.\nAnswer: -j**2*(j - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.03 and 30243510?\nAnswer: 30243508.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 213499242509 less than -0.016?\nAnswer: -213499242509.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 3, -5 in increasing order.\nAnswer: -5, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -0.047281268.\nAnswer: 2.952718732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r = -j - 105, 4*r + 64 = -4*j + 92 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-10)\/1 + 1. Let y = q + 17. Let j(d) = -d**3 + 4*d**2 - d + 15. Calculate the remainder when j(4) is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/11, 2, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*m - 3*n + 2461 = 0, 616 = m + n. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**2\/6 + 176929930*d\/3 + 117953285\/2 = 0. Calculate d.\nAnswer: -70771971, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**6 + 0*i**6 - 2*i**2 - 3*i**2 - 2*i**6 wrt i?\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -5*r**4\/24 - 3833*r**2. Let k be 1\/(-4) + 27\/12. Let b(x) = -5*x**2 + 3*x**k - 4*x**2. Determine b(m(i)).\nAnswer: -150*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 = -3*u - 12, -2*i - 8 = -3*u. Let c(m) = -m + 21. Determine c(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 220 + -213. What is the second derivative of z*n + n**2 - 93*n**2 - 24*n - 76*n wrt n?\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -48.628. Let i = -1.6 + 2. Let g = c - i. What is g rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 - 1)*(-3)\/(-9). Suppose 2*z - 2*q - 22 = 0, -z + 2*q = r*z - 46. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -242951\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 217 = 58. List the prime factors of i.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/27 (b) 2.24 (c) -0.917\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/2 - 45*a**3\/8 + 177*a**2\/8 - 37*a + 45\/2.\nAnswer: (a - 5)*(a - 2)**2*(4*a - 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 6*v - 9. Let n be z(-5). Is ((-16)\/24)\/(((-4)\/(-99))\/n) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 34*q - 5*u - 1 = 0, 5*u = -10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 486.4 - 486. Which is the second biggest value? (a) -0.07 (b) 12 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = q - 3. Let j = 20 + -14. What is the smallest common multiple of j and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.9 + 1.1. Let t = -77 + 77.4. Which is the nearest to 0? (a) t (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1539) - (sqrt(1539) - (sqrt(1539) + -2 + -1)**2)) + 2).\nAnswer: -270*sqrt(19) + 7750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/21))**(2\/61))**(-6\/7))**(11\/2) assuming b is positive.\nAnswer: b**(44\/2989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2 + 7*l**2 - 2*l**2. Let n(v) be the second derivative of 11*v**3\/6 - 11*v. Calculate b(n(s)).\nAnswer: 242*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**12\/c*c)\/c)\/(c\/(c*c**(-34))) assuming c is positive.\nAnswer: c**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, e: 3, d: 4, b: 2}. What is prob of picking 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -37*p**3 - 2*p**2 + 2*p + 2. Let z(y) = -37*y**3 - 3*y**2 + 3*y + 3. Calculate 3*j(a) - 2*z(a).\nAnswer: -37*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 12:56 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.9.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -2*p**7\/35 + 8*p**6\/15 - 2*p**5\/15 - 8*p**4\/3 + 10*p**3\/3 - 6*p**2 + 6. Solve f(i) = 0.\nAnswer: -1, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -3*m**4\/16 + 2265*m**3\/4 - 481383*m**2 + 961068*m + 2445. Determine q so that t(q) = 0.\nAnswer: 1, 1132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -40\/25486277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33044017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2354?\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-3)*6\/3*(-81)\/810.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13844?\nAnswer: 2, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(36\/(-32)) - 1. Suppose -r*i + 25 + 10 = 0. Solve 0 = i*f + 2*d - 5, -4*d = 4*f - 0 - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -3210301?\nAnswer: -3210310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 376*b**2 + 2*b - 10. Let k be x(-7). Round k to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*r - 2*x, 3*r + 3*x - 9 = -2*r. Suppose r*f + 2*i + 2 - 1 = 0, 3*i + 6 = 0. Let o(g) = 7*g**3 + 1. What is o(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-5 - -4) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -167616384336040000*n**2 + 1637639200*n - 4.\nAnswer: -4*(204704900*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 4, -2, -3318918?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -6*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196598*r**5 + 187904*r + 1 wrt r?\nAnswer: -3931960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 10:04 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1584) + 2*sqrt(11) + -3 - 1*-6*sqrt(99)\/sqrt(9))**2.\nAnswer: -120*sqrt(11) + 4409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4*q + 9 - 33, 4*s - 880*q - 880*q + 1761*q + 27 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/5, 2, -12, 9 in increasing order.\nAnswer: -12, -16\/5, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 684 and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1123531 is divided by 4146?\nAnswer: 4111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 g when four letters picked without replacement from {q: 1, g: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from eemmfmbetmm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0*d - 15. Suppose 3*h - d = 58. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87\/14 + 13\/2. Do -3\/202 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1514 - -1602. Suppose y - 372 = 4*z. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 - 1669*c\/4 - 1667\/2.\nAnswer: -(c + 2)*(c + 1667)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*a + 10980 + 4662 = 0 for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254159 = 5*c + 2*y, -3*y + 152473 = 3*c + y. List the prime factors of c.\nAnswer: 3, 5, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(16*g - 5 + 8*g + 2).\nAnswer: 24*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7550795 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*g + 1, -2*l + 6 = 4*g - 5*l. Let w = 0 - g. Is 11 a factor of 8\/(-1 - 5\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 53*y - 690 = 0, 95*y + 28 = 2*b + 93*y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*m + 87 = 2*m, 4*m - 35 = -w. Suppose 15 = 4*v + q - 52, -v - q = -w. Suppose 3*i - 5*i = -v. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/324 and -119\/1944?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4*5\/(-15))\/((-10)\/(-135)). Let l(o) = -o**3 - 18*o**2 - 3*o - 46. Let d be l(r). Solve 2*k + d - 8 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129320 and 15635.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 7:01 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5508996?\nAnswer: 2, 3, 167, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 210, 2\/9, 1, -0.289 in increasing order.\nAnswer: -0.289, 2\/9, 1, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 4*n + 7. Let p be c(6). Let t be 198\/(-110) + (-411)\/5. Let g be (p\/(-2))\/(7*(-6)\/t). Put -2, 3, -1, g in decreasing order.\nAnswer: g, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + x**2 - 4. Suppose -i - 2 = -3*y, -i - 3 = -y - 1. Let u be c(y). Put -3, u, -1 in descending order.\nAnswer: -1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**5\/60 - 17*y**4\/24 - 14*y**3\/3 - 30*y**2. Let s be w(-12). What is the greatest common factor of s and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-8 + (-1380)\/(-161)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9692.41 and 342.7?\nAnswer: 9349.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*d - 63*d + 957. Solve -4*v + 4 = -y + d, -3*v - 29 = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 10:22 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(10\/6 - 2). Let v be (-2)\/(-8)*(o + -3). Let c = -0.8 - -0.3. Sort -0.3, v, c in ascending order.\nAnswer: v, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*z - 8422 + 13 = 8406 for z.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -144.3 in 9, -0.15, 1\/3, 1\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1 - 2 - -2). Suppose -17 = -4*u - g. Put -1, u, 3 in decreasing order.\nAnswer: u, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -516*1\/(-1)*105779. Suppose -5*o - 4*h - 136454897 = 0, -2*h = -2*o - h - s. Let c = o - -19390981. Round c to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 13*n + 67. List the prime factors of o(11).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142683297*1\nAnswer: 142683297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 735 = 12*z + 675. Suppose 19*f - 4*t = 14*f + 17, -2*f - 13 = z*t. Suppose -f - 1\/5*u**2 + 6\/5*u = 0. Calculate u.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 3*p - 3. Let m be n(2). Let y(t) = t**3 - 7*t**2 - t + 7. Let r be y(m). Solve r = -2*v + 5 + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.12 - 18.12. Put r, 12, -2, -22 in decreasing order.\nAnswer: 12, r, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 995, -1, -56, 297 in ascending order.\nAnswer: -56, -1, 297, 995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1826 and 122678897.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u - 126. Let y be i(14). Let p(o) = 19*o**2 - 5*o + 3. Let v be p(4). Suppose 4*q = -c - 0*c + v, 3*q + 2*c - 219 = y. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 27 = 8*l. Let d be (l - 4)\/(3\/(-1)). Which is the nearest to d? (a) 2\/13 (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(539) + 5.\nAnswer: 5 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*s, 3*z + s + 20 = 8*z. Suppose -a - 2*p + 106 - 20 = 0, 0 = -a + z*p + 100. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from {p: 2, y: 1, e: 1, i: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2582 + 5274. List the prime factors of r.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -761 + -79?\nAnswer: -82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4 - -1 - -7) + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmhfmhmmhh. Give prob of picking 1 h and 1 f.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 27*x - 65. Let z be n(-15). Put z, 2, -5 in ascending order.\nAnswer: z, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179040586 to the nearest integer?\nAnswer: 13381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -10) + ((91 - 67) + -4 + -41 - -24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 312 + -299. Let y be (-2)\/p - 18\/(-117). Let v = 1 - 2. What is the third biggest value in 15, 5, y, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**5\/20 + 19*a**4 - 151*a**3\/2 + 113*a**2 + 5*a - 73. Suppose r(s) = 0. Calculate s.\nAnswer: 1, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11\/4)\/f)**(-10) assuming f is positive.\nAnswer: f**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2 = 3*q - 0, 0 = -4*q + x - 11. Let t(v) = -v**2 - 2*v - 1. What is t(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-20))\/((-4)\/((-8)\/3))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -614, -1229, -1844, -2459, -3074?\n\"Answer: -615*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (48\/(-40))\/((-1)\/15). Let x(u) = 2*u - 24. Let n be x(a). Let t(b) = 3*b - 3. Is 15 a factor of t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + m**2 - 2*m**2 - 1 + 1 + m**2 + (0*m - 3*m + m)*(-1 - 2*m + 1))*(-2*m + m - 6*m + 3*m - 5*m + 3*m + (-3*m - m + 3*m)*(4 - 3 - 2)).\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -367, 6, 0, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 0*d**2 - 7 + 1\/6*d**4 - 1\/6*d**3 + 4*d. Let w(c) be the first derivative of m(c). Calculate w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -860 by 215105.\nAnswer: -172\/43021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 12 - (-57 - -96)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 15. Let d be t(10). Suppose d*o - 59 = -3*c, 2*o - 8 = -c + 11. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -3*k + 9. Which is the nearest to k? (a) -27 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/9042528 and 48\/7.\nAnswer: 63297696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*50\/1175\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6755.3 and 3.\nAnswer: 20265.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154050 and 316?\nAnswer: 308100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c**3 + 6*c**2 - 6*c - 5. Let a(q) = 34*q**3 + 28*q**2 - 28*q - 26. Calculate 6*a(d) - 28*m(d).\nAnswer: 8*d**3 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 43. Suppose -2*p - f*b + 30 = -39, -4*p - 3*b + 145 = 0. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 331926683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(512)*1 + 3))**2.\nAnswer: 96*sqrt(2) + 521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 20*x + 176 = 0. Let q be 6\/(1056\/(-76)) + (-2)\/x. What is the fourth biggest value in -0.4, 0.2, q, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 3) to base 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3821 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*t + 48*t - 413*t**2 + 421*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1*-163.38.\nAnswer: 343.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000215718 rounded to seven dps?\nAnswer: -0.0000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2479, 10925, 24315, 37685, 51029?\nAnswer: 64341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = b - 0*b, -9*s - 4*b + 116 = 4*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 283278 and 157542.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 8599 and -61005.64905.\nAnswer: -52406.64905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-2*(-2)\/28). Let m be (d\/21)\/((-4)\/(-150)). Let i = -120 + m. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 - 3*t + 300 - 18*t**2 - 569 - 11*t**2 + 269.\nAnswer: -35*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.936265kg to milligrams.\nAnswer: 8936265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.64 + 0.54. Let l = v - -2. Let h be (-4)\/(-18)*(-7)\/(-14). What is the nearest to 0 in 2\/5, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/2908 and 71\/2908?\nAnswer: 2908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -2\/5 (c) -34 (d) -0.25 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.7 - -59. Let q = 82 - f. Let j = -3.95 + q. Round j to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -134 - -156*68\/816?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4))**24*(j**(1\/28)*j)\/j*(j**(4\/7)\/j)\/j assuming j is positive.\nAnswer: j**(-207\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - 20. Let o = h + 29.9999864. Round o to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/(-30)*113\/(-8) and 101\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - 10 - (2 + 9) - (-4 - 3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24b7a08 (base 12) in base 13?\nAnswer: -1655357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 624.05 times -5\nAnswer: -3120.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3123*z**2 - 5948*z**2 + 2*z - 347*z**2.\nAnswer: -3172*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2498591, 1, -1 in decreasing order.\nAnswer: 6, 1, -1, -2498591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrkkdkrrkqnqqkkqrkqn. Give prob of sequence rr.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*j - 14, -4*a - 112 = 5*j - 135. Solve -a*i + 6 - 1 = -5*p, 2*p - 5*i = -2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 195, 186, 161, 114, 39?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -18 - 0. Suppose -2*z = -j - 21, -1 + 19 = z - 3*j. What is the remainder when z is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -21.8 (b) 5\/1124 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 341037802 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1123 - -2035. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 17, 17, 15, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*a - 36, -13606*d + 13605*d - 3*a + 24 = 0. Let n(g) = 49*g + 1. What is the remainder when n(1) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x - 6. Let d(j) = 3*j - 2. Give -11*d(c) + 4*h(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-16)\/(-128)*14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -2\/9, 156538, 9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-117*q**2 - 3 - 3*q + 2 + 106*q**2)*(-8*q**2 - 5*q**2 - 3*q**2) to the form i*q + f + o*q**4 + b*q**2 + s*q**3 and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 348 = 357 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81513 is divided by 181.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25224 is divided by 12605.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 175\/(-80))\/(1\/(-4)). Let m = 15.4 + -10.71. Let p = 0.31 + m. Which is the smallest value? (a) p (b) f (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*v - 36, 2*v - w = 13 + 5. What is the lowest common multiple of 1 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 0.5 (c) 1174 (d) 0.47 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 9. Calculate the smallest common multiple of 1\/(-5) + 6 + (-55)\/(-25) and w(-9).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 6*y = -m - 3, m = -2*y - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/17)\/((-22)\/(-4) + -6).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*n - 117, -2 = 6*n - 4*n. Calculate the remainder when c is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27351596, -54703192, -82054788, -109406384, -136757980?\nAnswer: -164109576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -52227506?\nAnswer: 52227506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 + 0 = -4*a, 5*a - 2*x - 6 = 0. Let t(z) = -z**2 + 18 - 14 + 2*z - a. Let d(c) = -6*c**2 + 11*c + 11. What is 6*d(f) - 33*t(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18628 and 151580693.\nAnswer: 4657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 0*x. Suppose 72 = 3*p + d, d = -4*p - x*p + 95. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 2*u + 8, 4110*l - 4109*l - 12 = -4*u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**3 + 2*x**2 + 1. Suppose -8*y + 8 + 8 = 0. Give t(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -102*j + 4186. Let k be c(41). Solve -5*d + 20 = k*p, -8*d + 8 = -5*p - 6*d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = 7*v + 121. Does 3 divide (13530\/18)\/v + 6\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*b + 5. Suppose -2*y + 34 + 16 = 0. What is the remainder when y is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.584828 micrograms in grams?\nAnswer: 0.000000584828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**3 - 4*f**2 - 4. Let w = -12 + 9. Let s be p(w). Let u = s + 266. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*x = 93*x - 160. Solve 0*n = -x*n - 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 39*f**2 - 3*f + 2. Let q be p(2). Suppose -2*z = 5*a - 194, 4*a + q = 3*z - 93. List the prime factors of z.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-234)\/357)\/13)\/(35\/1225*-10)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 8:37 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egegeegegeeege. What is prob of sequence ee?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 376 * -3.27\nAnswer: -1229.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/2, 4, 2, 5\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20)\/60)\/(4\/(-605508)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1144 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34362577 + -34398965.618. Let t = 36428 + i. Let o = t + 0.118. Round o to 0 decimal places.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 2*m - 3*m - 3*m + m + 3*m - 3*m - 2*m + 6*m + (10 - 10 - 5*m)*(1 + 2 - 5))*(3*m**2 + 3*m**2 - 12*m**2) to y*m**3 + z*m**2 + a + t*m and give y.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 73*c**2 + 10*c - 41. Let g(p) = -p**3 + 7*p**2 + 3*p - 13. Let m be g(7). Is a(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y + 2 = 19*y - 2*o, -2*y - 5*o + 31 = 0. Let i be (y\/(24\/(-40)))\/1. Which is smaller: -45 or i?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1503*v + 3180*v + 3634*v + 3155*v - 1526*v)*(v + 3 - 3).\nAnswer: 6940*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2)\/o)**(10\/7))**(-35))**22 assuming o is positive.\nAnswer: o**3300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/56 and -79\/840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 30. Suppose 71 + 137 = -4791*i + 4804*i. Determine y(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.23, -546359?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**2\/2 - 7. Let l(v) = 10*v. Give p(l(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 90043.\nAnswer: 28\/90043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 + 5*y + 4. Let d(k) = -4*k - 1. Let q be d(1). Let s be (-10)\/(-6)*(q - -2). Is m(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 7. Let u(v) be the second derivative of 1\/10*v**5 + 0*v**3 + 0*v**2 + 1\/12*v**a - v + 0. What is the third derivative of u(b) wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3792)\/376672*(-8)\/(-6).\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -719 - -719.0000012125. Round g to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569574.\nAnswer: 2, 3, 31643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7171, -7310, -7449, -7588, -7727, -7866?\n\"Answer: -139*k - 7032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/908 and -65\/32?\nAnswer: 7264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -167*d**2 + 2 - 2*d + 341*d**2 - 175*d**2 - 2*d**3 as f*d**2 + l + r*d + c*d**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*j**3 - 54*j**2 - 76*j - 30.\nAnswer: -2*(j + 1)*(j + 5)*(4*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -210362*p**3 - 27865*p**2 - 4626882*p**4 + 211380*p**3 - 45143*p**2 - 30 - 2496*p - 950122*p**3 - 2.\nAnswer: -2*(39*p + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - k**2 - k. Let q = 10 + -20. Let g be 6\/q - 2\/5. Let x be p(g). Calculate the greatest common divisor of 11 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from svvvvavcscvsclslcsyv.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -31. What is the least common multiple of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404611362 is divided by 84.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -122.\nAnswer: 48.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3\/7 + 3494566*t**2\/7 - 27956414*t\/7 + 3494550 = 0. Calculate t.\nAnswer: 1, 7, 1747275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2189 divided by 11?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d**3 - 3*d**3 + 3*d**3 + (3*d**3 + 0*d**3 + 10*d**3)*(-5 + 6 + 1 + 5).\nAnswer: 99*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34523 is divided by 416.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*f - 604*f = 15620 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-7) + (-351)\/462. Let t = 1\/22 + m. Factor -2\/7*b**2 + 2\/7*b**4 - 2\/7*b + 0 + t*b**3.\nAnswer: 2*b*(b - 1)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2529 and 1967?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0734 - -12.25458.\nAnswer: 12.32798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1063757)\/(-39) + 2\/(-3). Let b = d - 27140. Let v = b + -135. Is -2 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -38*u + 3. Give x(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5988, -8309, -10630, -12951, -15272, -17593?\nAnswer: -19914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10981 and 0.1.\nAnswer: -1098.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + d - 6. Let t(n) = 11*n - 3. Let o(g) = 4*g - 1. Suppose -4*s = -4*u - 32, 2*u + 4*s + 22 = 6. Determine d*t(z) + u*o(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -1003681?\nAnswer: -301104.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -245, -250, -257, -266?\n\"Answer: -a**2 - 2*a - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -15*v**2 + 11*v. Let k(j) be the third derivative of -2*j**5\/15 + j**4\/4 + 30*j**2. Let c(r) = 6*b(r) - 11*k(r). Let o(g) = 42*g**2. Give o(c(y)).\nAnswer: 168*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*p + 4*f + 80, 4*p + 188 = -3*f. Let d = p + 55. Solve 2*x + 5*k = 5, 5*k - 4*k + 26 = d*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34032 is divided by 897?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1853*s + 1241*s + 2042*s + 2385*s.\nAnswer: 3815*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289283 is divided by 1793?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**3 - 3447*x**2 + 10205382*x - 20396952 = 0?\nAnswer: -2507, 2, 1356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75169106?\nAnswer: 2, 23, 929, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - 5*l**3 + 4*l**3 + (-142 + 294 - 150 + 300*l**2)*(-2 + 2 + 2*l) - 4*l + 4*l + l**3.\nAnswer: 603*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/72 and 73\/2142.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 10*v + 30. Let s(f) be the second derivative of -7*f**4\/12 + 3*f**3\/2 - 2*f**2 + 2*f. Let a(y) = -4*y**2 + 5*y - 2. Give v*s(d) + 11*a(d).\nAnswer: -2*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13887 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0312, -2, 1, 0.4 in decreasing order.\nAnswer: 1, 0.4, -0.0312, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4155868 centuries?\nAnswer: 498.70416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 1) + 2 - -4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30777?\nAnswer: 3, 10259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -145935069 divided by -302143\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 33 = 9. Let s be (-50)\/x + 1\/(-4). Suppose -z + s*z - 10 = 0. Let r(f) = f**3 - 3*f**2 - 1. Give r(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 489018 divided by 9?\nAnswer: 163006\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271, 35, 545, 1259, 2177, 3299, 4625?\nAnswer: 6155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22512260 (base 7) in base 12?\nAnswer: 7aba12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 31 = -18*c. What is the remainder when c is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1946*g**3*x*z**3 - g**3 - g**2*x*z**2 + 33*g**2*x*z - z**2 wrt z?\nAnswer: -11676*g**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429865.\nAnswer: 5, 149, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/45))**(-44)*(i**(-19)\/i)\/(i*i**(-10\/7)\/i) assuming i is positive.\nAnswer: i**(-5234\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 225*b - 9. Let v(c) = 223*c - 10. Let t(g) = 9*j(g) - 8*v(g). Let p(n) = -4*n. Determine t(p(r)).\nAnswer: -964*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8755.\nAnswer: 5, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -5, -2\/27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmohoofoo. Give prob of sequence ho.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1319?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321 divided by -1.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -d - 3*a, d + 2*d + 22 = -5*a. Let s(q) = q - 1. Let p(j) = j**2 + j - 2. Give d*p(f) - 2*s(f).\nAnswer: f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 19*h**2 - 128*h + 250. Calculate the remainder when 270 is divided by n(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l - 3. Let b be ((-1)\/l)\/(-1*1). Let r be (b\/(-2))\/(2\/28). Solve -m = -4*o + 8 + r, 3*o = m + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 415\/6 + -69. Is n <= 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3703 + 3703 + 24569*h.\nAnswer: 24569*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/4*(((-28)\/(-24))\/(-7))\/((-105)\/(-126)).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -175829*p + 3692418. Give a(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**4 + 5*w - 5*w + (7 + 14 - 3)*(-2*w**4 + 0*w**4 + 4*w**4) + (-w + 2*w - 3*w)*(-w**3 + 2*w - 2*w) to o*w + z*w**4 + r*w**3 + j*w**2 + y and give z.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 761*i + 1807*i - 826*i)*(5 - 3 + 3) to p + k*i and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 + -1 + 4 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjpj when four letters picked without replacement from pjppjppjppjpppjp?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 192. Let m be j(-33). Suppose c + z = -4*z + 20, 3*c - z - 12 = 0. Suppose c*n + m = 4*v, -n = -v + 8 + 24. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1379, -1332, -1251, -1136, -987, -804?\n\"Answer: 17*y**2 - 4*y - 1392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -18, 3 in ascending order.\nAnswer: -18, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302849101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/2 + 13155*q**4\/2 + 26315*q**3\/2 - 13155*q**2\/2 - 13157*q = 0. What is q?\nAnswer: -2, -1, 0, 1, 13157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 12168*t**2\/7 + 6134232*t\/7 + 773109842\/7 = 0.\nAnswer: -19661\/78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.2 - -2.2. Which is smaller: j or 14?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 28. Suppose 5*u = 3*q - 48, 0*u - 2*u - 64 = -4*q. Calculate the remainder when q is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2719179 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1450)\/29)\/(0 - -1). Let i = -54 - o. Let f be (((-4)\/(-5))\/(-1))\/2. Which is smaller: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-5) - 8\/(-10). What is the tens digit of 69\/(i - (-3 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t + 45. Let p(u) = -u**3 + 5*u - 44. Calculate 3*d(f) + 2*p(f).\nAnswer: -2*f**3 - 2*f + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**2*s**2 + 19*a**2*s - 23188*a**2 - 4247*a*s**2 + 13*a*s - 2*a + 3*s + 2 wrt a?\nAnswer: -12*s**2 + 38*s - 46376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1153 and -16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*c**2 + 28*c**2 + 42*c + 3 - 111*c**2 + 3*c**3 wrt c?\nAnswer: 18*c - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.32 (b) 0.2 (c) 18\/11 (d) -9 (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/((-19)\/(-38))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -3) + 8\/20 + (133464\/30)\/(-67)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9)\/((-10)\/75). Suppose n*m = 2*m + 69. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 263706608 and 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a + 5. Let r(v) = 4*v + 7. Let d(z) = 7*k(z) - 5*r(z). Let j be d(0). Let w(t) = -t**2 + t - 9. Calculate w(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/3 - 20*l**3\/3 - 67*l**2\/3 - 16*l.\nAnswer: -l*(l + 1)*(l + 3)*(l + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/12)\/m)**15)**(-22) assuming m is positive.\nAnswer: m**(605\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-622)\/(-3)*3\/1. Let n = 529 + k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -13)\/(-1*2). Suppose -m*k - 2*q = -19, -k - q - 2*q = -9. Suppose -2*d = k*d - 115. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -34, -63, -100, -145, -198?\n\"Answer: -4*r**2 - 9*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h - 18. Let u be d(4). Solve -c = -u - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 2*j - 5*s - 9, 2632*j - 2631*j + 31 = -3*s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 + 2*a**2 + 2*a. Let u be x(2). Let l = -1 - u. What is the second derivative of w**4 + 0*w - l*w + 2*w + 0*w**4 wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + o + 0 + (-2*o - 1 + 1)*(2 - 4 + 1) + 0 + 3*o + 0 - 18*o + 6*o - 4*o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.08464782 rounded to four decimal places?\nAnswer: 5.0846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((-4)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, o: 7}. Give prob of picking 3 o and 1 q.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/18 - 2\/(-8)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 4*y + 223, 6472 = 3*v + 4*y + 6693 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -569801, -2279215, -5128257, -9116939, -14245273, -20513271?\nAnswer: -27920945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25839 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 - -259. List the prime factors of a.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 33. Suppose -2*q + 23 = g. Differentiate -31 + 3*o**q + 4 - 4 with respect to o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44893.284 rounded to 0 decimal places?\nAnswer: 44893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 0. Let l = 2 - t. Suppose -7 + 59 = -9*g + 43. Which is the closest to l? (a) g (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzzzzzbbbbzz. Give prob of picking 1 b and 1 z.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 2:47 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3655784, -3655788, -3655802, -3655832, -3655884?\n\"Answer: -w**3 + w**2 - 3655784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 36*j**2 + 13*j + 516. Let z be l(-36). Solve 45*d = -z*d + 279 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -297*i + 5214. What are the prime factors of r(14)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 483701816?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(136) + sqrt(136)*2) + sqrt(136) + sqrt(136) - sqrt(136) - sqrt(136))\/(4*(sqrt(8) - sqrt(288))) + -1.\nAnswer: -1 + 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-12) - 153\/252.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -13. What is the greatest common divisor of 12 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*a + 0 + (-5 + 3 + 4)*(0*a + 0*a - a) + 9*a - 26*a + 0*a + a + 5*a - a.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2198 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 1:56 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/119 - ((-33804)\/(-510))\/18\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 5:25 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 216625 - 216625.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from {x: 8, e: 1, v: 6, z: 3}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138764 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*p + 2915 - 38*p - 2915 + 3*p**3 to the form y*p + s + j*p**3 + o*p**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of (-474)\/(-10) - ((-259)\/(-35) - 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 146149 - 146159. Let c = 16 + -8. Sort -4, w, c in ascending order.\nAnswer: w, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3872) + sqrt(14)\/sqrt(7)*5.\nAnswer: 49*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*z - 12350 = 0, 2*o + 2*z = -554 + 5482. What is the remainder when o is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*r - 399 - 56 = 0. Suppose -5*q + q - 136 = 0. Let k = 57 + q. What is the remainder when k is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97+53678293\nAnswer: 53678196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/(6\/(-2))*(-23010)\/(-590)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o**2 - 893*o + 55. Let v be d(100). Calculate the highest common factor of 7097 and v.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 6 + 9. Suppose -m*n = -n, -5*n = v - 1. Is 117 - (v + 2 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-3) + (-3)\/(-1). Suppose -x*n + 27 = q, 2*n + 2 = n. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4503152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (2 - 4) - -1 - 3. Sort d, -3, -17 in increasing order.\nAnswer: -17, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t. Let g(q) = -q**2 - 7*q + 7. Let j(h) = -4*d(h) + g(h). Let p be (-1)\/(-2)*(-18)\/3. What is the units digit of j(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4\/9)*t)\/t**(-2\/3)*t**(-2\/11)*t**4)**(1\/2) assuming t is positive.\nAnswer: t**(499\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 2344?\nAnswer: 2344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49202186 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069332062 rounded to 4 dps?\nAnswer: 0.0693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -716142 to the nearest 10000.\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - (-110)\/11) + 2105. Calculate the greatest common factor of 68 and k.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**3\/3 + 4*p**2 + 26*p. Calculate q(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 956 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4382 times -0.34?\nAnswer: -1489.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 132*t - 387.\nAnswer: -(t - 129)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -313760 rounded to the nearest ten thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2, 3\/4, 3, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14) - (27 - (948260\/16422 - 31)).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1805\/55 - 4\/(-22). Suppose -z + j = -l - 31, l + 4 = 0. Suppose 4*u - z + 20 = 0. What is the remainder when 27 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -119868000 to the nearest 100000.\nAnswer: -119900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.34 + -0.04. Suppose 0 = -4*j, 3*b - 59 - 46 = 3*j. Suppose -9*m = -2*m - b. Sort n, m, 2 in descending order.\nAnswer: m, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3580872 is divided by 355?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.426 + 0.426. What is the second smallest value in 2, 2\/217, 2\/9, d?\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 40*p = 0. Calculate the remainder when 71 is divided by (-15 - 24)*(p + -1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75218 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqe when three letters picked without replacement from {j: 4, k: 6, z: 2, e: 1, q: 1, l: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 12. Let b(h) be the third derivative of 0 + 1\/24*h**4 + 1\/60*h**5 + 0*h**3 - 1\/120*h**6 - d*h**2 - 1\/210*h**7 + 0*h. Determine y so that b(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, q: 5}. What is prob of picking 1 u and 1 q?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*l + 10, -l - 15 = 4*c - 0*c. Suppose 0 = -l*i + 5 + 10. Solve -5*p - 14 = 3*v, -i*p - 2*v - 8 = -0*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 - 16*k**2 + 2*k - 14. Let d be a(8). Suppose 7 + 0 = -n - v, -5*v = -5*n - 15. Is 5 a factor of ((5\/d)\/n)\/(4\/(-48))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11385390 divided by -2277078?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 4*t - a + 13 = 0, -4*t - 3*a = -7. What is the tens digit of 6 - t - 6 - -70?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*r + 0*r**2 + 0*r**4 + 1\/4*r**3 - 1\/4*r**5 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*o + 2, -2*v - 4*o + 20 = 0. Suppose 22*k - v*k = 104. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 105\/17, -0.1, 4, -3\/1660, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 - 54.4. What is the closest to -1 in 2, k, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 7 = -6*s - h, -s - 3*h + 17 = 0. Solve 10 - 8 = -s*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92417, -97301, -102185, -107069?\nAnswer: -111953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 107, -841 in ascending order.\nAnswer: -841, -5, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*q**3*y*z - 6*q**3*y - 121245*q**3*z + 3*q**2*y + 33*q**2*z + 33*q*y - 3354 wrt q?\nAnswer: -102*y*z - 36*y - 727470*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)*(-15)\/18. Let m be (-1 + 3)\/(2\/(-4)). Let y be (-7)\/28 + 1\/m. Put o, y, -1 in descending order.\nAnswer: o, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 4:02 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3654191482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11774 - 3?\nAnswer: -11777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*b + 315 = 39 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 592 + 582 + 38*f**4 - 1173 as t + y*f**3 + c*f + p*f**4 + s*f**2 and give p.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2299)*-1)*-1*3 - ((sqrt(2299) + 4 + -2 - sqrt(2299)) + sqrt(2299) + sqrt(2299) + 3 + 5))**2.\nAnswer: -286*sqrt(19) + 2468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 7:28 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.038.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3145*z**3 + 89625*z**2 - 506135*z + 230055 = 0.\nAnswer: 313\/629, 7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11022 (base 4) to base 2\nAnswer: -101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Let f be 3\/(-3 + (4 - -2)). Let g be f\/(-17)*(-12)\/(-6). Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 659 + 144. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 17 = -11. Let v = 1823\/7 - 260. Let i = 0.39 - -0.01. Which is the biggest value? (a) v (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 + 3*r - 2. Let l be v(1). Let h = -1 + -25. Let x = -17 - h. Solve 0 = -l*s + 3 + x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3289 - -170983\/52. What is the common denominator of 19\/10 and m?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 5) + 4 + -1 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*24\/234*13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m. Let p(n) = -31824*n - 956. Give p(c(o)).\nAnswer: 95472*o - 956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 6. Let b be (39\/(-21) + 2)\/((-15)\/(-47595)). Let r = b + -453. What is the third smallest value in a, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 2*d**2 - 7*d. Let f be s(4). Suppose 0*r = 2*r + 54. Let z be (4\/(-6))\/(6\/r). Solve f*o = -p + 11, 5*p + z = o - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 3*v - 120. Let s be 1056\/495 - (-2)\/v. Solve -t + s = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 1. Let s be j(2). Suppose 21 = 3*m + 6*a - 3*a, -4*a = -5*m + 8. Suppose 0 = 2*w + 3*c - 62, -w + m*c - s = -10. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3209 + -3158. Calculate the greatest common divisor of x and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1302115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/6*(-12)\/(-10). Suppose -3*j = -2*u - 11, u + q*j = 4*u + 14. Suppose 3 = u*l - 3. Is 3 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h**3 - 13*h + 13*h + (0 + 0 + 2*h**2)*(3*h + 3*h - 4*h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -12138.057 to the nearest integer.\nAnswer: -12138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15362420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = -2*d. Let l = d - -7. Suppose 3*k = 2*k + l. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 18*a**2 + 17*a - 7. Let x = 3 - 1. Suppose 2*f - x*j - 241 = -3*j, 0 = -4*f - j + 483. Calculate the remainder when f is divided by s(-19).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9710934 at most 9710938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 684 minutes before 12:21 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/5))**(-15\/11)*s**3\/(s**20*s))**(-29) assuming s is positive.\nAnswer: s**(6090\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-14)\/(-18))\/7)\/1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 524 - 443 = -77*o + 1390. Solve 2 = 2*y, -2*y + 10 = o*g - 15*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 2*c - 42, 49*t + 2*c = 20*t + 474 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 572661.6nm?\nAnswer: 572.6616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and (36 + -10)*1 - (0 + -1).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1175 = 4*y, 2*y = -a + 2*a + 583. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2380 and -119\/50?\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5147 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121211223001310 + 10?\nAnswer: 121211223001320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19186.\nAnswer: 2, 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2319 + 2324. Put 3, s, 10 in decreasing order.\nAnswer: 10, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 167*h**7\/14 + 13*h**3 + 634*h. Find the second derivative of a(d) wrt d.\nAnswer: 10020*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11544 (b) 0.1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 777425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 227779*s**2 - s - 20. Let v(p) = 227779*p**2 - 19. Let g(a) = 5*m(a) - 6*v(a). Let o be g(-6). Round o to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -235952.8 + 236178.093024. Let g = -2.274124 + s. Let v = 223 - g. What is v rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 38 + 166 = 0. Let p be u\/18 - (-4)\/18. Let n(r) = 2*r - 5. Let q(d) = 6*d - 14. Let w(y) = 8*n(y) - 3*q(y). Give w(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/4747821 and -61\/345.\nAnswer: 23739105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*(2*sqrt(17)*6*2 + 4 + -2*sqrt(34)\/sqrt(2)))**2.\nAnswer: 4400*sqrt(17) + 206100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 32 = -3*f, u - 10 - 46 = -5*f. Which is smaller: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78 - 121) + 32 - -103.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 579 = -13*c - 227. What is the tens digit of 93\/c*564\/(-3 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -n + 5, 18 = c + 3*c + 2*n. Suppose c*g - 1165 = 831. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + q - 3. Let r be -4 + 28\/(-154) + (-20)\/11. Let d be 4 - (q - r) - -17. Calculate the greatest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-84))\/(4\/(-3))*140\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4181 (base 14) to base 5\nAnswer: -330120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -44d (base 15) to base 13\nAnswer: -59b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 4*f = -80, 2*c - 190152*f + 190149*f - 85 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8445663 to the power of 1\/2, to the nearest integer?\nAnswer: 2906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -981*-2.3\nAnswer: 2256.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.28 + 0.08. Let s = -5.4 - -5. What is the smallest value in s, 4\/9, f, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thh when three letters picked without replacement from hyyyyyhht.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*v - 63*v - v**2 + 41*v)*(-31 + 31 - v - v**2) in the form z*v**3 + g*v + d*v**2 + p*v**4 + o and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1795181 = f - 1617045. Let b = 6302226 - f. What is b rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/60 - 0)\/(120\/100).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 627, 652, 679, 708, 739, 772, 807?\n\"Answer: x**2 + 22*x + 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/44 + 73\/(-10) - (-2)\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 86.06243, -0.27, 3 in descending order.\nAnswer: 86.06243, 3, 2\/3, -0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2, -3\/5, 406, 1\/4, -4, 2 in ascending order.\nAnswer: -4, -2, -3\/5, 1\/4, 2\/3, 2, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -252358, -504710, -757062, -1009414, -1261766?\n\"Answer: -252352*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 220 = 11*b. Let v = b + 13. What is the remainder when v is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.075185548 times 12\nAnswer: 0.902226576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -55313.\nAnswer: 1\/55313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2336 and 800?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -74? (a) -0.4 (b) 6\/13 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-20 - -14) + -7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1827.34393 - -0.34393. What is the closest to -2\/5 in -0.3, 1, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a meter in micrometers?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 47 - 8. Let m(l) = -2*l + 31. Let z be m(d). Calculate the remainder when 61\/z + (-1)\/5 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3 - 1 - 2 + 13*w. Let b(n) = -n + 4*n - 4 + 0*n + 6*n. Calculate 7*b(t) - 5*v(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(833) + 2) - sqrt(833))*1)**2 + (sqrt(833) - (-1*sqrt(833) + 4)) + (sqrt(833)*-2 + -4)**2 + sqrt(833).\nAnswer: 189*sqrt(17) + 4193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -2 - (0 + -8 + 21 + -14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33363 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7673096 - 3336904. What is g rounded to the nearest one hundred thousand?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -1359827, 9 in decreasing order.\nAnswer: 9, 3, 0, -1359827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 - -1 - (-7 + 6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 16 = -2. Solve -1 = -l + 6*c - q*c, 2*l - 5*c = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + -64465?\nAnswer: -64454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 781221?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1745 (base 8) in base 4?\nAnswer: -33211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1. Suppose y = 5*q - 12, 93*q - 96*q = -3*y + 12. Sort y, -1, m.\nAnswer: -1, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8151 by -405.\nAnswer: 2717\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*l - 66 = 4*l, 0 = -4*l - 12. Let v be 11 - 3 - 6\/2. Let t be (w\/(-5))\/(2\/v). Solve n - 4*y - t = 0, 5*n + 3*y = -y - 27 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.698 + 0.678. Let s = 1121\/3 + -128873\/345. Let a = 12\/23 - s. What is the closest to a in g, 3, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2632\/27, 5, -11\/5.\nAnswer: -2632\/27, -11\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -59 + 312 + 52 - 257*a + 123*a + 290*a. Is z(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 2*t**4\/3 - t**3\/2 - t**2 - t. Let h be b(-2). Let s = 41 + 49. What is the highest common factor of s and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -159 + 2*p + 129 + 72. Let m be y(-18). Suppose -m = -5*q - h, -h + 16 = 2*q - 4*h. Solve 5*t + 0*t - q*c = 23, -5*c - 20 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2343*w**3 - 18*w**2 + 9*w + 34. Let c(j) = 1176*j**3 + 8*j**2 - 4*j - 15. Calculate 9*c(a) + 4*n(a).\nAnswer: 1212*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 - 30 = 3*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l*l\/(l*(l\/(l*l**2*l*l)*l)\/l)))\/l*((l*l**(2\/11)*l*l)\/l)\/l)\/(l*l**(-6)\/l*l**(-13)))**(-31))**(-28) assuming l is positive.\nAnswer: l**(135408\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 2, l: 9, v: 8}. What is prob of sequence ez?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/11 - 1758*n**2\/11 - 515094*n\/11 - 50307514\/11.\nAnswer: -2*(n + 293)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-67 - -250 - 301) + -1 + 40\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -1.3.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 540036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6089)\/6089)\/(((-224)\/10)\/4).\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j - 9. Suppose 3*o = g - 17, o + 9 = -3*g - 2*o. Factor -j*y**g - 16*y + 6 + 0*y**2 + y.\nAnswer: -3*(y + 2)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -422.9425964141 and 0.4.\nAnswer: -422.5425964141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178 - 6232\/35. Let i = -1059 - -1840. Let m = -779 + i. Sort -1\/2, h, m in descending order.\nAnswer: m, h, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.1755?\nAnswer: 0.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (7 - 5) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j + 371 - 38*j**5 - 276 - 96 - 2*j**5 + j - j + (0*j + 2*j - j)*(0*j**4 + 0*j**4 - j**4).\nAnswer: -41*j**5 + 6*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v - 3. Let z be r(-4). Suppose -2*l = 3*l + z. Suppose 2*u = -y - 2*u - 5, -2*y = 3*u. Which is the nearest to 1? (a) y (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 303 - 5?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m + 36. Let s be u(-9). Suppose s*h - 4*b = h - 395, 3*h - 3*b = 1245. What are the prime factors of h?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -362616 divided by -24\nAnswer: 15109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 548 take away -1.3?\nAnswer: 549.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1026 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + 168 + -63 - 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 182\/2337 + -485064\/6221873. Does n = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -21, -29, -37, -45, -53?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 7*p**2 - 5*p + 5. Let z be j(-6). Let r = -8 + 20. Let n = r + z. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66911 - 66911 - 157*r to q*r + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139 divided by 761.\nAnswer: -139\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31289.7 rounded to the nearest 100?\nAnswer: 31300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -29*z**2 + 6*z + 6 + 13*z**2 + 15*z**2 - 1. Let t be a(6). Solve 0 = t*x + 5*c - 5, 4*x + c - 3*c = -20 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-18))\/(1*(-6)\/9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + 4*n)*(0 - 2*n + 0) - 88 + 12*n**2 + 88 + 2*n**2 + n**2 - 4*n**2 + (6*n - 6*n - 64*n)*(-1 + 2*n + 1).\nAnswer: -119*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -627?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 1\/2 - 1\/((-8)\/196).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3 = -t, -2*t = -3*c + 81. Let o = c + 10. What is the highest common divisor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 3:58 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -120124 (base 5) to base 11\nAnswer: -3353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**2 - 6. Suppose t + 4*t - 15 = 0. Let l(u) = u + 2. Let i(g) = -g - 3. Let j(n) = t*l(n) + 2*i(n). Give x(j(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 8*d = 151*r - 302, 61*r - 4 = 3*d + 59*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/263325 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*t**5 - 2*t - 224 wrt t?\nAnswer: -1640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2526 - -2527.031. Is n bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 9*s + 12*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -76 (base 12) to base 6\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 10*m + 10680000 = 0. What is m rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4 - 33194*q**3 - 66404*q**2 + 132776*q + 265584 = 0 for q.\nAnswer: -2, 2, 16599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**7)*((y\/(y*y\/(y*y*y\/y**(-1)*y)*y))\/y*y*y*y)\/y)\/(y**(-4\/7)\/(y**(1\/3)\/y)) assuming y is positive.\nAnswer: y**(229\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6845*f = -6881*f + 612 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003259 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143 - -178. What is the greatest common factor of y and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o**2 + 2*o - 2. What is the remainder when w(1) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2450*m = 3639*m + 40426 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + p - 1. Let b be l(-6). Let a = 29 - b. Suppose a = -5*d - 4*m + 255, 0 = -0*m + m. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 12:32 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = k + 14, -3*v - v = -3*k - 30. Let c(l) = l. Let g be c(v). Solve 0 = -g*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 times 121?\nAnswer: -18.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 0*d + 180. Let n = 4 + d. Calculate the greatest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -38. Suppose -5*m + 10 = -5*z, v = 4*m - 0*z + z - 13. Find k such that 3*k**2 + 0*k**2 + 47 - 51 + k**m = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 285 + -180. Is 105 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34 - (-3)\/(-6)*-6. Suppose -5*p + j = 12. Solve 5*o - 2*d = p, -5*o = -0*o - 5*d - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 12:37 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/3 and -23\/639.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/22 - (-5460)\/1155. Solve -14*l + 5*g = -13*l + 15, 0 = -n*l + 2*g - 29 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.6 take away 3?\nAnswer: -60.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6996630915?\nAnswer: 3, 5, 29, 5361403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = 48*p + 196 + 181. Let g be (-20)\/3 + (-2)\/(-3). Which is greater: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/2291, -44, 7 in increasing order.\nAnswer: -44, 2\/2291, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 435298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 2*w**2 + w + 141. Give j(0).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3959? (a) 1 (b) -0.78 (c) 0.1 (d) -5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 3:39 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(((-1488)\/(-32))\/(-31)).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-3) + 2*28\/(-32). Let 0 - s*r**2 + 0*r = 0. Calculate r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**3 + 0 + u - 3\/2*u**2 - 95\/12*u**4. Let p be a(-7). What is p rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*a**3 + 380*a**2 - 1175*a + 750.\nAnswer: -5*(a - 5)**2*(7*a - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/(2\/(40\/(-15))). Suppose c*b - 6 + 16 = 0, b = 2*d - 3607. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onnru. Give prob of sequence ron.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r + 8*r - 4 - 2*r**2 + r**2. Let y be h(4). Suppose 0 = -2*a - y*a + 12. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2480, 7, -2, -1.\nAnswer: -2480, -2, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 161 + 69. Is 47 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27237, 37077, 46917, 56757, 66597?\nAnswer: 76437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 123.8 (b) -0.013 (c) 1 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 29*j**2. Let a(c) be the third derivative of -c**6\/720 + 5*c**4\/24 + 5*c**2. Let d(h) be the second derivative of a(h). Determine f(d(i)).\nAnswer: 29*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(-3*sqrt(8)) + 5*1*sqrt(7).\nAnswer: 14*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1766145 and -369011.\nAnswer: 1397134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*n - 442*n - 47 = 2*q - q - 3*q, -4*n - 3*q - 27 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, v: 1, h: 11, n: 1}. What is prob of sequence wwh?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -446, -447, -450, -455, -462, -471?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 3*r + 4. Let j be d(-3). Let g be 1792\/2352*-21 - (-46)\/2. Let w(t) = t - 4. Let v be w(3). Put g, v, j in descending order.\nAnswer: g, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**7\/70 + m**6\/60 - 9*m**3 + 44*m**2. Differentiate k(o) wrt o.\nAnswer: 12*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708757339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42741 + 42741 + 10193*g**2.\nAnswer: 10193*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 72, 70, 68, 66, 64?\n\"Answer: -2*o + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 198*o**5\/5 - 1113*o**4\/4 + 631*o**3\/3 - 79*o**2\/2 - 5*o - 2457. Solve v(i) = 0.\nAnswer: -1\/22, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9057 + 18161 - u - 9104.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5}. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -350 + 287. Which is the biggest value? (a) -0.3 (b) w (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -23 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - v + 0*v + v. Let q(z) = -3*z. Let c(g) = 12*g. Let w(o) = 6*c(o) + 22*q(o). Calculate n(w(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7}. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from dld.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**7\/189 + 143*i**6\/135 + 5491*i**5\/90 + 361*i**4\/6 + 48*i**2 - 3. Let g(j) = 0. Calculate j.\nAnswer: -57, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 17*m + 24. Suppose 0 = 2*b + 4, 4*p + 3*b + 4 + 70 = 0. What is the remainder when 40 is divided by n(p)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -9 + 8 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 102896 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440972 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82 - 82 + 245 - 20*b - 77 + 58*b to the form u*b + g and give u.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1365 (base 12) to base 14\nAnswer: -b5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 3*k + 2 + 75 = -2*i, 2*i - i = 2*k + 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0205317 to 4 decimal places.\nAnswer: -0.0205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l + 574 = 223 + 215. Which is the fourth smallest value? (a) -3 (b) l (c) -3\/4 (d) 2 (e) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100001010000011101101 (base 2) to base 3\nAnswer: 12222220122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5649555 divided by 1?\nAnswer: -5649555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -39790*l - 517348. Determine x(-13).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6495.624 tonnes in nanograms?\nAnswer: 6495624000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 193*n**2 + 2. Let w(v) = 118 - 4*v - 261 + v + 143. Give b(w(x)).\nAnswer: 1737*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Let s = a - -2. What is the remainder when ((-12)\/(-14))\/(4\/14) is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, v: 2, b: 7}. Give prob of picking 2 v.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.89, -10.4, 4.\nAnswer: -10.4, 1.89, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*b - 98 - 21*b - 15*b to u + i*b and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/5)\/(8\/500). What is l rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**3 + 0*n**3 + n**3)*(-9 + 5 + 13) to the form j*n**2 + z*n + a*n**3 + m and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 7*r**2 - r - 1. Let s be a(-7). Suppose 3*w + w = 3*h - s, -4*w = 4*h - 8. Suppose z = 3*u + 57, w*u + 3*u = -z + 57. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34289813, -34289822, -34289831?\nAnswer: -34289840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/37)*l)**(-2\/5)*((l*l**(4\/13))\/l)**(-1\/4) assuming l is positive.\nAnswer: l**(-1199\/2405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 21*j**2 - 1. Let a(b) = -5*b**2 - 213 + 213 + 0*b**2. Let z = 0 - 2. What is z*i(c) - 9*a(c)?\nAnswer: 3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*y - y + 3 - 3*y)*(-165*y + 792*y + 147*y) - 3*y**2 + 2*y**2 + 3*y**2.\nAnswer: 6968*y**2 + 2322*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 435476*m**5 + 28*m - 6734 wrt m.\nAnswer: 8709520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4 + 6*g + 1 - 2*g + 1. Let v be h(12). Suppose -2*u + 4*u - v = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -785*t - 20715 = -g - 787*t, -5*g + t = -103553. List the prime factors of g.\nAnswer: 139, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7270983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**3 - 17 + 5*q**2 + 18 - 2*q**2 to w*q**2 + o*q + i*q**3 + n and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (24\/36)\/(2\/(-3))*-1037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-214)\/856)\/((-3)\/(-468)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -44*d - 1319. Let u be k(-30). Let j be ((-1)\/1)\/(4\/(-1)). Which is the closest to j? (a) u (b) -3 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/4 + 151*p**4\/4 + 3633*p**3\/4 - 34015*p**2\/4 - 101642*p - 222300 = 0. What is p?\nAnswer: -25, -4, 13, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45, 42, 39, 36, 33, 30?\n\"Answer: -3*s + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m + 1. Let h be t(5). Suppose 3*l + h = p, 5*l + 8 = -3*p - 0*p. Suppose c + 0*y = 5*y + 2133, 4*y + 8596 = p*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34\/11 + 2\/11*r**2 - 32\/11*r.\nAnswer: 2*(r - 17)*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2663, -5296, -7907, -10484, -13015, -15488?\n\"Answer: 2*z**3 - z**2 - 2644*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -255*a**3*y + 893*a**2*y + a**2 - 6*a*y + 1137885*a wrt a?\nAnswer: -1530*a*y + 1786*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2964044810 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p + 4*p + 3*p + 4*p**2 + 8*p.\nAnswer: 4*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**6\/6 + m**5\/5 - 3*m**4\/4 - m**3\/3 + m**2 + 31. Suppose z(q) = 0. Calculate q.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 46*a - 4. Let z(k) = -804*k + 70. Let h(p) = 35*i(p) + 2*z(p). Let j(o) = 406*o**2 + o + 3. Calculate h(j(r)).\nAnswer: 812*r**2 + 2*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 3, w: 4, k: 2, x: 6}. Give prob of picking 1 y and 2 x.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120 - -131. Solve 15*d + 4 = m*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741521.9 centuries in years?\nAnswer: 74152190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3708*y + 3787*y - 6*y**3 - 10*y**3.\nAnswer: -16*y**3 + 79*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 7:08 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 = -q, 4*q - 15 = -0*b + 3*b. Let t(i) = -i + 2*i + q*i. Let j(y) = -2*y**2. What is j(t(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001406845 to seven decimal places.\nAnswer: 0.0000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 - 6*m - 3 - 3*m**2 - m**2. Let o(j) = -j - 15*j**2 + 20 - 11*j - 25. Let u(i) = -13*k(i) + 6*o(i). Factor u(l).\nAnswer: (l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*s + 0*s = -14, f + 3*s + 26 = 0. Let k = f - -20. Suppose 3*m - 4485 = -k*m + 3*t, -3*t = -6. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k - 2*k)*(3*k**2 - 6*k**2 + k**2 + ((-4*k + 4*k - k)*(-4 + 1 + 5) + 3*k - 3*k - 2*k)*(1 - 1 - 3*k)).\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5379499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -4, -0.3, -1\/9, -460?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 1677 - 1682 = -n, -4*f = 4*n - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -671 - -670.6. Which is the nearest to -1\/4? (a) 6 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (3 + -8 + 0). Let w be -4*x*(-1)\/3. Let p(o) = -2*o + 1 - 2*o + 8*o - o**2. What is p(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 1:27 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15231 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 456797 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f = -5679. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide (-443 + -10 + 9)*-29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3691 + -3704. Which is the closest to -3\/2? (a) -0.5 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(2\/7)*q)\/q)**(2\/43))**(-2\/13)\/(q**(2\/7)\/(q*q*q**(-2\/7)))**(-2\/17) assuming q is positive.\nAnswer: q**(-11520\/66521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 704 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + -1 + sqrt(931) - (sqrt(1900) - sqrt(1900)*2)**2.\nAnswer: -1901 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9568 divided by -1\nAnswer: -9568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**6*o - 490*a**6 + 89*a**2*o + 2*a**2 + 2*o - 19 wrt a?\nAnswer: -600*a**3*o - 58800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14479 - -27442. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67.901*1.\nAnswer: -67.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16800 and 12465.\nAnswer: 13960800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66\/(-10) - 1*3\/(-5). Let d(j) = 11*j + 34. Let n(l) = -4*l - 12. Let r(c) = g*d(c) - 17*n(c). Let o(w) = -9*w. Give r(o(b)).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 6*k**2 + 3*k + 7. Let c be h(5). Let y be -2*(6\/1)\/c. Suppose 3*o - 2*o = y*q + 28, -2*o + 5*q = -41. Solve 2 - o = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 11472?\nAnswer: 91776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4305 and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3))**6\/(((o*(o\/o**1)\/o*o)\/o)\/(o\/o**(2\/3)*o)) assuming o is positive.\nAnswer: o**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152604692 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i**3 - 5125*i**2 - 5971*i = 0.\nAnswer: -853, -7\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*i - 25 = 0, 7*n - 12 = 4*n - 4*i. Calculate the remainder when 37 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 622622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1400 divide 153164200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/3, 238, 0, -2\/5.\nAnswer: -2\/3, -2\/5, 0, 1, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5*o - 12*o + 6*o)*(-4*o + 6 - 6) in the form a*o**2 + c + n*o and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267258?\nAnswer: 2, 3, 44543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4747.\nAnswer: 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113015246.\nAnswer: 2, 167, 338369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 151774506.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, 238 in increasing order.\nAnswer: -8, 0, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 10*y - 6 - 6*y)*(2*y - 2*y - y**3).\nAnswer: 2*y**4 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**2 - 3*n**2 + n**2 + 2. Let m(u) = -3*u - 4. Let s(z) = -z - 1. Let b(q) = m(q) - 4*s(q). What is i(b(d))?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.73 to zero dps.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - n**4 + 0*n - 75*n**3 - 2*n + 130*n**3 + n**2 - 79*n**3 in the form l + v*n**4 + d*n**3 + w*n**2 + u*n and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 - -160. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32713.\nAnswer: 32713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*f**5*q**2 - 18*f**4 + f**3*q**2 - 191*f**2*q - 2*q**2 wrt f.\nAnswer: 840*f**2*q**2 - 432*f + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from ynynmyn.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrrp when four letters picked without replacement from qrhhhrhrrhrhyprqh?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 310 (b) 0.4 (c) 10\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 1\/24*k**4 + 0*k - 2*k**2 + 0 + 0*k**3. Let w(f) be the first derivative of f**3\/3 - 2. What is z(w(r))?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 26*f + 4*f - 1.\nAnswer: 31*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 11*w**2 - 19*w - 141. Calculate s(13).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 432003264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7110 and 180?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 3.7. Let c = o - 4.0128. What is c rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6388610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from qvo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3))\/(19\/(-2331)). Let p = w - -41. Let f = 33.9 + -34. What is the closest to f in -0.2, 3, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-35)\/(-2)*(-24)\/(-132). Let r be -4 - (-2 - -2)\/(-2). Let b = -9 - r. What is the closest to 0 in -0.5, b, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -319.64 - -319. What is n rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11616384 rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 296548.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-4) - (-3)\/3. Put 3, n, 0 in decreasing order.\nAnswer: 3, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 44875, 131 in ascending order.\nAnswer: 2, 131, 44875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2101, -8426, -18959, -33694, -52625, -75746, -103051?\n\"Answer: b**3 - 2110*b**2 - 2*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 - 2*k**2 + 2*k + 2. Suppose 3*l = 6*l - 12. Suppose -d = 4*z + 4*d + 18, -l*d - 8 = 0. Calculate f(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004761 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 212, -2, -0.15, 2, -3133?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*w**4 + 2*w**3 - 1534*w + 661398.\nAnswer: 12*w**3 + 6*w**2 - 1534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 2, z: 1, k: 4, i: 4, t: 2}. Give prob of sequence iv.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**8\/1008 - o**7\/630 - 11*o**6\/360 + o**5\/20 + o**4\/4 + 1132*o**2. Solve h(w) = 0.\nAnswer: -3, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 162 - 162)*(-1 + 0 + 2 + (-7 - 1 + 2)*(0 - 6 + 4)) to k + f*m and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 11, 8, -8, 827, -1, 5 in increasing order.\nAnswer: -16, -8, -1, 5, 8, 11, 827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/22)\/(1\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48272090 rounded to the nearest one million?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhf.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -278123.7628461 - -278125.49. Let v = 1.727 - w. Round v to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1857344\/672 + (-24)\/(-252).\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 1. Let a(x) = 6*x + 1. Is a(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 3 - (0 + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100027.\nAnswer: 23, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106405 by 4.\nAnswer: -106405\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187056639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3\/14*(-21)\/18 - 7\/84\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1314, 3, -19, -5, -1, -2.\nAnswer: -19, -5, -2, -1, 3, 1314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -4)*(-24)\/9. Suppose -3*p + 18 = 2*w, 0*w - v = -w - p. Let x be (-2)\/(-2 - 0) - -2. Solve f - x*a = -11, f - 2*a + w = -0*a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 1 - (-3)\/(-3). Suppose -3*f = -0*f - q*y - 12, -3*f + 12 = 3*y. Solve 2*h + 1 = -h + f*k, 7 = -h - 2*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-11 + 12)) + -8 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 50174 (base 10) to base 12\nAnswer: 25052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -23192*n + 162342. Give g(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 + k**2 - 1345*k - 2705. What is z(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**2*z**3 - 255*g**2*z - g*z**3 + 4*g + 5*z**3 wrt g.\nAnswer: 4*z**3 - 510*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17110 and 1015.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*j - 1641*j - 54*j in the form p*j + c and give p.\nAnswer: -1783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 540.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2) - (1 + -6). Let i = y + -1. Calculate the least common multiple of i and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -267 + 267.1. What is the smallest value in -5, 18, p, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (163 + -170)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (-1*(sqrt(99) + 1*sqrt(99)) + sqrt(99) - sqrt(99)) - sqrt(99))\/(-2*sqrt(81)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 68 - 39 - 29.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 4*x**5\/15 - x**4\/12 + x**3\/6 - x**2. Suppose 13*o - 24*o + 11 = 0. What is the tens digit of d(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + 0. Let g = 782.19 + -779. Let i = g + -0.19. What is the second biggest value in t, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 8:06 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1053 greater than 2829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 9:45 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 1 (c) -393.8 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5722287 + g**3 + 5722287.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2 - 2*i - 1. Let a be c(-1). Suppose -20 = -5*z + 3*x, -a*x = -2*z - x - 11. Let y = -19 - -30. What is the remainder when y is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.734 + -3.034. Sort 0, o, -0.45 in decreasing order.\nAnswer: 0, o, -0.45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f + 223 + 40 = 10 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqdmmqqmmq. What is prob of sequence dmq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36618 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: Rearrange (-2*c - 3*c + 3*c)*(-2*c - c + 5*c) - c**2 - 2*c**2 + 2*c**2 - 485069*c**2 - 12*c + 485065*c**2 - 125*c to a*c**2 + r + s*c and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 - -353. Calculate the greatest common divisor of d and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 w, and 1 r when four letters picked without replacement from {r: 2, f: 3, i: 1, w: 4, j: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + -6 - -12 - (0 + 3 + 4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 8) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 0 + sqrt(75))**2 + 3 + (((sqrt(432) + sqrt(432)*1)**2 - sqrt(432)) + sqrt(432) - sqrt(432))*-6.\nAnswer: -10065 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -3, -0.3, -2672?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/7)\/((-102)\/(-119))*6. Sort 0, i, 10 in increasing order.\nAnswer: 0, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 29027191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/81 and 22\/189.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29.39677ng?\nAnswer: 0.00000000002939677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 15. Let j be h(10). Let l(q) = -q**2 - 8*q - 6. Determine l(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 51. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 2 - 2 + 6 + 2*y - 8 + 9*y**4 as m*y**4 + v + l*y**2 + o*y**3 + q*y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130216, -130214, -130212, -130210, -130208?\nAnswer: -130206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325919.909 rounded to the nearest one hundred?\nAnswer: 1325900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(153) + sqrt(153) + -3*sqrt(153))*1)\/sqrt(9) + 0.\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(90\/(-3)))\/(2\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010100 + 1?\nAnswer: -100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + b + 4. Let j be x(0). Let k = 79 - 25. Suppose -3*n - 5*u = -k, 7*n + j*u - 51 = 4*n. Calculate the remainder when 50 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3383 (b) 0.5 (c) 4\/11 (d) 3 (e) -2 (f) 189 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*g - 3*w, 0*g - 2*g - 2*w + 24 = 0. Let b(q) = -q**3 + 9*q**2 + 4*q - 11. Let k be b(g). Is 12 a factor of 5\/(-4)*-1*(k + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50434513 (base 6) to base 7\nAnswer: -15126534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/87 in -3, 0.5, 3, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59998 - 59998 + 510*d)*(1 + 1 + 0).\nAnswer: 1020*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-8 - (-19 + 17)) + (-1 - -13 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(0*q + 3*q - 2*q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20 - 18) + (-11)\/4*1. What is the nearest to -2\/9 in a, 0.02, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 81\/(((-12)\/18)\/((-2)\/(-3))). Let d = z + 89. Solve -27 = g - 6*g + 3*f, 5*f + d = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.1 - 2.9. Let j = 15.3 + i. Sort -7, j, -0.3 in increasing order.\nAnswer: -7, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-756)\/1050*240\/(-54).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 10*s - 39. Calculate n(16).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2 + 4*i. Let t(r) = -14*r**2 - 11*r. Let z(l) = 11*c(l) + 4*t(l). Let b(g) = -11*g - 2*g - g. Calculate z(b(n)).\nAnswer: -196*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -85*l**3\/6 - 4*l**2 - 26*l. What is the hundreds digit of j(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-30)*(h\/(h\/(h**(3\/11)*h)))\/h*h**(-2\/43)*h*h**(-2\/71)*h assuming h is positive.\nAnswer: h**(-933673\/33583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1938787, 1938788, 1938789?\n\"Answer: i + 1938786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 5:20 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z - 3. Let y(i) = 11*i - 5. Let a(b) = 7*q(b) - 4*y(b). Let f be a(-3). Find the second derivative of -2*o**4 + f - 5 - o wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36592867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*z + 5*l, 146*l = 275*l - 133*l + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1\/3 (c) 15 (d) -4 (e) 19.6 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 7*h - 1. Let o be m(-7). What are the prime factors of (-875)\/(-30) - o\/(-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + 3*c**2 - 4*c**2 + (-2*c - 2*c + 6*c)*(2*c + 0 + 0) + (-1 + 0 - 1)*(-c**2 - c + c) + (-2 + 2 + 2*c)*(-2 + 2 + c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11727 from -868216189.\nAnswer: -868227916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q*x**2*z + 2*q*x**2 - 25769*q*x*z - q*z + 39*x**2*z + 273*x**2 + 2*x*z wrt x?\nAnswer: -4*q*z + 4*q + 78*z + 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**10))\/(x\/(x\/(x**(-4\/9)\/x)))*((x**(1\/11)*x)\/x)\/(x\/x**(-18)) assuming x is positive.\nAnswer: x**(-739\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 914 is divided by 237?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 21. Calculate the greatest common factor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.76 or 21495?\nAnswer: 21495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = f + 2*x + 27, -5*x - 37 = 3*f. Let n = f + 29. Calculate the smallest common multiple of 8 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7499*y**2 - 7479*y**2 + 14963*y**2.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/9)\/(n\/((n**(-2\/3)*n)\/n)))\/(n**2)**(4\/13) assuming n is positive.\nAnswer: n**(-215\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*h**3 - 1814*h**2\/3 - 4528*h\/3.\nAnswer: -2*h*(h + 8)*(78*h + 283)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -100111011011101 (base 2) to base 4\nAnswer: -10323131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23553 by -7851.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36065917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 673.73 - 1.73. Let y = x - 669. Which is the fourth biggest value? (a) -2 (b) 0.05 (c) y (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/117)\/((-78)\/(-117)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5*sqrt(187) - sqrt(187)))\/sqrt(11).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 6*n - 44 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - h + 4 - 3)*(2 - 5 + 2).\nAnswer: h - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24171033.48 rounded to the nearest 10000?\nAnswer: 24170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643037?\nAnswer: 3, 11, 49789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*d - 8*d**3 + 142*d - 459995*d**2 + 459995*d**2.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1324 is divided by 151?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1360)\/816)\/(1\/(-13494)).\nAnswer: 2, 5, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21894293 is divided by 7298093.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 2*m - 12. Let a be f(4). Which is smaller: -19 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u + 234*h + 1168 = -41*u, h = u - 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1185*k - 11681 + 2156 = 74971 + 11489 for k.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (0 + -11 - ((-165)\/(-15) - 3)) + -46\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:14 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*i**3 - 63*i**3 + 50*i**3 + (i**2 - i**2 + i**2)*(4 - 2*i - 4) + (-2 - 1 + 1)*(-2 + 2*i**3 + 2) + 1 - 1 + i**3 + 11*i**3 - 5*i**3 + 7*i**3.\nAnswer: 27*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-15) + (-338)\/6. Let k = -34 - o. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/9*(-7 + (-85)\/(-10)). Suppose 2*c - 519 = -5*u + 206, w*c = -u + 153. What is the greatest common divisor of u and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/77)\/((-8)\/14)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 - (-248)\/(-31)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 - 9*a**2 - 2*a**2 + 2 - 2 - 3*a**2 + 5*a**2 - a**2 - 3*a**2 + (22*a + 10*a + 6*a)*(a + 4*a - 3*a).\nAnswer: 63*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -28. Calculate the remainder when 51 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3161.\nAnswer: 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pypzipppi. Give prob of picking 1 z and 2 p.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-2)\/(6\/72*6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -576 + 4?\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2465, 2457, 2449, 2441?\nAnswer: 2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**6 - 7*d**6 - 13*d**2 - 3*d**6 wrt d?\nAnswer: -960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 21*n - 2. Let r be p(-19). What is the greatest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 90*u - 30. Let x(y) = 2*y**2 + 91*y - 37. Determine -5*r(f) + 4*x(f).\nAnswer: -2*f**2 - 86*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -19*r**7\/7 - 53*r**4\/12 + 157*r. Find the third derivative of k(t) wrt t.\nAnswer: -6840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 461936 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*z + 10. Let o(n) = -4*n**3 + 3*n**2 - 5. Let t be o(3). Let x = 87 + t. Solve -3*l = -x - z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.41 + 42.922. Round o to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 1386 = -13*h. Calculate the remainder when 122 is divided by h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -3320121?\nAnswer: -3320131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385345 is divided by 1101?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/((-8)\/32). Suppose -5*k - 4*j = -416, 232 = 3*k - 0*j - s*j. Calculate the remainder when k is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4579 + -4556. Let p(s) = -10*s**3 + 2*s**2 + s - 2. What is the remainder when p(-2) is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2319944251 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: Simplify -5 + sqrt(162) + 2 + -4 + -2.\nAnswer: -9 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(550))\/(2*sqrt(539) - sqrt(11))*2)**2.\nAnswer: 3200\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 257877422 to the nearest integer?\nAnswer: 16059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 19\/1283 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-25)*(-1170)\/(-36)*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0 + 0)*(-90*c - 95*c + 49*c) in the form b*c + y and give b.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 26.915. Round s to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8833.\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qom when three letters picked without replacement from {q: 1, m: 2, k: 3, p: 1, y: 5, o: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5603138 and 0.18.\nAnswer: 5603138.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2303 - -110)\/(-43) - 102?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3201*o**3 + 3227?\nAnswer: 9603*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**3\/5 + 22672*o**2\/5 + 1050556*o\/5 + 937096 = 0.\nAnswer: -41, -5, 5714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyllynlnyykklkl. What is prob of picking 1 y and 2 n?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/3? (a) 0.3 (b) -5.5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.8, -0.08, 0.5, 1, -63159?\nAnswer: -63159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2172\/7 - 16865\/56. Find the common denominator of 109\/24 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175611 is divided by 98?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -11*p**2 - 542*p + 6. Let s(x) = 6*x**2. What is u(s(h))?\nAnswer: -396*h**4 - 3252*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {j: 7, a: 2, b: 4, u: 1, q: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -190*o**2 + 15*o. Let d(p) = 27*p**2 - 2*p. Give -15*d(r) - 2*y(r).\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 912 and 72?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (200\/(-110))\/((-3)\/2*-4) and -86\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 432, 430, 428, 426, 424?\n\"Answer: -2*f + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -71*f. Let y(p) = -70*p. Give -6*u(r) + 5*y(r).\nAnswer: 76*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v + 20. Let x be r(6). Let o = -59 + x. Let p(g) = 128*g**2 + 2*g - 5. Is p(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/15, 3, -0.5, 1\/8, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**6 + 2146*d**4 - 2*d**2 + 69*d + 23 wrt d.\nAnswer: -120*d**3 + 51504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70098 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 336836 + -30651016\/91. Let s = 404\/13 - r. Factor 98*c**5 + 112*c**4 + s*c - 268\/7*c**2 - 46*c**3 - 16\/7.\nAnswer: 2*(c + 1)**2*(7*c - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 6, s: 2, u: 1, b: 3}. Give prob of picking 1 b and 1 s.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 6, -2, -26, -72, -146, -254, -402?\nAnswer: -596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = -4. Suppose -v = -k*i + 3*i - 5, -2*v = -3*i - 5. What are the prime factors of (i\/(-10))\/((-1)\/(-26))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 23*b = 34. Let t = 21 - b. What is the remainder when t is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6) + 7\/(-21). Let a be -2 - -3 - 6\/i. Are a and 7 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 4*k**2 - 9*k - 7. Let w be h(-5). Suppose -3*u + w*u = 68230. Suppose 3*s = -4*f - u + 17788, 2*f = 5*s - 18301. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1914 + -0.3?\nAnswer: 1913.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m**2 + 17425*m - 8710 = 0 for m.\nAnswer: 1\/2, 1742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*l**3 + 3*l + 8 wrt l?\nAnswer: -75*l**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 18675.\nAnswer: 37350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20) - (sqrt(20) - (sqrt(40)\/sqrt(2) + sqrt(20)))*-1 - sqrt(200)\/(sqrt(40)\/sqrt(4)))\/(2*sqrt(1440)*5).\nAnswer: sqrt(2)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*f + 288 = 0, -266 - 134 = -3*z - 5*f. Let l = -82 + z. Suppose -104 = -59*b + l*b. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 429*x**2 - 1144*x. Let k(h) = -h**2 + 2*h. Determine -572*k(u) - v(u).\nAnswer: 143*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3\/2))\/((u**(-5\/3)\/u)\/u*u)*(u**(-2)*u)**(2\/3) assuming u is positive.\nAnswer: u**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 143436 = 4*f - 0*f, 0 = -2*f + 2*o + 71712. Is f a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147897 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15248899 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from cevccccccoixvcvcvcec.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1887 - 1855 = 27*w + 5*w. Which is smaller: 1\/4941 or w?\nAnswer: 1\/4941","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20 + 1 + 0 + -3. Let y = -443 + 439. Let u be 1\/(-2*y\/152). Which is bigger: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -227 - -104. Let l = g + 125. Let s = -0.4 + -0.1. What is the nearest to l in 0, s, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -24389\/523?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28344646 and 28344646.\nAnswer: 28344646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8936020 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 5*r - 2*r)*(-26*r - 731*r**2 + r**3 + 83*r - 56*r).\nAnswer: 2*r**4 - 1462*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 166616872 to the power of 1\/3, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2775)\/(-86025))\/((-2)\/(-6758))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182283 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 528 = 3*x. Let g = 78 + x. What is the least common multiple of g and 38?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154487.\nAnswer: 154487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-12)\/(-80))\/(18\/(-12))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 - 133.1. Let c = -24.09999873 - s. Round c to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -29. What is the remainder when 17 - (1 + -1 + -1) is divided by (-17)\/68 + 34\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**3\/3 + 3*z**2 - 10*z - 4. Calculate g(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 - 4\/(-3)*-18*4\/32 is divided by 76.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 1 = 3*j. Let m = j + 5. Suppose m*a = 3*a + 12. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*16\/(-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2455184550 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2. Suppose 17*v = 19*v - 158. Let z(p) = 2*p + 167 - 87 - v - p. Determine 2*t(b) - 4*z(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -682, -684, -688, -694, -702?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114802 is divided by 81.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-221)\/(-40) + 6\/(-48). Which is the fourth smallest value? (a) 3\/4 (b) 2\/5 (c) -2\/31 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578624271 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2686 + -1111. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 0.5 (b) 1 (c) 0.1 (d) 2 (e) 199\/4793 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10146\/1482 - (2 - -5).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((-1*sqrt(99))\/sqrt(9)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 14 = 5*j - 2*q, 0 = 2*q - 10. Suppose 4*r - j = m - 1, -2*m = -4*r + 2. Solve 3*h = 6*z - 2*z - 13, 0 = r*z - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1039 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -327590 to the nearest 1000.\nAnswer: -328000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 1:38 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 47*b**2 - 6. Let h(l) = -14*l**2 - 2*l. Let y(v) = -194*v**2 - 28*v. Let i(z) = 28*h(z) - 2*y(z). Calculate i(s(u)).\nAnswer: -8836*u**4 + 2256*u**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 59, 1\/588?\nAnswer: 1\/588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-540*234\/(-84240))\/(3\/(-28))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19, 1, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 3. Suppose -u = u + 6. Determine f(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1567107?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1702485 * -0.06\nAnswer: 102149.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 553568883 to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42935.\nAnswer: 5, 31, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -7*g**5\/60 - g**4\/4 + 5*g**3\/6 - 142*g**2. Let c(x) = -6*x**2 - 5*x + 4. What is -5*c(n) + 4*m(n)?\nAnswer: 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 84, 367, 850, 1533, 2416?\n\"Answer: 100*o**2 - 17*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002380895 rounded to five decimal places?\nAnswer: -0.00238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/21 and 19\/210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.257921 litres?\nAnswer: 257.921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*b - 26, 2*x + 36 = 5*x - 5*b. Suppose 0 = -x*d + 13*d - 12. Let m(r) = r**3 + 3*r**2 - 2. What is the least common multiple of 24 and m(d)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -25. Which is the second biggest value? (a) 5 (b) 0.17 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z - 21. Calculate v(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**3 + 2*b**2 - b - 2. Suppose 32*f = -20*f - 52. Give d(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -0.9. Suppose 9*b + 29 = 29. What is the closest to 6 in -0.4, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {k: 1, n: 19}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5469, -21778, -48953, -86994, -135901, -195674, -266313?\nAnswer: -347818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2*f + 4*f - 2*f + 3*f + 9*f + (-2 + 1 - 1)*(2*f + 0 + 0) + 5*f + 0*f - 4*f)*(5 - 1 - 5)*(34*f**3 + 41*f**3 - 27*f**3).\nAnswer: -576*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2491661 or -59799829\/24?\nAnswer: -2491661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 72 = -7*d. Solve v - 2*g = -2*v + d, -3 = -v - 2*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1023.55 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b - 2. Let v be u(-2). Suppose 0 = c + 5*d - d + 17, 4*c + 2*d = 2. Solve v = -2*a, -3*a + a = -c*r + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*p + 5. Let r be (-2 - (-2)\/p)*-242. What are the prime factors of ((-1)\/3)\/((-11)\/r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970362.03 rounded to the nearest one hundred?\nAnswer: 2970400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -140*n - 25. List the prime factors of q(-14).\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w + 7. Let g be a(-5). Let m be -2 + 2 - 1 - -7. Let o = g + m. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*c - 9*c + 208 + 26*c + 9*c in the form f + z*c and give f.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -58698 < -58674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/20)\/(3780\/(-1750)) - (-12)\/(-8)\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - m + 1. Calculate d(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -38. Let m be (0 + 2)*1*-2. What is the third biggest value in b, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 60972842*q - 60972842*q.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1109 = -2*h, -3*h + 5*l - 221 + 1878 = 0. Let v = h + -538. Suppose -4*m + 14 = -f - 2*f, 3*f + 4 = -m. Solve 2*p - m*g = -7*g + v, g = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -53. Let j = 31 + -26. Sort 2, q, j in descending order.\nAnswer: j, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18721 to 3 dps.\nAnswer: 0.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -623869 * 5.\nAnswer: -3119345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = -92*x + 438 + 728 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-20)\/3*6\/22. Let v = 0.3 + -0.5. Is v equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/2, 0.01, -31?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 g when four letters picked without replacement from ihiqhiiiigihihhg.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*10\/(-15)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -70620*f - 141204. Calculate b(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 214*n**2 + 30*n. Is 62 a factor of z(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + 0. Suppose -4*i + 2*i + 4*p = 20, 5*p = 5*i + 35. What is the biggest value in i, -0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 1, -16, 0.1 in descending order.\nAnswer: 1, 0.1, -3, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/4*(5 + (-59)\/7). What is the highest common divisor of 66 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357617*l**2 - 26*l**3 - 357624*l**2 + 715241*l**2.\nAnswer: -26*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2. Let z(u) = -2871*u**2 - 749*u. Give z(d(v)).\nAnswer: -25839*v**4 + 2247*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u - u - 5*u + u.\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(4 - (-148)\/(-40)). Let c = d + 2\/5. Which is bigger: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 233 or 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -2\/3 (c) 61 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 84400 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**(-3\/11)*(j*j**(-4\/5)*j*j)\/j**6 assuming j is positive.\nAnswer: j**(-199\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 199800\/13320 + 50\/(-3)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, 5, -3\/2, -0.088, 0.2, -4 in descending order.\nAnswer: 71, 5, 0.2, -0.088, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 111, 112, 113, 114, 115?\n\"Answer: z + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9007075*h*p - 298905*p + 4 wrt h.\nAnswer: 9007075*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-114)\/(-9) - 2\/(-6) is divided by (-1)\/2 - (-11)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578581265 to the nearest integer?\nAnswer: 24054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -24\/13, -4\/13, -2.1, -2.8, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -585128076 divided by 13\nAnswer: -45009852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331 + 461*y - 476*y - 1732.\nAnswer: -15*y - 1401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(60)\/(sqrt(10)*-1)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112 - -352?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, l: 1, y: 6, e: 3, v: 4, w: 1}. Give prob of sequence hye.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2090 - -2090. Solve -4*u = 4*s + 8, a = 7*s - 2*s + 3*u + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706.0079 years in decades?\nAnswer: 70.60079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - (8 - -29)) + 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01095884 rounded to five dps?\nAnswer: 0.01096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6045 - 205515\/34. Let h = b - 109\/170. Which is smaller: h or 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l + 3543 = 3627. Solve 0*r = -2*d - 5*r - 18, -15 = -l*d + 3*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*w + 10*w - 15*w as s + x*w and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11*7139834\nAnswer: 78538174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42.07 + 42.04727. What is l rounded to 3 decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*b**2 - 10*b**2 + 13*b**2 + 103*b**2.\nAnswer: 205*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 - 204*j\/7 - 202\/7.\nAnswer: -2*(j + 1)*(j + 101)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 10*d - 6*d - 13, 5*d + 5 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 6*u**2 + 3. Let f be h(6). Suppose 3287 + 2038 = -15*o. Let l = -355 - o. Solve l = f*d + 3 + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1471 - 1471. Put 1, 4\/5, 0.31, f in decreasing order.\nAnswer: 1, 4\/5, 0.31, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2025584.\nAnswer: 2, 11, 17, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -6793759?\nAnswer: 3\/6793759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and 325?\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 461414168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {c: 13, i: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d. Suppose -6*n + 5 = -5*n. Let s(h) = -n - 14 - 7*h + 26 - 8. What is g(s(x))?\nAnswer: 7*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6014147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 827 or -76?\nAnswer: 827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60984, -60961, -60938, -60915, -60892, -60869?\nAnswer: -60846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -515.2158 and -155?\nAnswer: 79858.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12139\/5 or 2428?\nAnswer: 2428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**4 + 88*d**3 - 196*d**2 - 88*d + 192 = 0 for d.\nAnswer: -24, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-15510)*-20 + (-3382)\/(-47).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*i - 3*j, 5*i - 2*i = -5*j + 27. Suppose 2*l + 3 = 3*l. Solve 2*q - l*q + i = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1172, 1205, 1254, 1325, 1424?\nAnswer: 1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 10:55 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19 - 210*m + 210*m - 18*m**2 wrt m?\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 595259 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.02145 grams to tonnes.\nAnswer: 0.00001002145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 6*s - 32, -7*s + 10*s + 7 = t + 6*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -411.3 times -3085\nAnswer: 1268860.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 297475497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwnnp. What is prob of picking 1 w and 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 80*a = 85*a - 6426 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68221949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(75) + (sqrt(75) - 4*(sqrt(75) + 0)))*6 - (sqrt(75) - (2*(sqrt(75) + 2) - sqrt(75)))*-3)**2.\nAnswer: 1440*sqrt(3) + 10939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/26723, 403, -15?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -773 at most as big as -1.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -2*d + 2*z, -61*d - 511*z + 506*z = -338 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**8\/1512 - 2*w**7\/945 - w**6\/540 + 11*w**2. Solve l(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, a: 2}. Give prob of sequence aj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -732962712359019 and 0.5.\nAnswer: -732962712359018.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2))**(-1\/4) assuming b is positive.\nAnswer: sqrt(b)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7267084 is divided by 726707.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*g - 66*g + 23556. Is g a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.114656ug to grams.\nAnswer: 0.000007114656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 4)*(9*t + 1 - 1) - 4*t + 0*t + 0*t.\nAnswer: -31*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1392 = g - q + 1354, -7*g + 236 = 3*q for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - ((-1 - -1) + -1). Let h = -10 + 12. Let j be 25\/(-5)*h\/(-5). Solve -w*c - 4 = b, 0 = -b - c - 0*c - j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, 3, 19, 197, 1 in decreasing order.\nAnswer: 197, 19, 3, 1, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212959050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/24 and -103\/80256.\nAnswer: 80256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -21.\nAnswer: -21, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from oouzuuuuooouu.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 182611 or 182613?\nAnswer: 182611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-30) + 365\/15. Let c(w) = w**2 - 11*w + 7. Let m be c(9). Let v = u - m. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**2 + 32*w + 5. Let h be s(8). Suppose -h*n - 38 = -178. What is the remainder when 64 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.968087178 - 0.031918322. Let c = 7.5 - 19.5. Let r = c - y. Round r to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**2 + 12. Let n(a) = -5*a**2 - a + 13. Let b(q) = 7*i(q) - 6*n(q). Does 7 divide b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 2 + 4)*(7*g**4 - 2*g**4 - 4*g**4)*(0 + 4 - 1 - 1 + 5 - 2 + (2 - 4 - 2)*(2 - 5 + 4)).\nAnswer: 13*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 11. Suppose -4*s = -3 - b. Solve 0 = s*y + y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10341301 (base 5) to base 14\nAnswer: -24c2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -38, -19, 6, 37, 74?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 - -47) + (-2 - -7) + 1 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18503.\nAnswer: 18503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7098 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/s**(-2\/91))\/(s\/s**(1\/6)*s)**8 assuming s is positive.\nAnswer: s**(-4271\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 4:02 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 118600089636.\nAnswer: -118600089635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 2*t**3\/3 + 4*t**2 + 4*t - 2. Let f = 112 + -117. What are the prime factors of l(f)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455921810 a multiple of 7742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.5 + 2.6. Let c be (110\/(-15))\/(24\/36). Let r be (6 + c - -2) + -1. What is the nearest to 2\/3 in r, u, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*f + 194*f - 81*f = -180 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.839 + 3.839. What is the nearest to k in 3, -3\/7, -1\/3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52237 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4673632.4337 and 0.06.\nAnswer: -4673632.3737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 12:34 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**8\/336 + o**7\/210 - o**6\/60 - o**5\/30 + o**4\/24 + o**3\/6 + o**2. Factor i(x).\nAnswer: (x - 1)**2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:05 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 4826099\nAnswer: 24130495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2590 and 67570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 3*a + 16. Let c(k) be the third derivative of -1\/20*k**5 + a*k**2 + 0*k**4 + 0*k - 2\/3*k**3 + 0. Differentiate c(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71\/3 + -24. Let a be 3\/(-12) - 471\/(-180). Let r = a + -13\/6. What is the nearest to o in r, -1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9744659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 161, 334, 507, 680?\n\"Answer: 173*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764274829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llh when three letters picked without replacement from {h: 1, l: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1787 times -100\nAnswer: -178700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52394439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49? (a) 2 (b) -0.09 (c) 1\/6 (d) -2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-62555)\/60*78\/8. Let l(q) = 101*q**2 + 6*q + 11. Let f be l(10). Let x = f + h. What is the common denominator of 23\/20 and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-649620363)\/(-120) + 6\/(-15). Let t = m - 5423382. Let w = t - -9867. Find the common denominator of -67\/2 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 8*w**2 - 24*w - 15. Let f be g(8). Let p = 4345\/21 + f. Sort p, 1.9, -3 in descending order.\nAnswer: 1.9, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92141473 divided by -5?\nAnswer: -92141473\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*j**3 + 2*j**3 - 181 + 84*j**4 - 122*j**4 wrt j.\nAnswer: -152*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.08 - 0.08. Suppose -156 = -21*d + 73*d. Which is the closest to j? (a) d (b) 2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 29*t**3 - 2*t**2 - 38*t + 1. Let r(n) = -85*n**3 + 6*n**2 + 114*n - 3. Let a(w) = -17*g(w) - 6*r(w). What is the second derivative of a(z) wrt z?\nAnswer: 102*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 + 31*b**3 + 3*b**3 + 3*b**3.\nAnswer: 34*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 90685741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (92\/46*(-1)\/54)\/(4\/(-8))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -1\/3*l**3 + 0 - 2*l + 0*l**2. Let k(r) = -17 - r**2 + 17. Determine k(v(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24844571.\nAnswer: 19, 269, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2510505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -13 + 21 + (0 - 2). Let v(d) = 35*d**2 - 29*d - 8. Does 22 divide v(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m - 17. Let o(u) = 2*u - 7. Let d be o(9). Let p be b(d). Find the third derivative of 13*i**p + 14*i**3 - 14*i**3 - 6*i**2 wrt i.\nAnswer: 780*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 + 2*w - 2. Let q(f) = -21*f**2 + 15*f - 15. Let a(r) = -45*i(r) + 6*q(r). Let h(s) = -2*s**2. Calculate h(a(m)).\nAnswer: -162*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119.21 - 0.3.\nAnswer: 118.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -37*p + 6. Let k(m) = -37*m + 7. Determine 7*b(r) - 6*k(r).\nAnswer: -37*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9959 + 179207\/18. Suppose 0*d - 5*d - 555 = 0. Find the common denominator of d\/5*(-25)\/110 and g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034820 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/264 and 27\/440.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000101110 (base 2) in base 9?\nAnswer: -10166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*h + 318 = 57*q - 83*h, 0 = -5*q + 15*h + 120 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 6*m + 91. Let k be -4 + 0 - m*-1. Let q = -4 + 7. What is the highest common factor of q and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 3*l**2 + l - 1. Let b be q(3). Suppose -5 = -b*t - 3*h + 15, -3*t - h = -30. What is the units digit of 6\/t - (-2)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from {r: 1, n: 4, i: 1, z: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4526 + -12.12?\nAnswer: -4538.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -100120111002?\nAnswer: 100120111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3030 + 1007 + 1010 - 5518*c + 1013 in the form v*c + b and give v.\nAnswer: -5518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 286575560?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -1\/4 (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -2*g**7\/105 + g**6\/30 + g**5\/3 + g**4\/2 - 2*g**2. Factor z(a).\nAnswer: -4*a*(a - 3)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 * 45323.871\nAnswer: -8158.29678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22211020 - -12020?\nAnswer: 100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 12 + 0)*(-14*y**2 + 29*y**2 + y - 18*y**2).\nAnswer: -60*y**2 + 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - (2 + (-18 - -6)). Let t = 2.4 + -0.4. Sort t, -1, h in decreasing order.\nAnswer: h, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8840 - -8908. Solve 39 = -81*o + h*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1705400 to the nearest ten thousand.\nAnswer: 1710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 50 = -5*c, 5 = -i + 2*c + 6. Let g be (-11)\/((0 + 4\/40)*2). Find the common denominator of g\/18 - (i + -1)\/(-6) and -49\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3\/7 + 266316*x**2\/7 - 4432896396*x\/7 + 4432630084\/7 = 0. Calculate x.\nAnswer: 1, 33289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1870272 divided by -8\nAnswer: -233784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {w: 5, j: 1, h: 11, p: 2}.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/13, -0.013, -149\/2, 4\/39?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -320*q**2 + 6*q - 3.\nAnswer: -640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*j = 3*j - 33*j - 2580 - 5476 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -146*o**2*v - 212*o**2*w - 4*o**2 - 3*o*v*w + 19*o*v - 6*o - 2*v*w + 1 wrt v?\nAnswer: -146*o**2 - 3*o*w + 19*o - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 720?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2*k\/k**(-2\/3)*k)\/(k\/k**(2\/11)*k\/((k*k**(-2\/9)*k)\/k)))\/((k**(-1\/4)\/k*k)**(-3\/4)\/(k\/(k\/k**(-2\/7)))**32) assuming k is positive.\nAnswer: k**(-63247\/11088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -26*q - 29, 2*q = 17*g - 22*g + 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*f**2 - f**2 + 2*f**3 + 6*f**2 + 4*f**3 in the form b*f**3 + o*f + d + j*f**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.45 - 21.45. Let y = -25 - g. Let i = -5.07 - -0.07. Which is the closest to -1? (a) i (b) y (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(13))**2 + -5 + (1 + sqrt(39)\/sqrt(3))**2 + sqrt(13).\nAnswer: 3*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/49)\/1)\/(174\/(-1421)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 - 1 + 1 + (-1 - 2 + 1)*(r**4 + 3*r**4 - 2*r**4) + r**3 - r**3 + 2*r**4 + 28*r**4 - 4 + 5 - 3.\nAnswer: 27*r**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5 = 7. Let p = c + -2. Is 209 - (-2)\/p*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1259975111 to the nearest integer?\nAnswer: 35496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12110020 - 10?\nAnswer: -12110030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -9*p**5\/2 + 69337*p**4 - 10656549*p**3\/2 + 11529062*p**2 - 2299650*p = 0.\nAnswer: 0, 2\/9, 2, 75, 15331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -3*4\/(-9). Factor 4\/3*t + 4\/3*t**3 + b + 1\/3*t**4 + 2*t**2.\nAnswer: (t + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22625881.\nAnswer: 1049, 21569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlt when three letters picked without replacement from {w: 5, f: 1, d: 3, q: 4, l: 5, t: 2}.\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 77088 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*b*d*t + 377*b*t + 108*d - 12*t wrt b.\nAnswer: -20*d*t + 377*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2397 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: Let m be 0 - 1 - (12 - 0). Let o be (4 - (-21)\/(-6))*-2. Let p = o - m. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 468979 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17455954?\nAnswer: 2, 257, 33961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(21)\/sqrt(3) - (-2 + sqrt(700))**2) + 6*(sqrt(7) + sqrt(77)\/(sqrt(11) - sqrt(11)*3))**2.\nAnswer: -1387\/2 + 41*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) + (-120)\/(-28). Suppose 3*q - 151 - 80 = 3*m, t*q - 292 = -4*m. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -100*y**3 + 8*y**2 + 2080?\nAnswer: -300*y**2 + 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*f**4*u**2 + 16*f**4*u - f**3*u**2 + f**2 + 2*f*u**2 - 87*f*u + 2 wrt f.\nAnswer: 600*f*u**2 + 384*f*u - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-1)\/2 + -2)*-1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393*j - 432*j + 390 = 0. Solve -j*p + 48 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223133, -446224, -669305, -892370, -1115413?\nAnswer: -1338428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44.5 - -28. Let s = 17 + k. Suppose 4*x + 3*p = -3 + 17, 2*p = -x + 1. Which is the third smallest value? (a) -1\/4 (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 8 = 2*n, -3*n + 2*l = -117 + 120 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146981?\nAnswer: 103, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -362411, -34 in increasing order.\nAnswer: -362411, -34, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, q: 2, e: 2, b: 1, c: 1, v: 1}. What is prob of sequence sv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**4 - 132*m**3 + 22*m**2 - 3*m + 708 wrt m?\nAnswer: -24*m**2 - 792*m + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkil when four letters picked without replacement from {q: 2, l: 1, i: 1, k: 7, u: 4, y: 4}?\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 13 + 4 = -3 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1794.\nAnswer: -5\/1794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (23 + -8)) + -13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 310*c - 140*c - 221*c**2 + 448*c)*(0 + 1 + 1)*(-1 + 3 - 4) to the form v*c + g + p*c**2 and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24030 - 7812. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354447 and 10926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350892914 a multiple of 1630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - 13. Let p be r(7). Solve 4*s - 4*y = p + 3, -5*s - y - 7 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 8 = -2*m, -2*v - 10*m - 22 = -6*m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y - 2. Let f be (-6)\/(-9)*((2 - -2) + -10). What is i(f)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 6*t - 35. Give s(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711508 divided by 58?\nAnswer: 1355754\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*d - 7*d + 12*d in the form u + r*d and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257 + -233. Calculate the least common multiple of 3 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550204256?\nAnswer: 2, 7, 41, 139, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -1321101?\nAnswer: 1321101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 635587515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t + 37*t = -7. Let p be -1 - (308\/(-245) + t\/(-7)). Which is the closest to 0? (a) 4 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -195*x**2 + 9*x.\nAnswer: -3*x*(65*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 46 + 0.2485007\nAnswer: 46.2485007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z\/z**(-5))\/z))**(4\/3)\/(z\/(z\/((z\/z**(1\/21))\/z)))**39 assuming z is positive.\nAnswer: z**(-101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6452*n - 3225*n - 3229*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b - 200bc?\nAnswer: -20071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 123 and 1072549.\nAnswer: 131923527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3626 and 2516?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-25))\/((-7)\/(-5))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 3*r - 6. Let x(p) = -7*p**2 + 1. Let k be x(-1). List the prime factors of m(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*t = -11 - 29, 5*v = -5*t - 55. Let q be ((-9)\/6)\/(v\/1472). Let l = -57 + q. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 405 and 412 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**3*x**3 - 56*l**3 + 21*l**2*x**3 + 3*l**2*x - x**2 wrt l.\nAnswer: 18*x**3 - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.603924, 3, -32?\nAnswer: 0.603924","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 1\/12*c**4 - c - 1\/30*c**5 - 1\/6*c**3 - 1\/120*c**6 + 60*c**2 + 0. Determine y(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*h**2 - 6*h**2 + 2*h + 7*h**2 wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 12:42 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfxxxgfxxxfgfxxfxfx. What is prob of picking 2 g and 2 x?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 64. Let a = -31 + z. Is 5\/3 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 53*x**2. Let o(z) = -8064*z**2. Give o(p(s)).\nAnswer: -22651776*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(2\/5))\/w*w*w*w\/((w\/w**(8\/7)*w*w*w)\/w))**(-5\/14) assuming w is positive.\nAnswer: w**(-89\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*x + 418370 - 2578 = -23*x. Is 35 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-17)\/(-85)*10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5 + 5*sqrt(1008)*-1)*3 - -4*(-5*(0 + sqrt(1008) + sqrt(1008)) + sqrt(1008) + 6*-2*sqrt(1008) + sqrt(1008) + sqrt(1008))).\nAnswer: -2184*sqrt(7) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127\/4 + 31. Let u(l) = -3*l**3 - 3*l**2 - l - 10. Let o be u(-2). Which is the smallest value? (a) -1\/8 (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a280a375 - 0?\nAnswer: a280a375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -67. Let t = 145\/4 + -36. Let k = 0.2 + -0.2. Which is the nearest to t? (a) k (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11357, -10498, -9067, -7064, -4489, -1342?\nAnswer: 2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-15)*((-3330)\/(-24))\/37.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/15 - (3\/(-3) + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -8. Let r(q) = 8*q**3 + 6*q**2 + 5*q + 6. Let f(u) be the second derivative of -u**5\/20 - u**4\/12 - u**3\/6 - u**2\/2 - u. Give k*r(p) + 6*f(p).\nAnswer: 2*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*f + 2*c, 2*c = 4*c - 6. Let k be f\/1*(-4)\/6. Let l be (-5)\/((-45)\/(-6))*k. Solve 0 = -0*u - 3*u + l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - 1 - (-4 + 18 + (18 - -6 - 10)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2. Let h(l) be the first derivative of -610*l**2 - 1129. Give h(u(v)).\nAnswer: -1220*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 140626.4 millennia?\nAnswer: 140626400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 3*c - 4. Let l(s) = s**2 + s - 1. Let t(j) = 6*j**2 - 4*j + 6. Let d(b) = -3*l(b) + t(b). What is 3*d(y) + 7*w(y)?\nAnswer: 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 11 = -11. Solve 5*c - d + 3*d + 7 = l, 5*c + 9 = -4*d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 + 95. What is the smallest value in 3, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89581588517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -979.\nAnswer: -19.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.079 and -0.27.\nAnswer: 0.02133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 4 + 0 - 5 + 5. Let q be d(9). Suppose -q*n = -2*n + 3. Sort n, -3, -4 in ascending order.\nAnswer: -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 871 + -1?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -905*u - 532 = -586 - 851 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 - 79*c**2 + 7*c - 7*c.\nAnswer: -79*c**2 - 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) 1 (b) 0 (c) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30915 and 72.\nAnswer: 247320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q**2 + 6*q - 6. Let z(v) = -9*v**2 + 5*v - 5. Let s(g) = 5*k(g) - 6*z(g). Let d(u) = -3*u. Calculate d(s(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 3)\/((-4)\/2). Suppose 5*c = -2*t + 4*c + 4, -4*t - 4*c + 16 = a. Suppose -4*l + 6*l - 16 = t. Calculate the highest common divisor of 32 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - o**2 + 10. Let i be a(0). Let l(c) = c**2 - 9*c. Let v be l(i). Suppose -s = -3*z + 73, 2*z - 28 - v = -2*s. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*g + 4*p - 7, 21 = -3*g - 4*p. Sort -2, g, 16, 3 in ascending order.\nAnswer: g, -2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -3*w + 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -129 + -20?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.7 and 58.\nAnswer: 62.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 76074*j - 304264.\nAnswer: -2*(j - 38033)*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**4\/2 + 198*z**3 - 7479*z**2\/2 - 883872*z - 2612736 = 0.\nAnswer: -96, -3, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 58239 (b) -9\/2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 50548664 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: Suppose -55 = -5*f + 4755. Suppose -j + 14*j = f. Calculate the remainder when j is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 21 = 3*x + 44, -16*d - 2*d - 92 = 5*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swwmt. Give prob of sequence mwt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 52.\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3))**48*((t*t**(2\/11))\/t)**(-1\/46) assuming t is positive.\nAnswer: t**(-8097\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -260\/3 + 86. Let m = 0.3 - 0.2. What is the second biggest value in 4\/5, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*v - j - 34, 5*j = -3*v - 27. Let t(k) = -k**3 - 3*k**2 + 2*k + 11. Is t(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20007075 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 1436672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35581 divided by 5083.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 0*h**2 - 2*h**3 + 0*h + 0*h**4 + 0*h**5 - 4 + 4\/3*h**6. What is the third derivative of j(r) wrt r?\nAnswer: 480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 2:47 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3641525980 to the nearest one million.\nAnswer: -3642000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 + (-42)\/8. Let n(f) = -f - 4. Suppose 5*g - 1 = 4*g. What is the remainder when n(z) is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.021439 and -6?\nAnswer: 0.128634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -1851.\nAnswer: -3702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 308 + -275. Solve x*s - 32*s - 4 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/24743 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51775058 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: What is the units digit of 41170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-64)\/(-3))\/4)\/(1202688\/(-10368))?\nAnswer: -4\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537 a factor of 31839350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + k + 2 = 13, 13 = 5*t + 3*k. Suppose -t*l = 3*l - 48. Suppose -c = l*c - 1176. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 11, -25?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3, -52680, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8874 - 8875. Sort r, 65, 1\/2, -4, 0 in decreasing order.\nAnswer: 65, 1\/2, 0, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -958 = -2*s - 5*t, -3*s + 4*t - 263 = -1746. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4279559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b + 9. Let h(l) = -13*l - 28. Let z(a) = 7*d(a) + 2*h(a). What is z(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 14*l**2 - l - 3. Let y be c(-14). Suppose v - 1 - y = 0. Let d = -7 + v. Solve 0 = d*w - 3*w + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -2 (b) -1\/6 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 9*i + 6*i)*(-4544 + 117*i**4 + 4544) - 3*i**4 + i**5 + i**4 + i**4.\nAnswer: 352*i**5 - i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 9*r. Let g be u(9). Let p(n) = g*n + 3 - 5*n + 5*n - 5*n. Is 11 a factor of p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 + (-34)\/4. Let k be (-38)\/a - 2\/9. Suppose y - k*y = 0. What is y rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**4 + f**2 + f - 1. Let i(h) = -5*h**4 - 30*h**3 - 2*h**2 + 2*h - 2633. Let r(b) = i(b) - 2*l(b). What is the derivative of r(n) wrt n?\nAnswer: -4*n**3 - 90*n**2 - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-2) + (-7424)\/3828 + (-4 - -1)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/(-161))\/((-34)\/34).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134370 is divided by 509?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 - x**3 + 5*x**3)*(268 + 1017 + 232).\nAnswer: 1517*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-4))\/((-15)\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45\/74 or 0?\nAnswer: 45\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*u = -4*a - 357*u + 4, -32*a = -5*u + 84 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 12. Let u(m) = 3*m + 37. Calculate -8*p(t) + 3*u(t).\nAnswer: t + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 296579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119641281 + -0.043.\nAnswer: -119641281.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 35, 40, 45, 50?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170\/8160*-128*1\/140.\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*o**5 + o**4 - 1641469*o**3 - 8*o**2 - 205*o + 20362 wrt o?\nAnswer: -540*o**2 + 24*o - 9848814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, 4, -2, -47, 5, -4 in increasing order.\nAnswer: -189, -47, -4, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11*b - 18. What is the units digit of k(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((-5*sqrt(440) + sqrt(440))*-1)\/sqrt(8))\/(sqrt(5)*2*-3 - (sqrt(125) - (sqrt(125)*-1 + sqrt(125)))) + -5.\nAnswer: -8 - 4*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -5 (b) -0.4 (c) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 18, j: 2}. Give prob of sequence ju.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/3 - 9520*l**3\/3 + 7971776*l**2 - 5986785280*l\/3 + 395469930496\/3.\nAnswer: (l - 4624)**2*(l - 136)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -30*y**5 - 244*y + 190. Find the first derivative of v(m) wrt m.\nAnswer: -600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161 + -163. Calculate the lowest common multiple of (4 - h) + (-96)\/(-2) and 16.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 14*p**2 + 4*p + 5. Let n be g(-14). Let u = n - -51. Suppose 296 = 4*t - 4*w, 2*t - 3*w - w - 152 = u. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85088, -170175, -255262?\nAnswer: -340349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 1 + 2 - 3 - 6*c - 5. What is the units digit of f(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -34. Calculate the least common multiple of 6\/(-5)*(0 - (-30)\/(-9)) and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 10*w**2 + 455*w - 440.\nAnswer: -5*(w - 8)*(w - 1)*(w + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 326\/8 - 1\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03718307 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 395375, 790749, 1186121, 1581491?\n\"Answer: -u**2 + 395377*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110010000110010 (base 2) to base 12.\nAnswer: 103702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 550\/287?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224432160.\nAnswer: 2, 3, 5, 23, 29, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/4 and -57\/92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 66*o. Suppose -12 = -2*j + 3*m + 11, -4*m = 5*j. Let f(d) = j*d - 4*d - 19426*d**2 + 19424*d**2. Give h(f(u)).\nAnswer: -132*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q**3 - 4*q**2 + q + 2. Let p(w) = -w**3 - w**2. What is f(s) - 4*p(s)?\nAnswer: -s**3 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/(-306)*-3)\/(6\/(-8))?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -21 + -8 + 62 - 55?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 277*o + 7171. Determine r(-26).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30, -114, -260, -474, -762, -1130, -1584, -2130?\n\"Answer: -o**3 - 25*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19963825 to 4 dps.\nAnswer: -0.1996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -31310 + (-8)\/4 + 0. Is 1\/(-3 - l\/10436) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21939160 to the power of 1\/2, to the nearest integer?\nAnswer: 4684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**5 - 2*q**4 - 1498201*q**3 - 28229785*q?\nAnswer: -40*q**3 - 24*q**2 - 8989206*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 3.1. Let p = -16 + 20. Let i = 2726\/3 - 909. What is the closest to i in j, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41698 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + s + s)*(3*s - s + 0*s)*(-1 + 4 + 7).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5 (b) -0.07 (c) -4\/5 (d) -0.292 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101011011101000 (base 2) in base 3?\nAnswer: -100110021011","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 21 = -3*t, -2*d - 518*t - 515*t = -1548*t + 516*t + 16 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**12\/g))\/(g*g**(-16)))\/(g**14)**(-10\/9) assuming g is positive.\nAnswer: g**(185\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 10:20 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-15))\/((-1)\/(-9)). Suppose -2*b - h - 1 = 0. Does 11 divide 53\/5 + b\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 487*u - 604. What is the units digit of l(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1584, 156, -2224, -5556, -9840, -15076?\nAnswer: -21264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.4\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 97481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(3*(-3)\/50265). Let p be g - ((-16)\/4 + 1). Let r = p + -3151. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q**2 + 14*q - 27. Let s(l) = -l**2 - l. Let p(i) = d(i) - 4*s(i). Suppose p(y) = 0. Calculate y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 740, 3\/5, -12, 4, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -22*p**2 - p. Let o be b(-1). Let z = o + 18. Let j be ((-1)\/z)\/((-9)\/(-405)). What is the highest common divisor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 212\/4273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299292835.\nAnswer: 5, 59858567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 5 + 5 + (0 - 1 + 2)*(5*a - 3*a - 3*a) + 252*a - 48*a + 79*a.\nAnswer: 284*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 4:22 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52057 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-4))\/((-21)\/(-14)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (49 - -1) + (27389 - 27549)\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s**4 - 76*s**2 + 76*s**2)*(-3*s + 3*s + 3*s).\nAnswer: -21*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 4*h**2 - 3. Let v be a(-4). Let y(d) = -2210*d**2 + 2214*d**2 + 0*d + d**3 + 2*d. Determine y(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634 at most as big as 658327\/250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1 + (-1 + 1 + 2)*(5 - 3 + 0) + 563 + 941 - 37)*(-7 + 7 - 2*m)*(2*m + 0*m - 3*m).\nAnswer: 2940*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 2*r - 2 = -5*d, -r + 8 = 2*d. Suppose d*p + 26 - 44 = 0. Solve -5*n - 8 + p = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/11 + 25626*f**3\/11 + 51230*f**2\/11 - 179346*f\/11 + 102488\/11 = 0. Calculate f.\nAnswer: -12811, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4 + 350*d**3 - 1773*d**2 + 718*d + 2840 = 0. Calculate d.\nAnswer: -355, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**8\/11200 + g**7\/4200 - g**6\/1200 - g**5\/200 + 5*g**4\/12 + 11*g. Let c(h) be the third derivative of k(h). Factor c(s).\nAnswer: 3*(s - 1)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111096 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1791.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*v = -12*v + 24*v - 365*v + 11025 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26842, -26655, -26378, -26005, -25530?\nAnswer: -24947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4658, 9325, 13994, 18665?\n\"Answer: q**2 + 4664*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - -0.12. Let s = -0.12 + u. Let n be (-112)\/(-105) + 8\/(-120). Which is the closest to n? (a) -1\/2 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 23. Let t be d(18). Let k(h) = -t + h + 10 - 1. What is the units digit of k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-657)\/(-584)*2\/(-6)*-1.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2045?\nAnswer: 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8246600 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**4 + 12602*l**3 - 99*l**2 + 19111*l - 359?\nAnswer: -12*l**2 + 75612*l - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + (0 + sqrt(17) - sqrt(17)) + sqrt(17)) + 5*2*sqrt(1377))**2.\nAnswer: -2790*sqrt(17) + 147258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 459703655?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2405.942 tonnes in nanograms?\nAnswer: 2405942000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578457 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 q be 13824\/70 - 3\/15. Let v = q + -197. Which is the closest to 0.2? (a) 1 (b) -1\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g = 5*g + 4730. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**6\/27 + x**4\/6 - 4*x**3\/27 - 20. Determine u, given that w(u) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -12*q - 2. Let w be k(4). Suppose -4*u + 199 = -105. Let z = u + w. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -51 and -68100404.\nAnswer: -68100455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.23 (b) -0.154854 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 9 - 10, d = -n + 6. Solve m = -6*l + 2*l, 3*m - 7 = -d*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8250, 8073, 7898, 7725?\n\"Answer: c**2 - 180*c + 8429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.48 + -188.48. Let f = 186.87 + n. Let d = f + -1.8. Round d to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535069308.\nAnswer: 2, 3, 61, 730969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 861108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(20\/9)\/h)\/h**(-1\/10))\/(h*h**(16\/3)*h**(-26)) assuming h is positive.\nAnswer: h**(1979\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let h be q(3). Let b = -6.1 - -8.1. Put b, h, -0.2 in ascending order.\nAnswer: h, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h - 16 = -26*h. Which is the second smallest value? (a) h (b) -3 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6897*r**4 + 2351*r**2 + 2*r wrt r?\nAnswer: 165528*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -212.51 and 11.\nAnswer: -201.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.2. Let z = -0.212 + 2.212. Put l, 0.3, z in increasing order.\nAnswer: l, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1226148 (base 10) to base 2.\nAnswer: -100101011010110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104*(-72)\/(-168)*56\/48.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 2*i - 1. Let h(n) = 147*n**2 - 7*n - 3. What is 2*h(v) - 6*q(v)?\nAnswer: 306*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**6\/180 + 27*d**4\/2 - 30*d**3 - 89. Let s(b) be the third derivative of l(b). Let i(y) = -2*y. What is s(i(g))?\nAnswer: 8*g**2 + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 6*k - 15*k - 943*k**3 + 5*k.\nAnswer: -943*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and 0.08.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1781)\/195 - -9 - ((-3085)\/75 + 31 + -21)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -773 + 718. Let u = n + 54.97935. What is u rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 15. Solve f*r = -3*s - 21, -r = -5*s + 2*r - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -916 + 3*r + 3*r**3 + 4*r**3 - 5*r**3 - 2*r.\nAnswer: 2*r**3 + r - 916","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -190, -300, -412, -526?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 4*y**2 + 3*y**2)*(0*y**3 + 3*y**3 - 2*y**3) + (-2*y**2 - 4*y**2 + 4*y**2)*(-15*y**3 + 0*y**3 + 5*y**3).\nAnswer: 22*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n - 12*n - 7 + 12*n + 15 - 2*n.\nAnswer: -15*n + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17\/3? (a) 2174 (b) -51 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1204*m + 1205*m + 4. Sort 3, m, 2, 63 in increasing order.\nAnswer: m, 2, 3, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1695 and 1170?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-15)\/21 - (-90)\/70.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 9 - ((7 - 77) + 16)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d - 7. Let a be l(-5). Suppose 0*z - a*z = -48. Let k be (3 - 4) + -2 + 11. Calculate the highest common factor of k and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -5, -0.4, 0.1, 230, -6 in ascending order.\nAnswer: -6, -5, -0.4, 0.1, 1\/2, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b - 2754 + 2754.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 17*p**3 + 4*p**2 - 14*p + 8. Let o be b(5). Suppose -2*l - 2*c + 1230 + 212 = 0, 3*l + 2*c = o. List the prime factors of l.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -14 and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**8*c**(2\/25)*c\/(c**(3\/7)*c)*c*c\/c**(-1\/2) assuming c is positive.\nAnswer: c**(3903\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 45 = 3*q, 2*y + 0*y - 3*q = 18. Solve -5*o = -5*r - 35, 0 = -o - 5*r - 14 - y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/33801 + 2129423\/676020. Let k = 9\/190 - -7677\/380. Find the common denominator of j and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7895 and -237.\nAnswer: -1871115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1\/2, -0.3, -146?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 148289897 a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 = -29*p + 33*p. Solve 0 = -3*x - 97 + p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97 or -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(-150)*15\/21.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -2 (b) -0.05 (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z. Suppose -4*a - 2*r = -26, -4*a - r = -26 - 1. Let m(d) = -d**2 + 6*d + 7. Let o be m(a). Let w(y) = -3 + o*y + 3*y + 3. Give j(w(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(8\/3)*s**(-10) assuming s is positive.\nAnswer: s**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20319\/5 + -4063. Find y such that -h*y**2 + 0 + 2\/5*y**3 + 2\/5*y = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3686 + 12023 = 693*c - 10374 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 283 = -100*d + 92. Let j(w) be the second derivative of 5*w**d + 7\/2*w**2 + 0 + 11*w. Differentiate j(k) with respect to k.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 321*r**4 - 107*r**4 - 49*r**3 - 102*r**4 - 110*r**4 - r**2 + 3 to the form n*r**2 + l*r**3 + m + a*r**4 + w*r and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 3*j + 0*j)*(1 - 2 + 0) + (-2*j - 2 + 2)*(4 - 2 + 0).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 446970361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 - 115. Let l be ((-5)\/25)\/b*0. Solve c = -l*a - 2*a + 12, a = -4*c + 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -560827, 0.4, 0, -2\/3?\nAnswer: -560827","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4302 divided by -717.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -1 + 3 + 2. Let o = z - 2. Solve 6*c = o*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*n, 3*q - 2*q = -4*n - 572. Round q to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 6 = -4*f. Suppose -f*c + 40 = -32. Suppose -8*d + c = -4*d. Let i(b) = b**3 - 6*b**2 + 3*b + 2. What is i(d)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from hampmmphmshhshmh?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t**3 + 6*t - 14. Suppose 21*i + 2*k + 16 = 17*i, -3*k = 3*i + 9. Let o(a) = -a**3 - 2. Let c(w) = i*o(w) + f(w). Suppose c(n) = 0. Calculate n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + r = -2*s - 1344996, 2*s + 4*r - 538016 = 0. What is s rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -62*f**3 + 4*f**2 - 6*f - 3. Let q(c) = -125*c**3 + 7*c**2 - 11*c - 5. Give -4*q(a) + 7*r(a).\nAnswer: 66*a**3 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 7*p**2 + 2. Let g be k(-7). Suppose 2*i + g*j + 2 + 16 = 0, -5*j = -4*i. Let m(u) = 2*u - 5. Determine m(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**6\/6 - 761*k**4\/4 - 182*k**3 - 2131. What is the third derivative of f(t) wrt t?\nAnswer: 60*t**2 - 4566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 24 = -f, -w + 0*w = -2*f + 1. Suppose -147 = -w*m + 7. Calculate the least common multiple of m and 70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 82 - 2*m**3 + 49 + 4*m**2 - m**4 - 8*m to the form y*m**4 + r + d*m + w*m**2 + s*m**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 6\/5*z + 2\/5*z**4 + 14\/5*z**2 + 2*z**3 = 0 for z.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -334, -333, -344, -373, -426?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1165*s + 564*s = -562*s + 429 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a + 178. What is s(-8)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 17*p**2 - 9*p - 23. What are the prime factors of y(-11)?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1951?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 90, 178, 266, 354?\n\"Answer: 88*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1265 + -1270. Which is the second biggest value? (a) 5 (b) 0.5 (c) 12 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 12 = -8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*b*c + 65*b + 2*c with respect to c.\nAnswer: 70*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 162, 229, 280, 309?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1171 is divided by 78.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -786 divided by 262?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/12)\/((-12)\/(-126)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 17*o**2 - 47*o + 50. Calculate x(14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 3*y - 4. Give k(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 + 90.367\nAnswer: 90.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -16*p + 15. Solve 4*l - y + 16 = 0, 2*y + 12 = -p*l - 2*y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4433 and 1829.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6\/149 - -388\/2235. Let y(m) be the first derivative of 3 + 1\/5*m**4 + 0*m**2 + o*m**3 + 2\/25*m**5 + 0*m. Factor y(j).\nAnswer: 2*j**2*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1388 = -7*b + 698. Let d be 4\/(-3 + -1) - (1 - b). Suppose 4*u = g - 112, -3*g + u = -u - d. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = b - 13, -3 = 5*b + 5*f + 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7794560134 to five decimal places.\nAnswer: 0.77946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 4:14 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. Let j be 40\/1 - (4 + -4). Suppose -2*m = -t*m + j. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 7, u: 5, i: 1, q: 3}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**4\/7 + 8*p**3\/7 - 22*p**2\/7 + 24*p\/7 + 15. Factor k(t).\nAnswer: -4*(t - 3)*(t - 2)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 5*n**3 - 20 - 18*n**2 - 56*n - 10*n**2 + 16*n.\nAnswer: -5*(n + 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/70229229 and 64\/9723.\nAnswer: 70229229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -186*s**2 + 7524075*s\/4 - 30339\/4.\nAnswer: -3*(s - 10113)*(248*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 126, 124, 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -272684668*z**2 + 3*z - 33921559 wrt z?\nAnswer: -545369336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3 = 3*l, -3*l + 5*g = 10 - 13. Solve -7 + l = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 32 = 5*s - 33, -49545*w + 49544*w = 16*s - 178 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**5 - 6*z**4 + 4*z**3 + 2*z**2 - 2*z + 2. Let w(t) = -10*t**5 - 13*t**4 + 7*t**3 + 5*t**2 - 5*t + 5. Let i(q) = 10*s(q) - 4*w(q). Factor i(c).\nAnswer: -4*c**3*(c + 1)*(5*c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*h**3 - h**3 - 22*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/52)\/((-11)\/44)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 335 - -2124. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*q**2 + 110*q**2 + 15 - 58*q**2 in the form t + c*q + i*q**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 1 - (-2 + -2)) + 54 + -57.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.085? (a) 1 (b) 318 (c) -2\/5 (d) 2 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26142241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(7\/21*-27 + 8) + 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 17. Let k be (0 - 20)\/((-6)\/12). Suppose 12*q = 11*q + k. Let l = q + -40. Determine x(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v = 1006*p - 1006*p - 171, 3*p - 3*v = -0*v + 36 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111100001 - 100?\nAnswer: 11111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (24\/84)\/(8\/14)*5\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 273405257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 1:35 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 - 9*t**2 + 8*t + 4. Let b(y) = y**2 - y - 1. Determine -6*b(r) - z(r).\nAnswer: -2*r**3 + 3*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 13*z - 54. Give n(-10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 1, -1519\/13 in ascending order.\nAnswer: -1519\/13, -0.7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -218 - -226 - (-1 - -5 - (-56 + 18))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 19*b - 6. Let w be a(10). Suppose 3*v + k = 2*v + 13452, 2*v - 26906 = -w*k. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2001260 and 3760.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = 4*i, 0 = -2*h - 3*h - i + 105. Suppose -6*n + 58 = -4*d - 5*n, 4*n - h = 2*d. Put -5, -2, d in ascending order.\nAnswer: d, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 4*l - 10. Let h be t(6). Suppose 10*g - 16*g + 18 = 0. Solve -29 = g*f + 5*w, -f - h*w = 2*w + 19 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 3. Let k be 4\/h + 52 + 1. Let v be (-17)\/k*(1 + -34). What is the highest common factor of v and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + 0 + sqrt(10)\/(-1*sqrt(2)) + -4 + 3)**2.\nAnswer: -32*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -44. Factor 59*u + 5*u**3 - 125 + 26*u - a*u + 45*u**2.\nAnswer: 5*(u - 1)*(u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 2:21 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25741790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 11. Let q be b(-7). Suppose 0 = 5*z - q*z - 16. Let w be 20\/16 - 2\/z. Let k(n) = 2*n**2 + n. Determine k(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -9, 2.39, -111?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from sxyzyxxyys?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 16 = -3*k. Let x be (6\/24)\/(2\/k). Solve o + 0*o = x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3950913625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from kttxktkkmkkmmkkkmxmk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1536)\/102)\/8 + 36\/(-306)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6577 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u**4 - 2*u**3 - u**2 - 54*u - 1. Let b(a) = -7*a**4 + 3*a**3 + 53*a + 1. Let r(o) = 4*b(o) + 6*l(o). What is the second derivative of r(z) wrt z?\nAnswer: 240*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4133 + -203?\nAnswer: -4340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 5*f - 14 = 0, 3*t = 29*f - 32*f + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/14 + 10498\/(-12670).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 60.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3196\/10 + 12\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(72) + -2 + sqrt(72))*-5)**2.\nAnswer: -600*sqrt(2) + 7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 13 + 11 - 6*k**2 + 14.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 4*z + 2*z)*(z**2 - 5*z**2 + 3*z**2) - 74*z**2 - 69*z**2 + 145*z**2 - 64*z**3 to a*z**3 + s*z + k + x*z**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -33 (b) -0.7 (c) 2 (d) 0 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/60715 + 2737151\/75529460. What is the common denominator of 19\/20 and s?\nAnswer: 6220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5642 (base 13) to base 16.\nAnswer: -2f15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 9. Let y be t(-6). Let z = 609 - 9103\/15. Is y greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/38 and (14\/10)\/((-39)\/(-520)*-2).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k + 90 = -5*l, k - 3*l = 26. Suppose -2*i + i = -r, -2*r + k = 5*i. Suppose -16 = -2*z + 4*b + 2, i*z - 17 = -4*b. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 461043, 922086, 1383125, 1844160?\nAnswer: 2305191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 35. Let r be u(6). Is (r + 4 - -4489) + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99604*a**4 + 4*a**3 - 2*a**2 + 4593718*a?\nAnswer: -1195248*a**2 + 24*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238711267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - -11 - 9 - 2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 8:45 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -12. Which is the third biggest value? (a) x (b) 11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (8\/48 + (-50)\/12). What is the common denominator of 103\/18 and s\/10 - 14943\/3570?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3260 a factor of 110880954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*-1)\/sqrt(10)*-2.\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*c + c. Suppose 3*x - 4*x + 5*z = -61, 0 = c*x - 4*z - 128. Suppose 6*l - 72 = -0*l. What is the greatest common divisor of x and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*u = -16, -3*z + 0*u = 2*u - 7. Suppose 224 - 48 = 22*p. Calculate the remainder when p is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*x**2 - 1\/4*x**3 + 2 + x = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r**(-24)))\/((r**7*r)\/r))\/((r*r**15)\/(r**(-10\/9)*r)) assuming r is positive.\nAnswer: r**(17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (19 - (23 + -10) - (13 - 5 - -5)) + 123\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59 + -7?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*((sqrt(378)*3 - sqrt(378))*2)\/(3*sqrt(486)).\nAnswer: 16*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148365?\nAnswer: 3, 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1098 rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1 (c) 5 (d) -2\/11 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -14*a**5 + 234*a**4 + 614*a**3 - 82*a**2 - 600*a - 152 = 0.\nAnswer: -2, -1, -2\/7, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77770110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -6) + 3 + (8 + -6 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81505561927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*a**2 - 90*a**2 + 41*a**2 + 34*a**2 - 1 to the form h + d*a**2 + l*a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4584 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 9*d + 60. Let u be m(13). List the prime factors of (-286)\/(-4) + (-2)\/u*2.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.09 and -10098.2.\nAnswer: -10098.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4be - -4261?\nAnswer: 3c92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 22 = 5*q, 3*q + 11*h - 14*h + 6 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-5)*(1 + 4). Suppose 0 = -5*b - z + 43, -6*z + i*z = -b + 2. Let s = b - -3. Calculate the smallest common multiple of s and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*k - 0*k + 10, -f = -2*k + 5. Let l(m) = 40*m**3 + m**2 - 4*m + 5. Give l(f).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 5*u + 12. What is k(-5)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 60 = -588. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/4 - 16\/64. Let w(z) = -z**3 - 5*z**2 - 2*z - 6. Determine w(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23870369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**4 - 4*h**4 - h**4)*(3 + 3 - 3) + (1 - 1 - 2)*(5*h**2 - h**4 - 5*h**2).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56*((156\/42 - 3) + 1\/7). Let u(l) = -l**2 - 5*l - 3. Let w be u(-5). Let m = k - w. What is the remainder when m is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 56323.07 kilograms?\nAnswer: 56.32307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17951*d**2 - 3 + 15414*d**2 + 3.\nAnswer: 33365*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21653 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kccvvcckk. What is prob of sequence kc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.08 - -8.28. Put h, 0.094, -0.5 in ascending order.\nAnswer: -0.5, 0.094, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(648)*2 - (sqrt(112)\/sqrt(200))\/(sqrt(7) + (sqrt(175)*6 - sqrt(7))))*-2.\nAnswer: 21601*sqrt(2)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*k - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h + 134. Let t be o(-15). Which is bigger: -1\/122 or t?\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 27 + -136 - ((-6 - (-6 - -3)) + 12).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1785 - 1790. Let b = -1.898 + -0.112. Let d = -0.01 - b. Is y bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5089 - 3476. Find the third derivative of a*y**5 - 29*y**6 - 9 + y**2 - 1713*y**5 wrt y.\nAnswer: -3480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 24\/(-20)*(8 + -33).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s + 13 = 0. Calculate the remainder when s is divided by (-10)\/(-7)*7\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3))**(-6\/19)\/(s\/s**(1\/3))**(-21) assuming s is positive.\nAnswer: s**(264\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 103. Let w = -0.5 + 0.3. Which is the second biggest value? (a) -0.1 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*y**4 + 22*y**3 - 18*y**2 + 2*y wrt y.\nAnswer: -288*y + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - 47. What are the prime factors of (m\/12)\/(2\/388)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 30 = -5*k, -2*k - 5*d - 30 = 3*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + ((5 - 2) + -7 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/9 - (0 - -1). Let q = 8.01 - 0.01. Let s = q + -8. Which is the nearest to s? (a) z (b) -1 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 8. Let p = -5 - -10. Suppose j - 5*j = 3*n + 28, 2*j - 4*n - 8 = 0. Put j, k, p in increasing order.\nAnswer: j, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*a = 23*a + 7*a - 624 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 25. Suppose 4*d - 2*z + 4 = 0, -12 = -d - 4*z - 4. Calculate the remainder when c(d) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 2. Let q be a(0). Let i be (-4)\/(-2 + 1) - q. Suppose 32 = i*d - 38. What is the remainder when d is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-10) - (-27)\/180. Which is the third smallest value? (a) 0.4 (b) m (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 23*f**2 - 21*f - 41. Suppose 17*b = -2*a + 13*b - 58, b - 29 = a. Let c be i(a). Round c to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 43\/129 - (1 - (-22)\/(-6)). Suppose -21262072 - 48183071 = -k*o. Let m = -7751619 - o. What is m rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -v - 5, -9*v - 13 = -10*y + 12*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0 + 1\/3*o**4 - 1\/30*o**6 + 1\/105*o**7 + 0*o + 19*o**2 + 4\/3*o**3 - 1\/10*o**5. Factor s(m).\nAnswer: 2*(m - 2)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.24 > 446637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(343) - (0 + sqrt(7) + -1).\nAnswer: 1 + 34*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9115137*b**3 + 9115132*b**3 - 107 + b**2 + 43*b - 475*b**4 + 0*b**2 wrt b.\nAnswer: -5700*b**2 - 30*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15560617 and 15560618 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -163030, -163036, -163052, -163084, -163138, -163220?\n\"Answer: -f**3 + f**2 - 2*f - 163028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-578)\/240 + (-3)\/18 and (1\/(-3))\/(38\/(-133)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 211915268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -9 (b) 4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 7.803370398.\nAnswer: -3.803370398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(11) + (sqrt(1331) + 3)**2.\nAnswer: 67*sqrt(11) + 1343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123424113 (base 5) to base 16.\nAnswer: 94721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 - 95*k**2 + 58*k - 92. Determine a(-48).\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73828*z + 147662*z - 73822*z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11791136 and 336?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - 3. Let f = d - -17. What is the third derivative of f + 6*p**6 + p**6 - 4 + 7*p**2 wrt p?\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87170 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000539124013 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 9*l**2 + 6. Let v = 32 + -23. Let a be g(v). What is the units digit of (a\/(-5))\/((-4)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438480 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**3 + k**2 + k - 1. Let w be t(1). Find the second derivative of -123*z - 13*z**w + 33*z - 20*z**5 wrt z.\nAnswer: -660*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -22*i**6\/5 + i**5\/10 - 359*i**3\/6 - 3*i**2\/2 - 9*i - 166. Find the second derivative of l(x) wrt x.\nAnswer: -1584*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 867343*b**2*h**3 + 82076*b*h**3 + 7*b*h wrt b?\nAnswer: 1734686*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.057507 or -0.0823?\nAnswer: -0.0823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 462, 1011, 1560, 2109, 2658, 3207?\n\"Answer: 549*l - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/12*-1*12. Let o(m) be the third derivative of m**5\/60 - m**4\/24 - m**3\/6 + m**2. List the prime factors of o(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 16*c**2 - 46*c + 365. What is n(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -5, 3, -295 in descending order.\nAnswer: 3, 4\/3, -5, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -120418 in increasing order.\nAnswer: -120418, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**2)**46*(c*c\/(c**(-2\/7)*c))**(12\/11)*c**8\/c*c*c*c**(-2\/11)*(c**2*c)**(9\/10) assuming c is positive.\nAnswer: c**(-25471\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190548910 or -190548912?\nAnswer: -190548912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181324?\nAnswer: 2, 11, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1200)\/1773 - (-4)\/6. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247772?\nAnswer: 2, 7, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + (-1)\/32*69 and 71\/22.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2943244.2 microseconds in minutes?\nAnswer: 0.04905407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 + -1791\/13. Which is the nearest to r? (a) 0.3 (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2 - 2*b - 2. Let x(f) = -f**2 - f - 1. Suppose 5*d - 4 + 14 = 0. Let q(k) = d*x(k) + z(k). Let o(g) = 3*g. Calculate q(o(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00084787 to 6 decimal places.\nAnswer: -0.000848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + 0.658.\nAnswer: -5.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 838386354 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36249\/4 - 8860. Let g = 200 - x. What is the nearest to 2\/5 in -3, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/(-45))\/((-2)\/5). What is the tens digit of 9\/n*(15 - 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42920578 to the power of 1\/2, to the nearest integer?\nAnswer: 6551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2857*l - 98 = 2830*l - 557 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 182733797 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6591 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: Is -427 smaller than 18.62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 8*w + 7. Let i be h(-7). Let x be 90\/21 - 4\/i. Let j be ((-6)\/(2\/1))\/(-1). Sort -4, x, j.\nAnswer: -4, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-12)*-6 + 0. Let p be (-90)\/(-40) - (-1)\/l. Suppose 4*f - 4 = 0, -3*m - 3*f - f + 4 = 0. Solve p*x = -m*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(7\/4)*u*u**(1\/9)\/u)\/(((u**(-3\/14)*u)\/u)\/u**2) assuming u is positive.\nAnswer: u**(1027\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 181*i - 623. What is the units digit of s(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271414680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-732)\/(-854))\/((-87)\/(-7))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzzxxtxxxmtxtzxxx. What is prob of sequence zztm?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16004638 is divided by 794?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 3*j + 58 - 58. Let c be m(2). Suppose 0 = -5*z - p + 11, 28*p - 29*p - 1 = -z. What is the nearest to -2 in 4, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43b + -3?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 22792 = 4*t - 5*g, -4*g + 28588 = 5*t. Calculate the smallest common multiple of t and 1272.\nAnswer: 11448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.937 + -5.937. Put -2\/7, 2\/3, q, -4 in increasing order.\nAnswer: q, -4, -2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328748 is divided by 1777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -4*d - 3*n, -n - 10 = n. Suppose 13*w = d + 10. Let h(b) = b**2 - b + 1. Let g be h(2). Solve -2*i = z + g, -2*z - w*i = -5*z - 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:34 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 8:02 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89376735*j**3*q**2 - j**3 - 176404*j**2*q**2 - 3*j*q**2 + 72*q wrt j?\nAnswer: 536260410*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 7*g + 1. Let q be s(7). What is the closest to 2\/7 in q, 2\/21, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s + 126 = 2*s + 8*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -39 + (-7 - -36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1745249)\/(-77) - ((-2)\/6)\/(14\/18)?\nAnswer: 2, 7, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 0 (c) 0.4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*r**2 + 74*r**2 + 32*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**5 - 90*h**4 - 198*h**3 + 458*h**2 + 564*h = 0.\nAnswer: -3, -1, 0, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/68? (a) 3\/4 (b) 1\/5 (c) -203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t + 168564 = -11*t. Let f = t - 3516. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**5\/60 - 7*i**3\/6 + 7*i. Let m(u) be the second derivative of k(u). Let j(o) = -12*o**2. Determine m(j(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1198280816 by -827542.\nAnswer: -1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-15))\/(2\/(-6)). Let j = s + 1. Which is the closest to -0.04? (a) -2 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = 3*x. Suppose -5*k - 2*v = -42 - 6, -k + 14 = -4*v. Let t be (-2)\/(-4) - k\/x. Solve 5*f = -5, 7 = -5*l - 4*f + t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 9295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5 - 235*d**4 - 225*d**3 + 2095*d**2 - 2570*d + 936 = 0.\nAnswer: -234, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103922 and 2184.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17374208 (base 9) to base 12\nAnswer: 2b0b768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/45 and 88\/6844245.\nAnswer: 20532735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*(-8)\/168)\/(2 + (-23)\/9).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - 14*h - 55. Let f be (-6)\/16 - 4150\/(-400). Let r be n(f). Calculate the greatest common divisor of 80 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -1, 1\/9, 3848?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - 49. Suppose 3*k - 377 + q = 0. Let u = 224 - k. What are the prime factors of u?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4 = -4*p - 10, -15 = -2*h - 3*p. Let u = 22 + -6. What is the lowest common multiple of u and 40\/50*(h + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*f**3 - 5376 + 800*f - 64\/3*f**2.\nAnswer: -2*(f - 12)**2*(f + 56)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015835 rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 194257825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (235130\/53725)\/((-2)\/(-10)*12). Let r = h - -3\/307. Find the common denominator of r and -61\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1479, -2099, -2717, -3333, -3947, -4559, -5169?\nAnswer: -5777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 26 = -2*y + 8*d - 15, -7 = 214*d - 215*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjljjjljjlllljl.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**4*b))\/(b**(-5)\/b))\/(b**(-3))**(1\/24) assuming b is positive.\nAnswer: b**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - (75 + -6)) + 45?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-26) - 10\/(-65). Suppose -i = -3*i. Let t(c) = c**3 + 4*c**2 - c - 2. Let l be t(-4). Sort n, i, l in ascending order.\nAnswer: i, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 191 = -474. Let s = m + 85. Let i = s + 51. Solve 3*j + 5*f = 8, -2 = 3*j - 2*j - i*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 12:55 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 49*((-9171)\/(-4587) + -2). Let m = 2033\/834 - r. Let n = m + 1\/33. Find the common denominator of 62\/5 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 13885*u**2 + 27785*u - 13895.\nAnswer: -5*(u - 1)**2*(u + 2779)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -25. Suppose 87 - n = 5*j. Let u(m) = -3*m**2 + 6 - 5*m - 4*m - j*m**2 - 5*m. Let v(f) = 7*f**2 + 5*f - 2. Calculate 5*u(x) + 14*v(x).\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 5730\/115241 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.607006 nanoseconds to milliseconds.\nAnswer: 0.000007607006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3479445 to the nearest integer?\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by -74.\nAnswer: -46\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = -a + 56. Let n = -14 - a. Calculate the remainder when n is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/4443 in -4, 1, -24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161373 is divided by 1389.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29171 divided by -188.\nAnswer: 29171\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -35, -0.4, -8\/13, 0?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r + r**2 - 5*r + 11*r - 1 - 15*r**4 as m*r + l*r**3 + c + f*r**2 + h*r**4 and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122901.3 micrograms to grams.\nAnswer: 0.1229013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**5 + 32*a**4 + 72*a**3 + 64*a**2 + 20*a.\nAnswer: 4*a*(a + 1)**3*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1577808 is divided by 42643.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59064 and 170344?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 8. Let c(i) = -i - 4. Suppose 3*n - 3*z = -0*z - 9, 4*n + 27 = -z. Let p(j) = n*w(j) + 13*c(j). Let a be (-32)\/(-8) - (8 - 0). Calculate p(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2296, -2314, -2330, -2344?\n\"Answer: s**2 - 21*s - 2276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.09 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2 + 25. What is the derivative of 7*h - 7*h + 16*h - 4 + f wrt h?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(((-24)\/42)\/((-8)\/28)). Solve 3*m + 11 - 5 = f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12)\/(-1*3\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.89 + 36.89. Let y = l - 31. Put -3, -11, y in ascending order.\nAnswer: -11, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 + 36*s + 117 - 30*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 + (-4 - -5 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2256271?\nAnswer: 41, 113, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(12 + -3 + -1). Let q(i) = -3*i + 11. Let b be q(v). Calculate the highest common divisor of 105 and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 240 = 4*s + 73 + 91, 3*s + 3 = 0 for c.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 5:06 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8*v = -13*v - 37, -3*j = -3*v - 69. Let p be (-12)\/66 + j\/(-220). Which is the nearest to 2\/3? (a) p (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 196.\nAnswer: -3\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 + -70. Let m = n - 30. Suppose -3*f - 210 = -m*f. What is the greatest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -11001010?\nAnswer: 11000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/1843 + 3736\/46075. Let b(i) be the first derivative of 0*i + 2\/15*i**3 - 1\/5*i**2 + 1\/10*i**4 - 2 - l*i**5. Factor b(y).\nAnswer: -2*y*(y - 1)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1087487.777 rounded to the nearest 100?\nAnswer: -1087500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-4)*(-411)\/(-2329).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/15)\/(2\/(-1737)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(((-6)\/4)\/1). Let s be ((-50)\/(-6))\/(o\/(-18)). Suppose -58 = -5*q + 4*j, 2*j + 36 = 4*q + 4*j. Calculate the greatest common divisor of q and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1\/2. Let g = -20 - -35. Calculate the common denominator of w and ((-2)\/(-4))\/(g\/(-87)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j*s*y + 2504*j*s - 240*s*y wrt j?\nAnswer: 2*s*y + 2504*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 divided by -119?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1447722 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 212293 = 2*b, -6*b = -7*b + 2*u + 106115. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.533 - -0.133. Let b be (-252)\/459 - 2\/(-3). What is the third biggest value in 0.1, 1\/2, b, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 > -528172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-11) - (-3)\/(-165). Let u(r) = r**3 + 22*r**2 + 21*r + 3. Let h be u(-21). Let v = -0.3 + -0.1. Which is the biggest value? (a) v (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1220956*k**5 + 227734*k wrt k.\nAnswer: -24419120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. What is the second smallest value in 3, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-5*(sqrt(162) + -1 + sqrt(162)) - (-4 + sqrt(162) + 1 + 1 + sqrt(162)))*6)**2.\nAnswer: -352512*sqrt(2) + 5982372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/3)\/t**(-2\/9)*t**1\/(t**(-21)\/t) assuming t is positive.\nAnswer: t**(206\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 0*m + 5*m)*(-4 + 3 + 2)*(-11 - 92*m + 90*m - 279) as s + f*m**2 + x*m and give x.\nAnswer: -1450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 27*x - 8. What is p(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68) + (sqrt(68) - sqrt(68)*1) + sqrt(68) - sqrt(68)))\/(sqrt(48)\/(sqrt(36)\/sqrt(3))) + 0 + (sqrt(306)\/(3*sqrt(6)))\/(-1*sqrt(108)).\nAnswer: -73*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 235091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.8 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72798 = 367*p - 492*p + 1297*p + 17446 for p.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 - w + w**3 + 3*w + 5 - 6 to the form f*w**2 + s + v*w**3 + b*w and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 5*s + 526 + 524 = 1060, -2*s + 31 - 245 = 21*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/4 (b) -11.2 (c) 7 (d) -14 (e) -2\/7 (f) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1100 - 781. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246329 to the power of 1\/2, to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 r when three letters picked without replacement from drjddjdddjjjjdddd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/10044 and -121\/42444.\nAnswer: 1315764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*l - 4*s, 0*s + 4 = -2*l + 2*s. Suppose 0 = 4*v - l - 7. Suppose v = -2*a + 16. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + 32. Let k = c - 48.977. What is k rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 774 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*v - 18 = 2, 65 = -3*h - v. Let x be (5\/4)\/((-5)\/h). Solve 2*c = 5*o - x, -3*c + 2 = 2*c + 2*o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -12*o + 3. Suppose 0 = -3*z - 5*c - 31, -4*z - 54 = 5*c - 21. Let j(u) = 13*u - 2. Determine z*n(y) - 3*j(y).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 305, 897, 2027, 3875, 6621, 10445?\nAnswer: 15527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2157093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 3) to base 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3544617 + -3?\nAnswer: 3544614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 174\/(-30) + (-1)\/5. Let x be 1\/((-10)\/k)*5. Suppose -x = -b - 0*b. Solve 0*l = b*z - 3*l + 6, 3*l - 14 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 3*d. Suppose -3*o + 37 = 2*t - 100, d*t = 5*o + 263. Is t a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547716126.\nAnswer: 2, 3, 97, 941093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 7*f + 218 = -v - 3*f, f + 23 = 8*v - 37 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2 + d + 4. Suppose -5*c - 4*q - 2 = 0, 4*c + 4*q - 2 = c. Let h be (18\/8)\/(1\/4). Let j(k) = 3 + k**2 + 0 - 2. Calculate c*z(p) + h*j(p).\nAnswer: -p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 85 = -82, 0 = 4*a + j - 19189. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100.98 - 100. Let y = h - -0.02. Let c = -2 - -7. Put c, -0.1, y in increasing order.\nAnswer: -0.1, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lggllslgbgbbrg. What is prob of sequence ll?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221101200202 + -120122?\nAnswer: -221102021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -58. Let t(x) = 2*x**2 + 4*x + 2. Let w be t(v). Calculate the highest common divisor of 352 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 b, and 1 d when three letters picked without replacement from dbbbufdfdxxxbubuddxx.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -20, 0 = -a - 3*a - 2*i + 24. Find the common denominator of a\/(-10) - (-837)\/(-120) - 0 and -105\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 100.02 and 2.321?\nAnswer: 232.14642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/95? (a) 2\/9 (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40840360 divided by 742552.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25.7884 - 26. Let n = -54 - -54.21. Let s = i + n. Round s to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.3 (b) 0.7 (c) 2 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.25, 2, 67?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -2*m**2 + 1\/12*m**4 + 2\/3*m**3 + 3*m - 7 - 1\/20*m**5. Let i(j) be the first derivative of g(j). Solve i(s) = 0 for s.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c - 154*c - 2780 = 104*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - n**2 + 2*n - 3. Let d be t(2). Let h(b) = 18*b - 4 + 5 - d*b. What is the remainder when 40 is divided by h(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 5*w - 21, 67 = f - 9*w + 23*w + 84 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*q + 23*q - 2 - 213*q + 23*q + 21*q + 25*q.\nAnswer: 8*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -220*x**3 - 62036*x**2\/3 + 424*x\/3 + 1504 = 0. What is x?\nAnswer: -94, -4\/15, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10469691269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 19. Let f(k) = k + 1. Let l(r) = -f(r) + n(r). What is the tens digit of l(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (22 - -14) + -19 + (5 - (-2 - 2))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8)\/(-52) - (2 + (-239392)\/104)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45*(21 - (-955)\/(-45))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8861 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 + -0.04. Which is the nearest to -1\/4? (a) 5 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n = -190 + 168 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3137 divided by 190?\nAnswer: -3137\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-32)*51\/(-136)*-4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 + 20*y**4 + 130 - 51 - 21*y - 76 + 15*y to j*y**3 + o*y**2 + x + p*y**4 + q*y and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12373 - 61596\/5. Which is bigger: k or 53?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 4. Let b be y(5). Let d(l) = 5*l - 1. Let k be d(b). Suppose -k*r + 2*c = -10, -3*c + 8 + 7 = 0. Solve -j + 4 = -4*v, -3*j + 4*v = -r - 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -249, -250, -251?\n\"Answer: -c - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j**2 + 21*j**2 - 38*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 210*v**2 - 19*v - 98. What is the hundreds digit of m(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 15*i - 74. Give o(-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 1. Suppose 4*j - m - 2 = j, 2*m - 2 = 3*j. What is s(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1015905*h**2 - 1541886*h wrt h.\nAnswer: 2031810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 221353453 + -20?\nAnswer: 221353433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from fror.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 50 + 34)*(-801 + 801 + 5*p) - 2*p + 5*p + 0*p in the form n*p + k and give n.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 8\/4 + 80?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 165.\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128891617?\nAnswer: 128891617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2\/27, -35618 in increasing order.\nAnswer: -35618, -0.5, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 89*s**2 + 2 + 2*s**3 - 9*s**4 + 176*s**2 - 89*s**2 to the form h + t*s + c*s**4 + w*s**3 + y*s**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6)*((-8)\/6 + 4). Suppose -32\/9*k + 26\/9*k**2 + o + 10\/9*k**5 - 34\/9*k**4 + 22\/9*k**3 = 0. Calculate k.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3.7 (b) -4 (c) 0.06 (d) -36\/17 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 - 67.98. Let s = u + 68.3. Let r = -0.04 + -2.96. What is the third smallest value in s, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 0. Let w = 3 + -6. Which is the second biggest value? (a) w (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from psssspssssfsss. What is prob of picking 2 p and 1 s?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 - -0.1. Let o = -9 + 1. Let r = 0.77 + -0.77. Which is the closest to r? (a) o (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -14*b**2 - 17*b - 11. Let v(q) = -7*q + q - 5*q**2 - 4 + 0. Let r be ((2160\/8)\/45)\/(-1). Calculate r*h(y) + 17*v(y).\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 701, 3553, 8313, 14981?\n\"Answer: 954*l**2 - 10*l - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(5 + 3*(-1 + sqrt(1900)) + sqrt(1900) + sqrt(1900) + sqrt(1900) + sqrt(1900) + -2 + sqrt(1900) + sqrt(1900) + 0))**2.\nAnswer: 1231200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180795?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0 (c) 36\/145 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 4, -5.2 in ascending order.\nAnswer: -5.2, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 4373508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6028 divided by -22\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Let n = j + -1. Let r be (3*2\/3)\/2. Which is the closest to n? (a) -2\/17 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8836674 is divided by 77?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/14)\/(2\/(-36)). Let c be 3\/k*-1*3. Sort 0, c, -0.1.\nAnswer: c, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6195, -6185, -6161, -6117, -6047, -5945, -5805?\nAnswer: -5621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 15 = h - 9, 5*h - 15 = -4*t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - 142?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8905.\nAnswer: 5, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 314 + -45. Solve -3 = 268*d - k*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28.59 - -41.5875. Let y = 13 - j. Round y to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2085250 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.7 (b) 2\/13 (c) -15\/44 (d) -2 (e) -1\/3 (f) -3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 - a. Let s be j(5). Let h = 63 - s. Calculate the remainder when h is divided by 0\/4 + 10\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -2\/9 (c) 3 (d) 98 (e) 4 (f) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3384 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**3)\/q**5)\/(q**3\/q**(-1)))\/(q**(1\/14)*q*q\/q**(-4\/3))**(-3\/25) assuming q is positive.\nAnswer: q**(-1607\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 = -5. Suppose -p*i = -0*i - 9. Suppose -2*f + 7 = -i. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 18*v**4 - 5*v**3 - 5*v**2 + 5*v - 15. Let g(l) = l**4 - l**3 - l**2 + l + 1. Let b(y) = -5*g(y) + m(y). Find the first derivative of b(c) wrt c.\nAnswer: 52*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7*g = -24. Find the third derivative of 3*r**2 + 7*r**3 + 3*r**3 - 7*r**2 - g*r**2 wrt r.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -68923, 8, -3, 1.\nAnswer: -68923, -3, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1424 and 445.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -70d67 + 3?\nAnswer: -70d64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 18*v = -14*v - 83, -13*v - 28*v + 1078 = -5*d - 2*v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 30 = 5*t, 4*x - 2*x - 2*t - 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (72\/15)\/(4\/10). Let o be s*(6\/(-4))\/3. Which is the smallest value? (a) 4 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 51. Determine f(20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691822 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 888604491?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnh when three letters picked without replacement from wnhvwvnwnwh.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120 - -101016?\nAnswer: 100566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 737, 0, 1, 24 in descending order.\nAnswer: 737, 24, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 11 + 3. Let d = 13 + q. Let t be (15\/(-75))\/(3\/d). Put 1\/4, t, 2 in descending order.\nAnswer: 2, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4*-1 + 986\/232. Suppose 0 = -28*i + 30*i - 12. Differentiate -9 + 32 - 31*h**4 + i*h**w + 13*h**4 wrt h.\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 - 10*r**2 + 6*r - 20. Let y be d(4). Let n be 768\/45 + y\/(-90). Factor n - 20\/3*k + 2\/3*k**2.\nAnswer: 2*(k - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 3, l: 2, s: 6, d: 2}. What is prob of picking 2 s and 1 f?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -454835\/3 + 149069. Is d >= -2543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13501, -13404, -13307?\n\"Answer: 97*z - 13598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4 - 30*m**3 + 3564*m**2 + 1134*m - 734265 = 0. Calculate m.\nAnswer: -37, -15, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -36*x + 6 + 4*x - 38*x**2 - 26 - 2*x. Let y(m) = -13*m**2 - 11*m - 7. Let t(k) = 3*d(k) - 8*y(k). Factor t(h).\nAnswer: -2*(h + 1)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = 515 - 554. Suppose -4*v - 5 = -9*v. Let p be ((0\/(-1))\/(-2))\/v. Solve y*m - 3 = -4*i, -3*i - 5*m = -p*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**7\/840 - d**6\/180 - d**3\/3 - 2*d. Let x(n) be the second derivative of h(n). Find the third derivative of x(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 - 6.12. Let q = -8 - s. Let m = -2.2 - q. Which is greater: -0.1 or m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by 65134\nAnswer: -73\/65134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, t: 6}. What is prob of sequence tt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 45*x**2 - 522*x + 24893. Determine l(44).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 2*d**3 - 6141. Let l(k) be the third derivative of -k**4\/4 + k**2. Give h(l(p)).\nAnswer: 216*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*f - t = -83*f + 5, -6 = 4*f - 2*t. Solve -1\/6*c**3 + 64\/3 - 7\/3*c**f - 16\/3*c = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 738.5 + -397. What is l rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Let n(d) = 5*d**2 - 4*d**2 - 2*d**2. Let f(q) = -q**2. Let x(h) = 5*f(h) - 4*n(h). Give s(x(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 7*f = u + 3, -u = 17*f + 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 - 7*v**3 - 7*v**2 + 15*v.\nAnswer: -v*(v - 1)*(v + 3)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3756*v + 7262. What is a(-2)?\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -155 + 154.9. What is the third smallest value in 0, -0.04, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6*w + 14 = 0. Let o(q) = -67*q**3 + 2*q**2 + 4*q + 5. Is o(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4*1*(-3 - -11). Let b be 3 - (o + 0)\/2. Determine x so that x**2 + 3*x**2 + 145*x - 10*x**4 - 150*x + 6*x**2 + b*x**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3794 + -2130. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19468 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 3*sqrt(153) + -1*(sqrt(136)\/sqrt(8) + sqrt(17) + sqrt(17) + sqrt(17) + sqrt(17)) - 1*-4*(sqrt(1377) + -3).\nAnswer: -12 + 41*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-80)\/12*(-9)\/4. Suppose -b*o + 156 = -9*o. Let q = 89 - o. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 2*l. Let t(j) = 589*j**2. Give z(t(o)).\nAnswer: -346921*o**4 - 1178*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by 4.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 3. Let c be a(-7). Suppose 3*d = 5*g + 6, -2*g = d - 0*g - 2. Suppose -c*o + d = -482. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2.99. Let g = a + 3.01. Let z = 3.000001 - g. What is z rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 - 2*f**3 + 9*f**4 - f + 2*f**3 - 8*f**4 in the form z*f**3 + k*f + o + b*f**4 + r*f**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 16*x + x. Factor 0*n + 2\/5*n**3 + x - 2\/5*n**2.\nAnswer: 2*n**2*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.6362791 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 3, -2\/3, -2, -84, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 593660731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -25 + 0 + -33\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyg when three letters picked without replacement from {g: 1, a: 3, y: 2, w: 2, x: 4}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*a - 19 - 6 - 32 + 39 - 212*a.\nAnswer: -366*a - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -5 (c) 0.1 (d) -1929\/4 (e) 13\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -2*j + 57. Let h(v) = -v**3 + 12*v**2 + 44*v + 28. Let w be h(15). What is the greatest common divisor of j and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.11 + -4.29. Which is the nearest to 1? (a) m (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -485, -1995, -4523, -8063, -12609, -18155, -24695?\n\"Answer: d**3 - 515*d**2 + 28*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 5*f - 3. Let o be z(-6). Suppose 3*m + 33 = 4*m - o*s, 0 = -m - s + 33. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1744 and 939552968.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-2)\/(152\/12)). Let p = -638 - -1075. Calculate the greatest common divisor of p and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - o + 15014 = -14414, -3*x = 9*o - 17640. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**5 - 40*y**4 + 148*y**3 - 256*y**2 + 208*y - 64 = 0. Calculate y.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -289 + -103?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 64926 and 0.032.\nAnswer: 2077.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -55, -34, -7, 26, 65?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*s + 127 = 2*h - 90*s, -3*s - 204 = -3*h. What is the remainder when 1683 is divided by h?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - 6c62?\nAnswer: -6c77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146 - 144. Suppose 5*o - d*o = -6. What are the prime factors of o\/(-5) - ((-3684)\/15 + 0)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*((-26)\/6 - (-8 - -5)). Put 0, -2, g, 4 in descending order.\nAnswer: 4, 0, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 29a?\nAnswer: -2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 14*l + 66 = 0. Let q(t) = -t - 3 + t**2 - 3 + 9. Calculate the smallest common multiple of l and q(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 1. Let n be y(-1). Suppose n = d - 0*d. Solve d = -4*j - 11 - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) -222 (c) 3 (d) 1\/3 (e) 5 (f) 2 (g) -1468\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - 57?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 23 - 14)*(-2 - 14*c + 2).\nAnswer: 560*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 156344421 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 6:53 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116 (base 8) to base 6.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218722903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 24537*n - 25 = -24539*n, 4*t - 3*n = -33 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2780993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9683 + -4)\/((63\/28)\/(-3)).\nAnswer: 2, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or 27250545?\nAnswer: 27250545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/5 of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97057 + 97061. Let 36\/13*z**i + 66\/13*z**3 + 22\/13*z**2 - 2\/13 - 10\/13*z = 0. What is z?\nAnswer: -1, -1\/6, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72 + 328*h**2 + 36 + 33 + 53*h + 0*h + 5*h wrt h.\nAnswer: 656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 16479.\nAnswer: 16478.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3*o + 3*w = 31, -o = -4*w + 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*t = 45*t + 1056. Calculate the remainder when 351 is divided by t.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12896320 divided by 955\nAnswer: 13504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4537.29 less than -0.43?\nAnswer: -4537.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*z + 6*z - 3*r + 3, 0 = -4*z - 5*r + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 25 = 9. Let x(y) = -y**3 + 7*y**2 + 7*y + 8. Let u be x(z). Suppose 2*p + 0*p = -4. Sort -6, u, p in descending order.\nAnswer: u, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100100111 (base 2) to base 7\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46, 97, 182, 301, 454?\n\"Answer: 17*m**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9786 - -27707. What is the thousands digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, x: 1, s: 3, i: 3, o: 2, y: 4}. What is prob of picking 2 i and 1 y?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*6*9\/(648\/(-24))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/104*44\/(-66). What is the third smallest value in j, 1\/6, -2, 19\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-38)\/(-6) + 3\/(-9). Suppose 0 = -4*f - 6*f + r*f. Calculate the remainder when (118\/(-4) - f)*-2 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m - 55 = 0. Let s(c) = c**3 + 10*c**2 - 8*c - 14. Let y be s(m). Let t = y - -44. Put 1, t, -2 in decreasing order.\nAnswer: 1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 10:23 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000732 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*u + 116*u**2 + 6*u**3 - 367*u**2 + 251*u**2 - 376*u.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 21.1155239.\nAnswer: 21.2155239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 148 in -5, 0.5, 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 + (4 - 10) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54\/110 - 4\/10. Let n be 6\/10*160\/(-64). What is the nearest to n in -5, k, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 + 260*h**2 + 2150*h + 8075. Give k(138).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21296 is divided by 764.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1304?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2382 + -1347. List the prime factors of f.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**5 + 279365*j**4 + 3905730440*j**3 + 97499993940*j**2 + 436495681440*j - 2292464341440 = 0. Calculate j.\nAnswer: -27924, -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-4)\/2 - -2. Suppose -6 = -j + z*f, -3*f = -6*f + 9. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 493\/117496 or -1?\nAnswer: 493\/117496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*t + 90 - 1994. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -198 + 434. Suppose -5*g + r = 41. What is the least common multiple of 10 and g?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3. Let c = h - 14. Let z be (-4)\/c*3\/(-6). Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/3)\/(-1 + -2). Let h be (-10)\/6 + w + 2. Let q be 2*(4 + -2 + (-7)\/2). Which is the closest to h? (a) q (b) 4\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -270*z + 59*z + 7*z - 152*z - 18868 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -7. Let l = -4 + m. Suppose g = -g - l. Let t(z) = -z + 4. Let n(i) = -1. What is g*t(k) - 9*n(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15*2\/8*2*-2. Let c = 20 + m. Suppose -4*h - o + 256 = 4*o, -o + 320 = c*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**4 + 2*i + 55*i**2 - 4*i**3 + 207*i + 4*i**3 - 56*i**2 as c*i**2 + f*i**4 + s + j*i + q*i**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*f + 82*f + 592*f.\nAnswer: 612*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 4*u**2 - 2*u + 4. Suppose -3*j = 7 + 2. Let x(d) = d**3 + 2*d**2 - 2*d - 1. Let y be x(j). What is h(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 12*t - 158. Let f be g(14). Solve 0 = -7*r + f + 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -360 + 357.54. Let x = 2.26 + t. Let o = 1 - 5. Which is the second smallest value? (a) o (b) 0.6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*s = 10. Suppose 0 = -4*u + 7*u, 4*p = -s*u + 40. Solve 10 = 5*d - p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/(v**(2\/9)*v))\/v*v*v)**(-44))**11 assuming v is positive.\nAnswer: v**(-7744\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3673, -7347, -11021?\nAnswer: -14695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 860*p**3 - 5*p**2 - 55*p wrt p.\nAnswer: 5160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 45*c**2 - 80*c + 429. Calculate the least common multiple of 264 and k(-43).\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4 - 3*b - 8 + 2 - 43*b. Let r be a(-2). Let h be 12\/2 - (-56)\/14. Calculate the highest common divisor of h and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 + 107 = -15*s - 51*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/(-20)*208\/((-3588)\/(-69))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**2 - m. Let x(b) be the second derivative of 0 + 0*b**2 + 13\/12*b**4 - b + 1\/2*b**3. Let s(r) = 5*c(r) + 2*x(r). Factor s(f).\nAnswer: -f*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19210.\nAnswer: 2, 5, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*l + 10 + 14, 5*y - 15 = 5*l. Let i(j) = -2*j + 8. Let k be i(5). Let s be 9 - k\/2*1. Sort l, s, 2.\nAnswer: l, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -99bc + -24?\nAnswer: -99e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 34. Suppose -4*a + a - 3*u = o, a + 4*u + 17 = 0. Suppose -a*i + 30 = -3*q, -4*q - 14 = -i - 1. What is the least common multiple of 10 and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.675 times 19\nAnswer: 278.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 14*u + 10128. What are the prime factors of x(0)?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*m - 107*m + 65*m.\nAnswer: -94*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -18*i**3 + 5*i**2 - 5*i + 5. Let m(k) = k**3 - k**2 + k - 1. Give -5*m(y) - p(y).\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19, -44, -109, -232, -431, -724, -1129?\n\"Answer: -3*r**3 - 2*r**2 + 2*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 401*g**4\/12 + g**3\/6 - 15*g**2\/2 + 165*g. What is the second derivative of r(x) wrt x?\nAnswer: 802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1511501 - -241?\nAnswer: -1511220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -15*d**2 + 128*d + 1. Calculate k(12).\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256801, 262747, 268691, 274633, 280573?\nAnswer: 286511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 2*x**2 + 5*x + 9. Calculate z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -525, 4, 0.2 in decreasing order.\nAnswer: 5, 4, 0.2, -525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 45472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25280 - 25280.5. Let z be (7\/70)\/(3\/6). Which is the smallest value? (a) q (b) z (c) 51 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2, -3123, -15, -3\/20, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiqiqifieiqq.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.94 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42882, 40172, 37462, 34752, 32042?\n\"Answer: -2710*i + 45592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0499*-431791.\nAnswer: 21546.3709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -6. Suppose -156 = 4*n - 6*n. Suppose -2*a = -4*a + n. What is the highest common divisor of a and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g = -7*g + 34 + 256 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 25 = 5*a. Let v = -144 - -147. Solve 18 = a*y + 2*p, -16 = -5*y - v*p + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6759525.\nAnswer: 3, 5, 90127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from fdvzvddd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80871590?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63643*v**3 + v - 1070468 wrt v?\nAnswer: -190929*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5074, -5078, -5084, -5092, -5102, -5114, -5128?\nAnswer: -5144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.64, 2\/15, -925, -9, -2, -3?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a779 (base 11) to base 5.\nAnswer: 10244243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.5 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102984 and 34300?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 10*g**2 - 7*g - 13. Let z be o(9). Suppose -l + 50 = -2*h + 4*h, 2*h - z*l - 26 = 0. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2. Let q(o) = -94*o. Calculate m(q(p)).\nAnswer: -17672*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7696.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 7:56 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5 = 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 1. Suppose s - 6 = o, -2*s + 2*o = 3*o + 3. What are the prime factors of (-11)\/((-1)\/s*x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgjgjjjggjgjj. Give prob of sequence jjj.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8263.\nAnswer: 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + -1 + sqrt(66)\/sqrt(6)*6.\nAnswer: -1 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-8))**(43\/5) assuming p is positive.\nAnswer: p**(-301\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00588 less than 0.2478?\nAnswer: 0.24192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 772864.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*w**4 - 3*w**4 + 4*w**4)*(4*w + 1 - 1) + 3*w**5 - 5*w**5 + 3*w**5)*(-2 + 5 - 1).\nAnswer: -14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 28*z + 139. Determine w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-52 + 92 + -50 - (-25 - -2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(-2*sqrt(8)) + sqrt(75)*1.\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d - 5*d + d)*(124 + 130 + 199) to the form y*d + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 - 4*b**3 + 19)*(-3*b + 2 - 2) to k + i*b + h*b**2 + t*b**3 + g*b**4 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2 + 5016*m + 3145032 = 0.\nAnswer: -1254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 0.4, -1312516, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*z**3 - z - 3 + 231*z**3 + 0 - 85*z**3 to the form f*z + v + h*z**2 + i*z**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(1296)*4) + -3 + sqrt(5)*4*4 + sqrt(5).\nAnswer: -3 + 817*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 5. Let a be i(8). Let j(c) = -c**3 + 11*c**2 + 2*c - 11. Let f be j(a). Let t = f - 2. 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(l) be the first derivative of 4*l**3\/3 + 3*l**2 - 2*l - 29. List the prime factors of a(-5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*s + 4180 = 0, -z + 34*s - 31*s + 2091 = 0. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 417 + -425 + (2 - -9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 1, 5, 6, -1246 in ascending order.\nAnswer: -1246, -1, 1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**2\/2 + 3*y + 2. Let d be q(3). Suppose -4 = -5*w + d. Solve 7 = -w*j + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 1 + -18 - 17\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61*r**4 - 20*r**3 + 2*r - 198937 wrt r?\nAnswer: 244*r**3 - 60*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/414, 1\/2, 84\/11, 2 in increasing order.\nAnswer: 1\/414, 1\/2, 2, 84\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 6. Let n be j(11). Suppose 2*z - 2*s - 64 = -0, n*s - 50 = -2*z. Calculate the greatest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**3 - 3465*o**2 - 130326*o + 274536 = 0.\nAnswer: -1116, -41, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197876301 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:22 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/40)*(w*w**(1\/2))\/w*w**(2\/5)\/(w\/w**10))**(-28) assuming w is positive.\nAnswer: w**(-3059\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 13. What is the units digit of p(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -1596.\nAnswer: -798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-8))\/(3\/636). Let q = i - 47. What is the greatest common factor of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5716*x - 5669*x + 11635*x = 10250 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, -5, -42 in decreasing order.\nAnswer: 0.5, -4, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 5*r + 319. What is the highest common factor of r and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 10*n**2 - 3*n + 35. Let m be x(11). Let q = 102 + m. Which is the nearest to 1? (a) q (b) -0.4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 3. Let y(t) = -9*t**2 - 15*t + 2. Let s(l) = -5*l**2 - 8*l + 1. Let u(x) = 11*s(x) - 6*y(x). What is u(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32273, 249, 1, 3 in decreasing order.\nAnswer: 249, 3, 1, -32273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.062 and -11079.6.\nAnswer: -11079.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 13*k**2 + 6. Suppose -7*h = -4*c - 3*h + 8, -5*h = -c - 10. Suppose c*j - 81 = -16. What is the smallest common multiple of 22 and n(j)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28579350?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -14. Solve -j + 22 = 5*w, 0*j - 4*j - w = -b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/12? (a) -2 (b) 2 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 16 = 94. Let w be (-25)\/k*(-13)\/(325\/(-30)). Solve 6 + w = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 443 and 3109.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k**3 - 24*k**2 - 3*k - 2. Let p(t) = -5*t**3 - 17*t**2 - 4*t - 1. Let f(q) = -3*p(q) + 2*s(q). Let o = -1 + 5. What is f(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 4*d - q, 4*q + 168 = 5*d - 52. Let s = -39 + d. Calculate the common denominator of (-284)\/(-56) + (-2 - s) and 73\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00223331826 to four decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 95*t - 100*t - 25, -3*t - 1 = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -501 - -502. Solve 5*y = -2*u + 4 + t, -3*u + 5*y - 30 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 o when three letters picked without replacement from yyyoyjyooyyjyyyyjy?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1080 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, y: 10}. What is prob of picking 1 y and 3 c?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5425534284?\nAnswer: 2, 3, 19, 23796203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, v: 1, o: 9, s: 3}. What is prob of picking 1 l and 3 o?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34728.42029 rounded to the nearest one hundred?\nAnswer: 34700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 14. Let r = -12 - -12. Suppose v - 4*q - 77 = r, -2*q - z = -10. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7808 times 4.68?\nAnswer: 36541.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**2\/2 - 192255*b - 5381964 = 0.\nAnswer: -128142, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.8 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*q - 8*q + 28*q + 1233 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 165 + -137. What is the smallest common multiple of q and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 - (-368)\/20. Suppose -5*g + 7 + t = 0. Factor 4*c**g - 5*c - 4*c**4 + 2*c**2 - 3*c - 12*c**3 + 23*c**2 - 5*c**2.\nAnswer: 4*c*(c - 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 30 = 4*r. Let v(l) = -3*l + 2. Let x be v(r). Let t = -57 + 87. Calculate the highest common factor of t and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5008539838?\nAnswer: 2, 151, 2713, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s + 142. Let i be c(25). Let f be -1*(-12)\/(-20) - i\/5. Solve -f - 4 = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 12026329078.444\nAnswer: -12026329078.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v**2 + 32*v**2 - 81*v**2 + 30*v**2 + 28*v**2 + 14*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -508 - -508. Solve j = 3*v - 4*n + n - 3, 17 = 5*v - 2*n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 25*o - 149. Let u be m(6). Let l = -3.4 + 3. Which is the nearest to u? (a) -0.2 (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(5) + 0)**2 - -2*-4*sqrt(5)) + 5.\nAnswer: -8*sqrt(5) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013869 to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14) - 1566\/42. Let d = x - -151. What is the remainder when d is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69*m**3 + 69*m**3 + 71 - 6*m**4 wrt m.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 1, 5, 130 in increasing order.\nAnswer: 1, 2, 5, 9, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + 5*sqrt(17))**2.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20 + 1828*q**2 + 7 - 16 - 2*q - 1348*q**2 wrt q?\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4ac0 - 190?\nAnswer: -4c60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**2 + 7*f + 10. Let j be z(-6). Let p = 362 + j. List the prime factors of p.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(465\/(-5))*0\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/44 - (-637)\/143*-1. What is the closest to w in -0.2, 8\/5, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -8*(0 - 3) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27528 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -30 + 37 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 5)*(-4*k**3 + 0*k**3 + 6*k**3)*(0 + 1 - 4)*(-2*k**2 - 3*k**2 + 6*k**2).\nAnswer: -30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 13906844438003.\nAnswer: 13906844438002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -32 + 4\/(1 - 0). Let q be (-7)\/w + 43\/4. What is the highest common factor of 55 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.982 + -1.882. Which is the nearest to 3.4? (a) -0.3 (b) -0.1 (c) 5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 10*p + 2*l + 72, 3*p - 3*l = 54. Let n(v) = -v**3 + 17*v**2 + 19*v - 16. Let f be n(p). Solve 0 = x + 3 + f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 28, 135, 348, 703, 1236?\nAnswer: 1983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x + 8. Let a be z(0). Let q(v) = -3 + 1 - v**3 + 31*v - 38*v + 9*v**2. Calculate the lowest common multiple of 3 and q(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 184770 and 66150?\nAnswer: 135805950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 12 - 13 - 112)*(-2*z**5 - 4 + 4).\nAnswer: 276*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -228.73 to the nearest integer.\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221245 (base 8) in base 16?\nAnswer: -922a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r + k + 7 = 0, -k - 11 = -3*r. Let v be (-4)\/(-15) + 4\/10. Let h = 233 - 233. What is the nearest to r in v, 5, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 73. Let z(s) = -s - 1. Let h(c) = 5*c + 1. Let n(q) = 26*q + 4. Let p(t) = -11*h(t) + 2*n(t). Calculate m*z(b) - p(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.046 from 674482493187.\nAnswer: 674482493186.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + sqrt(54)\/(sqrt(50) + sqrt(2)) + sqrt(27))\/(sqrt(225) - (sqrt(225)*1 + sqrt(225))))**2.\nAnswer: 169\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109810 divided by -5.\nAnswer: -21962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*w - 4. Suppose -w*f = -7 - 1. Let a be f\/10 + (-64998)\/(-5). Round a to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6029, 12026, 17919, 23654, 29177, 34434, 39371, 43934?\n\"Answer: -9*n**3 + 2*n**2 + 6054*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105\/206 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4. Suppose v = i - 5*s - 31, -3*i + 3 = -s - 48. Let m(c) = -c - 3. Calculate the least common multiple of i and m(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53072 or -3?\nAnswer: -53072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7490*d**2 + 14980*d + 29960. Let l(y) = -2*y**2 - 2*y - 4. Determine 14980*l(m) + 2*w(m).\nAnswer: -14980*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6999732 + -1.7. What is l rounded to six dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 8 = -2*m, 0 = -5*m - 16*q + 21*q - 10. Put -20, m, 2 in increasing order.\nAnswer: -20, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**5\/20 + 3*u**4\/8 + 2*u**3 - 8*u**2 + 20. Let m(n) be the second derivative of f(n). Factor m(d).\nAnswer: -3*(d - 4)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*z)\/z)**44\/(z\/(((z**(-5)*z*z)\/z)\/z)*z\/(z\/(z**(-1)*z))*z) assuming z is positive.\nAnswer: z**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26019734189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9\/70 - 214\/105. Let g = j - -61\/24. Which is smaller: 8 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125 - 116) + (4 - (12 - -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*g = 36, -5*r + 80 = 3*g + 25. Solve 3*n - 2 = -r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6155 + 2462.0238698\nAnswer: -3692.9761302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttt. What is prob of picking 4 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.07 + 1.13. Let l = a - 25. Let p = l - 3.2. What is the closest to 0.1 in 0, -3\/8, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(3 + 4*o - 5 - 5*o)*(49 - 5 - 11) + (3*o + 4*o - 5*o)*(4 + 3 - 6) + 2*o - o - 2*o as s*o + b and give b.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-7 - -2) - (-17 + 14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44 + 235431230?\nAnswer: 235431314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.87 - -81.805. Let j = t + -75. Let f = -10.935 + j. Which is bigger: f or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10120020222 (base 3) to base 14\nAnswer: 1b804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3 + 12*x**2 - 888*x - 896 = 0. What is x?\nAnswer: -16, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/360 and -13\/9612.\nAnswer: 96120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -25*m**3 - 3*m**2 + 2*m + 4. Let w be r(2). Which is greater: w or -202?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9\/136 - 5653\/136. What is the common denominator of 11\/356 and z?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, d: 2, t: 1, l: 1}. What is prob of sequence ld?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 25, -2\/7, -1\/5, 56?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -32. Let n = 715 - 401. Let a = n - 216. Calculate the greatest common factor of a and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2613526*m + 1906560*m - 6387104*m - 7750330*m.\nAnswer: -14844400*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 43. Suppose 2*f - 81 = t + 133, -2*f = h*t - 230. List the prime factors of f\/((2\/(-1))\/(-2)).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294d1 (base 14) in base 5?\nAnswer: 130442234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 - 34. What is the remainder when l is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216634 is divided by 81.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 0 + 1 - 3 - 8*r. Let a be j(-5). What is the greatest common divisor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8071452 or 48428713\/6?\nAnswer: 48428713\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, -240, -708, -1364?\nAnswer: -2208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = 5*r - 90, -a + r + 52 = 0. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -115.46?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 160 = -3*k, 3*a = -3*k + 38 + 82. Let j = 22 + k. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 i when four letters picked without replacement from iitiiitiititiiitti.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Let h = -7541 + 7546. Which is the nearest to 1\/3? (a) -2\/5 (b) h (c) i (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) -0.38 (c) 0.5 (d) -297\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d - 5*q + 15, -2*d - 3*q = -7. Let r(z) = -3*z**3 + 4 + 4*z**3 + 5*z + 0*z**3 - 4*z + z**d. Calculate the lowest common multiple of 10 and r(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 114?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.84 and -0.01.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6642, -26651, -60026, -106767, -166874?\nAnswer: -240347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 - -2. Which is the closest to -1? (a) u (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 13. Let k = -1 - i. Calculate the remainder when k is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5784)\/(-482) + (-212)\/18\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8811.010598 + 8811. What is f rounded to 4 dps?\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 61*q**2 - 52*q + 615. Give y(-62).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234946 - 81*o - 234946.\nAnswer: -81*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26 - (-3 - -1) - 0. Suppose 4*w + j = -3*u - w, 0 = -3*u + 5*w + 22. Let a be u*4 - (-5 + 4). Let d(z) = -z**3 - 4*z**2 - 4*z - 3. Determine d(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/12*117\/(-26))\/(1\/1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 181 + 538. Let g = 744 - m. Solve -5*c + z - g = -4*z, 3*z + 6 = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f - 1 + f**2 + f**2 - f**2. Let j(t) = 0*t**2 - 29 + 26 + 3*t**2 - 6*t. What is 7*c(r) - 2*j(r)?\nAnswer: r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270995743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 44*c + 46. Let k be t(-43). Solve 5*v - 26 = 3*f, -3*v - 1 + 7 = k*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3601, 3655, 3709?\nAnswer: 3763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 113397.4 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122327 + 122362. Suppose 0 = -0*d + 3*d - 399. Calculate the remainder when d is divided by r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**3)**(-44) assuming j is positive.\nAnswer: j**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 163*t + 72 = -158*t, -5*t - 6 = -2*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 8. Is y at most as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/25 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7713 - -4994. Let j = 2719.02686 + b. What is j rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1739 - 0.14.\nAnswer: 1738.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + (-2)\/(1 - 3). Suppose -b = -3*b + 8. Suppose 3*h = 1 - b, -2*h + 23 = 5*d. Solve 11 + i = d*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6034046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:02 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262799.\nAnswer: 109, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, 1\/2, 61, 1\/5, -5, -0.5, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z**2 - 2*z)*(0 + z + 0) - 2*z**3 + z**2 - 3*z**2 - z**2.\nAnswer: -z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.3 - 53. Let n = -12.54 - i. Round n to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 473 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1119 - 1119 - 77*l + (2 + 0 - 4)*(-3*l - 3*l + 3*l))*(-3*l + l + 0*l).\nAnswer: 142*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**3 + 2*f**2 - 8*f + 1. Let x(p) = p**3 + p**2 + 1. Let j(i) = -b(i) - 3*x(i). Let j(r) = 0. What is r?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-50)\/(-175))\/2)\/((-5)\/(-91)).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 95702659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 18.9. Which is the nearest to 1\/4? (a) -0.5 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 61.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 11.3, 1\/7, -7, 0.5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - 9) + 45\/7. Let g = -5 + y. Let f be (2\/10)\/(2\/(-2)). Which is the biggest value? (a) 3 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -186 + 190. Factor 0*b - 3\/5*b**5 + 8\/5*b**l + 2\/5*b**2 + 0 - 7\/5*b**3.\nAnswer: -b**2*(b - 1)**2*(3*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1955459\/436 + 4485. Let i = -2721\/1744 - t. Find the common denominator of 105\/44 and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/6)\/((-36)\/(-8) - 4). Let l(a) = -a**2 + 21*a - 68. Let x(h) = h**3 + 11*h**2 - 13*h - 4. What is the remainder when l(z) is divided by x(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 3061135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9053.597 days in seconds?\nAnswer: 782230780.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4280 - 4282 - 9*y**2 + 18*y**2 - 13*y**2 + 3*y. Let s(a) = -4*a**2 + 4*a - 3. Calculate -4*j(x) + 3*s(x).\nAnswer: 4*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9*n**(-7)\/n*n)\/(n*n*n**(-1))**(-1\/34) assuming n is positive.\nAnswer: n**(69\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -7118.9849 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -299 in descending order.\nAnswer: 3, -1, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 243 by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -240 + 2642\/11. Let x = -2771 + 2770. Put x, 6, f in decreasing order.\nAnswer: 6, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*j = 105854 - 109055 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 253798497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1758689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(132) - -1*sqrt(132)))\/(sqrt(120)\/(sqrt(10) + sqrt(10) + sqrt(60)\/sqrt(6)))*5.\nAnswer: 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-5 - 3) + (6 - 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -9938?\nAnswer: -5\/9938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 68*y - 1. Let h = -104 - -108. What is the tens digit of x(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 719499 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56848 and 1541356?\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 + 29 + 22)*(-o - 7*o - 4*o)*(0 - 3 + 1) in the form i*o + g and give i.\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 13, v: 2, u: 3, l: 2}. What is prob of sequence lul?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*d - 80. Let z be 7\/(-4) + d\/(-48). Which is the third biggest value? (a) z (b) -2\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1103, 2, -69 in increasing order.\nAnswer: -69, 0, 2, 1103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 1, -167 in descending order.\nAnswer: 1, 0, -3, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49869 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*n + 6. Suppose 11*a = 13*a - n. Differentiate -1 - 7 - a*s + 1 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - z + 4*f - 2 = 0, -2*f = -4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6*s - 13 + 13)*(-5*s + 0*s + 7*s) + (9*s - 2*s + 6*s)*(s - s + 2*s))*(-1 + 0 + 3)*(0 + 1 + 2)*(6 - 4 - 3) to g + x*s + f*s**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 791981080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46, -108, -172, -238, -306, -376, -448?\n\"Answer: -j**2 - 59*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109796330 is divided by 291?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23590628*q**3 - 48248524*q**2 + 658592*q - 2240.\nAnswer: -4*(17*q + 35)*(589*q - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 92 = -3*o, 608*w - 152 = -5*o + 605*w for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/39 - 164\/(-52). List the prime factors of 2\/g*(1 - (-1 + -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49028 is divided by 8000.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3*16\/12 - 1) + -5. Let m be (l\/(-2))\/1*(-2 + 2). Is 9 a factor of m - -26 - ((-2 - -2) + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2 + 1\/5 + 4\/5*w**4 + 3\/5*w - 3\/5*w**3 = 0?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/(-2) + (-2)\/2. Let u = y - 6. Determine g so that 0 - 3\/2*g - 3*g**2 - u*g**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from nqnnvcqhqqqcq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (93\/(-9) - -13). Let z = -10 + 6. Put -16, h, z in descending order.\nAnswer: h, z, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 5*d**2 - 983*d + 188. Determine i(-29).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3154 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1659 + 210733\/127. Let a = -4803\/3556 + m. Let v = a - 1397\/84. Is -17 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 divided by 8418.\nAnswer: -149\/8418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 32 = -17, 0*q - q + 3 = -a for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 836*(-33)\/60060 - (15\/(-35) + 0)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bdff + 1?\nAnswer: -bdfe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 22*q**3 - 10*q**2 - 20*q - 2. Let p be y(13). Let f = -20011 + p. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -128, -438, -1284, -2936, -5664, -9738, -15428?\n\"Answer: -45*o**3 + 2*o**2 - o - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 31. Let n(k) = 685*k - 1371*k + 693*k. Give n(o(y)).\nAnswer: 21*y - 217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 150711 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: Let n be ((-6)\/8)\/((-2)\/16). Suppose -d + n + 0 = 0. Let y = -11 - -23. What is the lowest common multiple of y and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**9\/v)\/v)**(-2\/47)\/(v\/(v**18*v)*v**23) assuming v is positive.\nAnswer: v**(-249\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*d + 25, -20 = 7*d - 3*d. Solve n = -2*j, 3 - 9 = 3*c + 5*j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628*l = -28900 - 5241 - 1192 - 4859 for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*m + 1\/4*m**5 + 1\/2*m**2 - 1\/4 - 1\/2*m**3 - 1\/4*m**4 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((162\/(-12))\/(-9))\/((-3)\/(-10)))\/11?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 5:29 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**2 - 3*q - 13. Let a be u(8). Let t = 438 + a. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 39 = o, -o - 284*b + 287*b = -99. Suppose 4*c + 2*h = -3*h + 92, 4*c = -2*h + 92. Calculate the remainder when o is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9354, 23783, 38212, 52641, 67070, 81499?\n\"Answer: 14429*i - 5075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79786.\nAnswer: 2, 7, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-1 + -2 - (sqrt(5) + (sqrt(40)\/(sqrt(8)*-3) - sqrt(5)) + sqrt(5)).\nAnswer: -5*sqrt(5)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 + c**4 - c**4 + (-3*c + 3*c + c**2)*(4 + 0 - 8)*(0*c**2 - 2*c**2 + 3*c**2).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -5 - (4 - 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + 212. Let r = 2 - 2. Let j be o(r). Suppose 0 = 3*c - j + 62. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 7*k + 6*k)*(54 + 75 + 2).\nAnswer: 1048*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2464 + 2223.2. Let u = 241 + b. What is the closest to -6\/13 in -2, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -542 - -1290. Suppose 4*q + v = 8*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from zzzzmm.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a - 543. Give i(-21).\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 1, b: 2, j: 1}. Give prob of sequence bo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n - 87*n**3 + 7*n - 4*n as c*n**2 + i + t*n + q*n**3 and give q.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(12\/(-8)*(-180)\/405)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.1 - 8. Let c be (-2)\/(-3)*9\/39. Let j = 61\/5 - 12. What is the nearest to z in j, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/1832421704 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-10)\/(-5))\/(2\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 + 127*a**2 + 415*a + 39696. Determine r(-65).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = -2*h - 22. Let a be 2 + (-3 - -2) - (-48 + h). Calculate the greatest common divisor of 527 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.302855 take away 2162.84?\nAnswer: -2246.142855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d**3 + 79*d**3 - 57*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 11*d + 5 = -7*d, 2*d = -3*z + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -21*l + 40. What is the smallest common multiple of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/3 + 13*f**2\/2 + 2*f + 460. Let g(h) = -2*h**2 - 6. Calculate 7*g(l) + 3*n(l).\nAnswer: -2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*a + 335*a = -536*a - 20142 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -25243423\nAnswer: -75730269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*v + 4 = -4*r - 87*v, -r - 7 = -v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (0 - -5)) + -30?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71\/44166 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (929 - 4*l - 1614 + 1008)*(-2*l**2 + 5*l**2 + 3*l**2).\nAnswer: -24*l**3 + 1938*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 21033?\nAnswer: -5\/21033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 8. Let d be u\/(0 - 30\/4). Is 2 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 - 51. Suppose -65 = -7*n + 1174. What is the remainder when n is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 0 + 1\/6*y**3 + 0*y**2 + 7\/20*y**5 + 0*y**4 - y. What is the second derivative of b(p) wrt p?\nAnswer: 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in 0.1, 1\/7, 2\/9, 1, 12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -770\/3 - -8464\/33. What is the fourth biggest value in -1\/2, -2\/9, 0.02, -1, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-25)\/10)\/(-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**6\/60 - 7*l**4\/24 - 5*l**2. What is the second derivative of r(d) wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12591 = 4336*z + 43777 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036796497 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 62. Suppose -3*c - 10 = -u. Put c, -2, -17 in descending order.\nAnswer: c, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-22)\/(-4))\/(-1) - 3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 823, 825, 827?\nAnswer: 829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 - -188. Let q = f + -66.01. Let g = q + 0.01. Which is the nearest to 0.1? (a) -2 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 0 + 4 - 2*f + (2 + 6 - 2)*(55*f + 101*f + 14*f).\nAnswer: 1018*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**2 + 28803*m - 7721100 = 0. What is m?\nAnswer: 276, 9325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 7*k - 4. Suppose 0 = -4*v - 3*n + 7, -4*n - k - 12 = -v. Solve 0 = -4*c + 4, 4*c = 4*f - 0*c - v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -16. Solve 2*u + 3*b + 19 = 0, g*u - 4*b + 9 - 1 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 19*d + 5 - 45. Let l be i(4). Calculate the greatest common factor of 32 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000751 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78671 is divided by 165?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 38 - 38. Let a be 0\/(4\/2) + 12. Let g be (6\/(-4))\/((-9)\/a). Solve -3*v - 9 = o, g*f + f - 21 = 4*v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8931874*l - 1672897*l + 589633*l - 6556252*l.\nAnswer: -16571390*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 14, t: 5}. Give prob of sequence tt.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(3\/45*(-72)\/48*(-20)\/(-12))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 222497151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -483 and -20.1788.\nAnswer: 9746.3604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -250325 + -3?\nAnswer: -250332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 15165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/84249 and 68\/200739.\nAnswer: 512486667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 295609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 - a**4 - 2*a**4)*(-582 + 430 + 607 + 378).\nAnswer: -1666*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30*18\/378)\/(10\/(-35)*6).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6933 divide 2082340416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/7 + (-60)\/(-14). Suppose -110 + 30 = -f*y. Solve -3*g + 7*g + y = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuiu when four letters picked without replacement from syyiiuyuuysy.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + 90c41c?\nAnswer: 90c40c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 12*w + 16. Let i be s(7). Let g = -146 + i. Put -4, -44, g in increasing order.\nAnswer: -44, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2506749 divided by 358107?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r + 2. Suppose -3*s - 3*a = -69, 2*s - 3*a - 17 - 24 = 0. Calculate the smallest common multiple of n(-3) and s.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 509?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -316.5 + 544. Let d = m + -228. What is the second smallest value in -32, d, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/(-5))\/9 + ((-84)\/(-35) - 0). Factor 0 + 4\/11*s**4 + 0*s + 1\/11*s**b + 4\/11*s**3.\nAnswer: s**2*(2*s + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-375.\nAnswer: 112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1728)\/(-120))\/(45\/75).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-22)*n*n*n**(1\/42))\/(n*(n**(-11)*n)\/n)**(-36\/11))**(-29) assuming n is positive.\nAnswer: n**(706121\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 515\/2 + -1029\/4. Which is the closest to -1\/4? (a) 2\/113 (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 9:19 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + x + 3*x - 10*x + 7*x to f*x + o and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.18, -0.7, 0.3?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 18*q - 21*q = 18, 4*k - 4*q + 8 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 + 17 + 18 - 42*s)*(-2*s**3 - s**3 + 4*s**3) as k*s**2 + y + j*s**3 + o*s**4 + w*s and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1597550?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from visjsjcqc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 331551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c. Let l(d) = d**2 - 7*d - 21. Let k be l(-10). Suppose 2*o - o - k = c. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 6758bc?\nAnswer: -6758b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -62 - 1882?\nAnswer: -1904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 229956 - 459911 + 229955 - 4*h. Let i(y) be the second derivative of 2*y**4\/3 + 2*y. Give r(i(b)).\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**5\/20 - 3*p**4\/4 + p**3 - 5*p**2 - 2*p. Let f be t(9). Let g = -17 + f. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z + 9*z + 4*z**2 - 12*z. Let j(w) = w**2. Calculate n(j(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8575*m + 3927351. Calculate x(458).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16362352 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110532 and 202642.\nAnswer: 1215852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3 - 3, 106 = 2*m + 3*w. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1)**(-8)\/(w\/(w\/(w**(-5\/6)*w))*w\/(w\/(w*w**4*w*w))))\/((w\/w**(-1\/4)*w*w*w\/(w*w\/w**1*w))\/((w**0*w)\/w)**(-2\/11)) assuming w is positive.\nAnswer: w**(-305\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(143) - (sqrt(143) + sqrt(143) + (sqrt(143) + (sqrt(143) - sqrt(143)*1)*-2 - sqrt(143)) + sqrt(143))))\/((1*sqrt(99))\/sqrt(9)*-2))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1533772 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1223111100 (base 5) to base 16.\nAnswer: 2ce1d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10903764 is divided by 19471.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26.89 + 27. Let i = d - -0.19. Which is the closest to 1? (a) i (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**5 - 1213*m**3 + 9*m**2 - 84*m + 370?\nAnswer: 80*m**3 - 7278*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5938868575?\nAnswer: 5, 237554743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + r + 281 = 25, 3*q = 5*r + 370. Suppose 5*o = -4*b, 4*o = -o + 2*b. Suppose o = -y - 0 + 13. Calculate the highest common divisor of y and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 8*n**2 - 5*n + 82. Let p be a(7). Let k(r) = -9*r**3 - 2*r**2 - 2. Let w(s) = -27*s**3 - 7*s**2 - 7. Give p*w(m) + 7*k(m).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 372 = 2*h. Suppose r - h = -2*r. Let v = r - 37. Calculate the remainder when v is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2571.838 grams in micrograms?\nAnswer: 2571838000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.0724ms to microseconds.\nAnswer: 84072.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 792 and 18?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -26*x**3 - 16*x**3 + 70*x**3 + 28 + 26*x + 12*x**2 - 29*x**3. Let w be q(14). Solve -6*t + w*t = -6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 + (5 + -3 - 3) and ((-63)\/15 - -4)*-5?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6367, 6381, 6395, 6409?\nAnswer: 6423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*m - 64*m = 43*m + 984. Let j = -215\/4 + 54. Is j not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/13, -6\/505, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/8 (b) -18\/5 (c) -2\/7 (d) -0.16666 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n**3 + 5*n**2 - 6*n + 6. Let c be u(3). Let z = -151 - c. Solve -z*d + 7 = 32 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z - 19*z - 288 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*sqrt(13)*-2 + 0.\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501652 is divided by 250801.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 88*m**2 + 342*m - 456. Let d be c(84). Put 12, 3, d in descending order.\nAnswer: d, 12, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1012\/115)\/44)\/(8\/10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.98 + 0.02. Let r be ((-2)\/12)\/((-4)\/1098). Let h = r + -46. Put h, u, 2\/3 in increasing order.\nAnswer: h, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/6712 and 65\/224.\nAnswer: 187936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**0\/c)*c**(1\/2)*c)\/(((c**(-1\/9)*c)\/c)\/((c*c**(-5)*c)\/c))*((c\/(c\/c**(-2\/3)))\/c)**(-1\/15)\/(c*c*(c**3\/c)\/c*c*c\/c**(-2\/11)) assuming c is positive.\nAnswer: c**(-1081\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6537, 12639, 18779, 24975, 31245, 37607?\n\"Answer: 3*m**3 + m**2 + 6078*m + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 58*i**2 - 64*i - 282. Calculate k(-59).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20112 is divided by 796.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -20*n + 55, 5*n + 216*x - 218*x = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 209 and 180367.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 2*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/19 - 148\/133. Let m = 2.5 - 0. Let n = m - 2. Put n, -2\/5, z in increasing order.\nAnswer: z, -2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 - (-6 + 2 - 22) - (4 - -4)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 25 - 16. Solve 0 = -0*z + n*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1154*k**2 - 676*k**2 - k + 349*k**2 + 1694*k**2 as x*k**2 + g*k + j and give x.\nAnswer: 2521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 7*s - s + (1 - 2 + 0)*(0 + 0 + 2*s))*(-81*s**2 + 20*s**2 - 96*s**2).\nAnswer: -471*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005189 to four dps.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 563 + 2816. What are the prime factors of a?\nAnswer: 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 0.220400278?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -2.9 and 158 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuhu when four letters picked without replacement from {u: 5, h: 5, v: 3}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398679842?\nAnswer: 2, 11, 18121811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 1:13 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 30*a + 34*a - 44, -4*a - 28 = -2*s. What is the lowest common multiple of s and 102?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/57, 692\/5, 2.\nAnswer: -22\/57, 2, 692\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 31808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -584, -2392, -5432, -9710, -15232, -22004, -30032, -39322?\nAnswer: -49880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Suppose 5*q + 0*q + f = 15, -4*q + 2*f = -26. Suppose 0 = q*s + 15 - 27. Solve -3 = s*p - v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21, 34, 47?\n\"Answer: 13*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**4\/q)))\/q)**(2\/9) assuming q is positive.\nAnswer: q**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1075 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 0 + 3)*(g + 0*g - 7*g)*(-54 + 94 - 67) in the form h*g + f and give h.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 + -245\/3. Let m = 7\/4 - 53\/28. Sort j, m, 1 in ascending order.\nAnswer: j, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 928207 divided by -132601?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104343 is divided by 51890?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 3330598\/17 > 195919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*-4 - -1. Suppose -5*h + g*p + 307 = 0, -181 = -3*h - 0*h + 5*p. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4)\/(32\/(-104))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o - 1. Let h(r) = -r**2 - 6*r - 3. Let s be h(-4). Let g(j) = -29*j + 11. Let y(w) = 15*w - 6. Let a(m) = 4*g(m) + 7*y(m). What is s*a(b) + 8*t(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from {z: 1, g: 1, e: 2, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 71*j + 0 + 95*j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75525?\nAnswer: 3, 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**18*r))\/((r*r*r**(-20)\/r)\/r)*r**(-17)\/(r\/(r**(-23)*r)) assuming r is positive.\nAnswer: r**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 171720324?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 divided by 1.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0056308 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73062.92 nanograms in milligrams?\nAnswer: 0.07306292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u + 6. Is (-2)\/u + 524\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3 + (-50)\/150\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 6, -5*s + 35 = -0*a + 5*a. Let y be 2\/(-4) - 1\/2. Let q be 2*(0 + y) + 2. Solve b - 2*j + 11 = -a*b, -5*b + j - 8 = q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 100 - 33 = -5*t, -q = -3*t - 41. What is the units digit of (-680)\/t*(17 - 4\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43576037*l**3*t + 78050594*l**3 - 2*l*t wrt t.\nAnswer: -43576037*l**3 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380936, -380981, -381056, -381161?\nAnswer: -381296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.15 and 327558.09335.\nAnswer: 327558.24335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2\/9 (b) -0.24 (c) -1 (d) -101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63440 in 5, 3\/4, -3, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/5 + 24\/60. Suppose 0 = -3*z + 5*m - 5, -4*z + 32 = -m + g*m. Let n(u) = 66*u**2 + 2*u - 5. Is n(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 554, 2126, 4722, 8342, 12986, 18654?\nAnswer: 25346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -578793 (base 14) in base 13?\nAnswer: -8050c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than or equal to -117478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 64.30265 millilitres?\nAnswer: 0.06430265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55844311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 412 - 424 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*b + 18, -84 + 54 = 5*b + 5*a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 967 and -5.3.\nAnswer: -5125.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 4*m**2 + 7*m - 4. Let a be h(3). Let r(b) = -20 - 2*b + 14 + a. Calculate r(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8271*a**3 - 12463*a**2 + 319*a. Let n(x) = 4135*x**3 - 6231*x**2 + 174*x. Let l(f) = -6*h(f) + 11*n(f). Find the third derivative of l(j) wrt j.\nAnswer: -24846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7 + 0)*(-1)\/(70\/(-1500))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 6*f - 5*f - 4*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535051149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101 - -10?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -4, 145\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/10)\/((-516)\/860) + -1*36720002. Round c to the nearest one million.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 99629055 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2576 - 0.2.\nAnswer: -2576.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -449 + 514. What is the least common multiple of r and 15?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z**5\/5 - 8*z**4 + 4*z**3\/5 = 0. Calculate z.\nAnswer: 0, 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 45 = -33. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/7 and -16\/5835813?\nAnswer: 40850691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -431371 less than or equal to -431374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1703*s**3 - 4*s**2 - 11286 wrt s.\nAnswer: 5109*s**2 - 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 140486.74 - 140502.739982. Let d = 16 + a. What is d rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 2:41 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2)*-1 + sqrt(2) + -5 + sqrt(200) + -4)**2.\nAnswer: -198*sqrt(2) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**3 + 0*v**3 - 9*v + 8*v - 3*v**3 wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**1)\/m*(m**(-2\/7)\/m)\/m)\/(m**(-2\/5)\/(m**5*m))*(m**(-1)*m**(-2\/7))\/(m\/((m\/(m**(-1)*m))\/m)*m\/(m*m**(-5\/2)*m)) assuming m is positive.\nAnswer: m**(93\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(2\/(-8) + 4). Put 3\/8, j, 1\/3, -2 in increasing order.\nAnswer: -2, j, 1\/3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -2*p - 3*j, -j - 4*j = -15. Suppose -52 = -2*d + 5*b, 2 = -5*b + 12. Let i = p + d. Solve -5*x + 3*a = -16, 2*a + i + 14 = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + 3*l - 2)*(2*l**2 + 0*l + 0*l + (0*l**2 - l**2 + 2*l**2)*(-3 + 6 - 2) + 0*l**2 + 2*l**2 + 0*l**2).\nAnswer: 15*l**3 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 4 - 1)*(3*x - 2*x + 11*x) + 2 - 3*x - 2 in the form i*x + h and give i.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2005081745 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (sqrt(3)*2*1 - sqrt(3))) + (-3*sqrt(54)\/sqrt(2))**2 + -4.\nAnswer: -5*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1466 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: 1775 (base 9) to base 12\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 5:11 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 76 = 2*m + 2*m, 3*w - 15 = 0. Suppose -f + m = -2. Solve -4 = -3*r - f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 200 + -185. What is the least common multiple of 33 and h?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*a - 18 = 0, 2*p + 2*a + 4 = -0*p. Let r be (-1)\/(9\/(-6) + p). Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3.62, -1\/3.\nAnswer: -3.62, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 174061439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47135 divided by -857.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 25. Let z(h) be the first derivative of -10*h**3\/3 + 135. Determine z(t(o)).\nAnswer: -40*o**2 + 1000*o - 6250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 12637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22344074*a**5 + 76632132*a**2.\nAnswer: 1340644440*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3 = 0, -r + 5 = -4*a + 4*r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*d - 606, 0 = 4*d - 5*d - s + 309. Let w = d + -268. Calculate the remainder when 128 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(13)*-4)**2*2*5.\nAnswer: 3250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1911 - -1911.2. Which is the closest to -2? (a) 2\/5 (b) 1 (c) 4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -404*j**3 + 9*j**2 - 3*j + 11. Let c be t(-5). Suppose -6*u - l = -2*u - 67679, -3*u = -2*l - c. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s - 20. Suppose 2 = -s*z + 22. Calculate the greatest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = 8*x + 350. What is the fourth biggest value in x, -0.4, 12, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q - 1. Let b(x) = -x. Let d = 105 - 100. Determine d*b(i) + v(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + (-2 + 1*(sqrt(275) + (sqrt(275) - sqrt(275)*-2)) - ((1 + sqrt(275))*1 - (-4 + (sqrt(275)*-1 - sqrt(275))))))**2.\nAnswer: -80*sqrt(11) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15\/4 - 443\/116. Let g = 13.2 + 1.8. Let f = -16 + g. Is w equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 464 + -420. Calculate the remainder when t is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366538 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/4080)\/(106\/(-636)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 2. Let u be 2 - 1 - (-45 + 2). Let v be u\/10 + (-6)\/15. Suppose 3*o - 13 = 5*t, -4*t - 3*o - 16 = -v*o. What is f(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 692.5195mg?\nAnswer: 0.0000006925195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -19. What is the second biggest value in w, 4\/7, 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 3. Suppose -3*p - 3*x + 2*x = -109, -121 = -y*p + 5*x. Let g = -19 + p. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116549681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.2, -51\/7, -1\/3, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46404107 + 3?\nAnswer: -46404104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 3*q + 2. Let m be c(-2). Suppose 4*w - 105 - 15 = m. What is the remainder when w is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15402 and 463872.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -2487*k**3 + 353*k**2 + 4*k + 3046. Find the second derivative of u(a) wrt a.\nAnswer: -14922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82*c**2*j*q + 46*c**2*q - c**2 - 2*c*q + 646*j*q + 64*q wrt j.\nAnswer: 82*c**2*q + 646*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 18, c: 2}. What is prob of picking 4 d?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43588 less than -3?\nAnswer: -2.56412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 4*g - 3. Let z be l(-3). Suppose z = -4*n - n. Let i be ((-24)\/10)\/(75\/(-500)). Solve -4*d = -n*d - i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by -159?\nAnswer: 82\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 p, and 2 a when four letters picked without replacement from gaggpgaaaa?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 66*i**2 - 37*i - 695. Is u(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-3*sqrt(90))\/sqrt(5)*2)**2 + -1).\nAnswer: 3235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 387 + -180. Calculate the greatest common divisor of 138 and j.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c*c\/c**(1\/56)*c)*c)\/c)\/c**27*c\/(c*c**(-19)*c)*c**(-3\/8) assuming c is positive.\nAnswer: c**(-145\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -229*d**5\/10 - 3*d**2 - 168. Let l(t) = -2*t. Calculate x(l(j)).\nAnswer: -5496*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 4\/3 (c) 0 (d) 0.5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -730.83 + 730.9. Which is the nearest to 2\/5? (a) m (b) -352 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 2*u - 3*u - u**4)*(4 - 3 - 2)*(19319 - 19319 - 483*u).\nAnswer: -483*u**5 + 966*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.143 - -2.083. Let z = 0.34 - 0.4. Let d = z - q. Put -5, d, -0.3 in descending order.\nAnswer: -0.3, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.304 times -2.28?\nAnswer: -0.69312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*(91\/13)\/(-7)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-3600)*60*(-116)\/(-12).\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 12, a: 6}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/4*k**4 - 3\/4*k**2 + 0*k + 1\/2*k**3 = 0. Calculate k.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 + 2*j + 1. Let a = 14 + -10. Let m(o) = -o**2 + 5*o - 2. Let p be m(a). Is r(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -55.035. Let z = v + -4.965. Which is the biggest value? (a) 3 (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five quarters of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/30*31\/(2480\/(-900)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*t + 2*t - 4, 5*t = -2*v + 10. Let j(l) = -4*l - 8. Let b be j(-4). Solve v = -4*w - b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.76272 micrometers in meters?\nAnswer: 0.00004076272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27369101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 136. Suppose x = s + 4*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -82*z. Let q(d) = -8*d + 3. What is f(q(h))?\nAnswer: 656*h - 246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*r + 3 = 0, -r = -3*j - 2*r - 23. What is the remainder when 1 - j\/(-12)*-18 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 2*k**4 - 3 + k + 2 - 9*k**3 + 10*k**3 - 2 in the form u*k**2 + o*k**4 + i*k**3 + r + b*k and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -716*g**2 - 851*g.\nAnswer: -1432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r**2 + 5*r - 5*r)*(28*r - 10*r - 8*r) - 2*r**3 + 4*r**3 - r**3.\nAnswer: 101*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uueeeeeeee. Give prob of sequence euee.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.655867 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 5*k = -5*f - 2341, 3*k + f = 3503. Suppose 0 = -4*a - 4*p + 28, 5*p - 13 = a - 20. Suppose -k = -a*g - g. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93206 >= 92947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8*s - 1. Let d(r) be the first derivative of -23*r**2\/2 + 2*r + 1. Suppose 2*o = -0 + 10, 2*o = -u + 7. Give u*d(p) - 8*a(p).\nAnswer: 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 45. Let a(l) = 2*l + 4. Let m(s) = -2*s - 3. Determine x*a(y) + 6*m(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**6)\/(k**(-19)*k)*k**11\/k*k*k*k**(-1\/8)*k)**(-8\/13) assuming k is positive.\nAnswer: k**(-303\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 53cd?\nAnswer: 53cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from lejio.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 205*u**2 + 5*u + 8. Is y(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 9*k + 7. Let z be y(9). Let w(u) = 4*u + 7 - z + 0*u. Let f(n) = -2*n. Calculate w(f(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3534 and 257084364.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33463 + 33463.0050488. Round a to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**5 - 9*y**4 + 4*y**3 - 3*y**2 - 5. Let h(z) = 3*z**5 + 9*z**4 - 3*z**3 + 3*z**2 + 6. Let l(q) = 5*h(q) + 6*r(q). Factor l(a).\nAnswer: 3*a**2*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w - 349. What is o(-44)?\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 82\/5 + 5*10\/(-125).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 1:54 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3460 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29, 138, 393, 866, 1629?\n\"Answer: 12*h**3 + h**2 + 22*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 12:06 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -229*g*n + 4*g + 2735*n wrt g?\nAnswer: -229*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7110335, 7110339, 7110345, 7110353, 7110363, 7110375, 7110389?\nAnswer: 7110405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 11, n: 5, k: 1}.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {y: 2, e: 1, h: 1, r: 1, o: 4}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**3 - 21*g**2 - 18*g**2 + 40*g**2)*(6 - 2 - 1)*(g**2 + 2*g**2 - 4*g**2)*(11 - 12 + 14).\nAnswer: 195*g**5 - 39*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - (12 - 7)) + 5152 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 0*l - 2*l)*(-4*l**2 - 19*l**2 - 2*l**2 + (2*l + 0 + 0)*(3*l - 2*l + l) - 2*l**2 - 2 + 2).\nAnswer: -46*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-12)\/(-7)) - (-45)\/30.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 17*k**3\/4 - 4465*k**2\/4 - 75129*k\/4 - 184743\/4 = 0. Calculate k.\nAnswer: -13, -3, 4737\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 311 + -311. Suppose j = -4*n, p - 6*p + 15 = -2*n. Suppose -3*b + 7 = -2*s, -5*b + 9 = -4*s - 2. Solve 2*f - s = p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w**2 + w**2)*(3*w**2 + 3*w**2 - 5*w**2) + (-44 - 339 - 137)*(9*w - 5*w**4 - 9*w).\nAnswer: 2602*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) - 104\/10. Let t be -2*2\/(-12)*-15. Let m = t - r. Solve m*h = 10 - 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1413 - -3909. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 7*r = -58*r - 696. Let z(m) = -m**3 - 13*m**2 - 8*m + 4. Determine z(r).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 9*i + 1\/3*i**3 + 5\/2*i**2 + 3. Is 5 a factor of r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5597700 to the nearest 10000.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 - (-2 - (-4 - 1)) and 3\/(18\/8)*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.07 + 0.07. Let o = -0.002 + -1.998. Sort d, 1, o.\nAnswer: d, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -23\/5, -1, 1\/2, -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31969640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 7:23 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -1864\nAnswer: -1864.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34473195 a multiple of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 14*l**2 - 16*l - 33. What is j(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(6\/7))\/b*b*(b\/(b*b*b**(-1\/5)*b))\/b)**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.01 (b) -1\/2 (c) -0.4 (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3798*w + 91191. Give r(24).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(4\/5)*j**0*j assuming j is positive.\nAnswer: j**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 16) in base 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + o - 21, -2 = 5*f + 3*o - 35. Find k, given that 12*k - 27\/5*k**f + 12\/5 + 21\/5*k**2 = 0.\nAnswer: -1, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -698, -4\/3, 3, -2\/9, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 70192 and -0.4.\nAnswer: 70191.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10434361 and 8397?\nAnswer: 281727747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 1\/2*y**2 + 5*y - 65. What is q(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2324 and 96124?\nAnswer: 7978292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -46. Let w = h - -25.8. Put w, -5, 2\/3 in increasing order.\nAnswer: -5, w, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 3*u - 36. Calculate the greatest common factor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 24*y**2 - 19*y - 74. Let d be r(23). Is 16 a factor of (4 - 74\/d) + (-4177)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d + 331*d - 120*d + 264*d.\nAnswer: 488*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 328 (base 14) to base 16\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*5\/30*2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*f**2*w**3 + 871*f**2*w + 24*f**2 + 10*f*w - 6025427*w**3 - 2*w**2 + 100*w wrt w?\nAnswer: 72*f**2*w - 36152562*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5006376.6 rounded to the nearest one thousand?\nAnswer: -5006000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/4 (b) 0.03804 (c) 2 (d) 0.3 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 407870 - 54599. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1 - (1 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-66)\/(-55)*(-65)\/(-2). Let g = -116\/3 + u. Which is greater: g or 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(11))*1)**2 - ((sqrt(11) + (sqrt(77)*5)\/sqrt(7) - sqrt(11))**2 + sqrt(11)).\nAnswer: -263 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 4*k + 1. Let h(q) = -q**3 + 38*q**2 + 126*q + 77. Let p(i) = -h(i) + 5*w(i). Let p(l) = 0. What is l?\nAnswer: -2, -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93.69 - 93.49. Which is the smallest value? (a) 5 (b) u (c) -2 (d) -28 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, f: 1, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 264969551 + 24?\nAnswer: 264969575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 983063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -1010001100000?\nAnswer: -1010001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2 = -7. Put 2, f, -5 in descending order.\nAnswer: 2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*((j\/(j\/j**(2\/7)))\/j)\/j)\/j)**(-3\/23)\/((j*j**(2\/3))\/(j\/(j\/((j\/((j*j**1)\/j))\/j)))))**(-10) assuming j is positive.\nAnswer: j**(11800\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 384 - 389. Let l(d) = d**3 + 6*d**2 + 7*d + 4. Determine l(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000101 (base 2) to base 3.\nAnswer: -100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 268d50 (base 14) in base 5?\nAnswer: 320040324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -12*j. Let i(k) = 6*k - 11. Let q be i(2). Let l(x) = -x + 2. Let c(u) = 1. Let s(n) = q*l(n) - 2*c(n). What is s(b(f))?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-1) + (-1 - -1). Suppose -5*v + 3545 + 3080 = 0. Suppose -r - v = -k*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 - 96. Suppose g = -2*z - a*g + 2, 5*z = -3*g + 6. Suppose i - f = 92, 4*f + 192 = -z*i + 2*i. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/3 - 10888*z**2\/3 + 847670*z\/3 = 0. What is z?\nAnswer: 0, 79, 5365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((1*sqrt(220))\/sqrt(4))\/sqrt(5) + ((sqrt(121)*-1 + sqrt(121) - sqrt(121))*1 - sqrt(121))\/sqrt(11)) + 1.\nAnswer: 1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4482058*1.\nAnswer: 0.4482058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*(0 + (sqrt(396) - -4*(-1 + sqrt(396))) + (3*(sqrt(396)*-2 - sqrt(396)) - (-1 + sqrt(396))*-2)))**2*4.\nAnswer: -622080 - 55296*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1451812?\nAnswer: 2, 362953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6) + (84\/(-18) - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**5 + 3*a**4 - 8*a**3 + 4*a**2 + 6*a - 4. Let b(p) = p**4. Let i(d) = -6*b(d) + 2*g(d). Factor i(t).\nAnswer: 4*(t - 1)**3*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -5, -11, -21, -35, -53?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kytcyyttjyttcjtkkt. Give prob of picking 3 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 6:54 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.8 - -8. Let i = 0.48 + -1.6845. Let q = i + r. What is q rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 j when three letters picked without replacement from {q: 7, a: 9, j: 3}.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*h - 1345 = -98*h. Let f = -256 - h. Solve -20 = 9*v - f*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4510 divide 1190801871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m + 120. Let r(i) = -i**3 - 47*i**2 - i + 1. Let v be r(-47). What is the highest common factor of v and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1470 and 3290?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*p = 16, 2*c - 2*p = 5*c - 16. Find the second derivative of -24 + 7 + 4*i - 7*i**3 + 2*i**c + 16 wrt i.\nAnswer: -42*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10201202012 (base 3) in base 14?\nAnswer: 1caa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = q - 4. Let x(z) = -4*z**2 - 3*z - 1. Let d(s) = 9*s**2 + 6*s + 3. Let b(t) = -3*d(t) - 7*x(t). Calculate b(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-36)*2\/(-20)*4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 15 + 26)*(-5*m + 3*m - 3*m).\nAnswer: 55*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -285419011, -570838020, -856257029, -1141676038, -1427095047?\n\"Answer: -285419009*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.10218 - 0.60218. Which is the fifth smallest value? (a) w (b) -3 (c) 9 (d) -2 (e) 12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i**2 + 8*i**2 - 14*i**2)*(38*i + 3*i**2 - 38*i).\nAnswer: 15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -27 + 3. Let w = 12 - x. Solve h = w*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -7*s**3\/3 - 10*s**2 - s. What is the hundreds digit of j(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20\/13 in -22\/23, -0.4, 5?\nAnswer: -22\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2 + g + g - 6*g. Suppose -5*r - 5 = 0, -4*w = -5*w - 2*r + 3. Let t(f) = 4*f. Let s(u) = u. Let m(j) = w*s(j) - t(j). Calculate -l(d) - 2*m(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5119 + 5121. What is the closest to a in -2\/13, 8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3 + -1) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -9462, -1, -1\/5 in ascending order.\nAnswer: -9462, -1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2 = 42. Let z(n) be the first derivative of n**2\/2 - 2*n + 1. What is the least common multiple of z(7) and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p**2 + 207*p**2 + 251*p**2 + 72*p**2 + 298*p**2.\nAnswer: 803*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t**2 - t**3 + 13 - 2*t - 3*t + 0 - 4*t. Let r be u(-10). Suppose -w + r*b = -4*w + 336, 0 = 4*w - 2*b - 472. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y + 45*y - 4 = -44 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -457.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 1. Let c(l) = 4*l + 4. Suppose 5*x + 2 = -3. Determine x*c(v) + 5*r(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 0.41, 1\/25, -3\/2, 0.12, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -72771.1408 and 4.43.\nAnswer: -72766.7108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -19850\nAnswer: 1\/9925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7930 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 82769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -16. Suppose -u*d - k = 3*d - 13, 2*d = -3*k. Let r be 2 - (2 - 5)\/d. Solve 4*p - 2 = r*y + 1, 3*y = 3*p - 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650994355?\nAnswer: 5, 11, 2099, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*x = 43*x + 1488. What are the prime factors of x?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 603, 2399, 5393, 9585, 14975, 21563?\n\"Answer: 599*x**2 - x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + sqrt(2))**2*-1.\nAnswer: -6 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2*k = 12, -5*m + 6*m - 5*k + 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 72 = -0*j. Let r = j - 16. Find the third derivative of -2*n + 0*n + 21*n**5 - 24*n**r + 2*n wrt n.\nAnswer: 1260*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 + 20*n**4 + n**4 + (2*n**2 - 3*n**2 + 2*n**2)*(7*n**2 - 2*n**2 + 0*n**2).\nAnswer: 26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6788088 divided by 282837?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 32. Which is smaller: l or -2\/833?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - l + 28725 = 0, 2*l = 3 + 7. Let p = 172273\/24 + t. What is the common denominator of p and -50?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 5*u**4\/4 + 2*u**3\/3 - u**2\/2 + 2*u - 141. Let p(d) = -6*d**3 + d - 3*d**2 - 1 - 2 + 0. Determine -3*n(w) - 2*p(w).\nAnswer: -3*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, 14.7, 0.05, 0, -3, 14, 32\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -171*x - 72*x + 84*x to the form t + j*x and give j.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 6*l + 7. Let m be u(-5). Let v(d) = -d**3 - 4*d**2 + 6*d + 7. What is the lowest common multiple of m*8 - (-2 - -2) and v(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8.3 (b) 391 (c) -4 (d) 4\/7 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1597569?\nAnswer: 3, 532523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*k - 36, 8 = 3*k - 7. Factor -2*v**5 + 0*v**3 - 2*v**4 + 2*v**3 - 18*v**2 + t*v**2 + 13*v**2.\nAnswer: -2*v**2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1273*i**3 - 8*i**2 + 19*i - 19. Is t(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33837 + 33836.9. What is the third biggest value in j, 1, -11\/6, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16616 is divided by 710.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*x + 4*x - 8, 0 = -3*j - x + 5. What is the biggest value in j, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y + 109. Calculate k(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) 0.003 (c) 1\/13 (d) 0.5 (e) 578\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169 a factor of 10628000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m**2 + 98 - 98.\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3780 + 12*y - 3780.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w = 16*w + 56048 + 45526. What are the prime factors of w?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 19*k - 59. Let y be w(-15). Let m be y\/(-3)*((-372)\/(-44) + -9). What is the fourth smallest value in 0.2, m, -9, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/16 and 3\/2582?\nAnswer: 20656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + 0.1. Let h = u - 0.2. Sort h, 0, -3\/5 in ascending order.\nAnswer: -3\/5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 3, y: 5, h: 3}. What is prob of sequence py?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -34*l**6\/5 - 97*l**5\/60 - l**4\/24 + l**2 - 5. Find the third derivative of f(q) wrt q.\nAnswer: -4896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 + 93. Suppose 3*m = 5*x - 2*m - 200, -h*m - 158 = -4*x. Calculate the remainder when x is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**5 + 5*k**4 - 6*k**3 - 4*k**2 + 8*k = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 70*x - 3. Calculate n(-31).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -1\/2*v**3 + 0 + 5*v + 5\/2*v**2 + 1\/12*v**4. Suppose -7*u + 0*u = -28. Give y(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.45 - 0.11. Let m = -0.16 - t. What is the third biggest value in 2\/15, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 291453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(60)\/sqrt(5)) - (sqrt(171) + 2).\nAnswer: -2*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5712897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2108\/(-139128)*3\/2?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from reakanrrkr.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/x*x)**35\/((x\/x**3)\/(x\/x**(2\/5))) assuming x is positive.\nAnswer: x**(188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*l + 0*l = 704, -3*l + 478 = -2*m. Let q = m + 397. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 5:05 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/766 - -3061\/2298. Let a = 5.04 + -0.04. What is the third biggest value in a, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -14. Let u be ((-6)\/10 - -1) + 7\/b. Is (-2*33\/12)\/(u\/2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1861642 rounded to the nearest 10000?\nAnswer: 1860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 2*z + 10, -174 + 163 = -4*s - 5*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 37b (base 12) to base 9\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/9, -1\/6, 0.5, -2, 2158?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1588.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1814 + 1813.72. Let a = 0.32 - 0.2. Let c = f - a. Sort -1\/3, 3, c.\nAnswer: c, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1539, -6156, -13851, -24624, -38475?\n\"Answer: -1539*f**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272*c + 20 = -276*c + 4*p, -4*c - 15 = p. Let m(j) = 6*j**2 - 5*j - 6. Let l(s) = -5*s**2 + 4*s + 7. Calculate c*m(z) - 5*l(z).\nAnswer: z**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in 1, -77, 48, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 82*z - 208. What is the hundreds digit of k(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-116)\/(-174)*(0 + -2)*6. Sort 0, l, -3 in descending order.\nAnswer: 0, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149\/291 + 15\/97. Let w = 5 - 14. Let f = 7 + w. Which is the nearest to -4? (a) 1\/7 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14671403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.32 - 1.188. Let h = -0.13200042 + p. What is h rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/15)\/q)\/(q**(2\/7)*q)*q**(-2\/23)*q*q**(1\/3))\/((q*q**(-1))**(-29))**12 assuming q is positive.\nAnswer: q**(227\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(-5) + (-4)\/(-10))*485\/(-2328)*48.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1144*k**4 - 219?\nAnswer: 4576*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -34. Solve 0 = -3*l - j*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13541, 9212, 4883, 554, -3775, -8104?\nAnswer: -12433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 15 = -3*w, -w + 183*x + 7 = 188*x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/5)\/((y\/(((y\/(y**4\/y))\/y)\/y))\/y)*((y**(1\/5)\/y)\/y)\/(y*y**(-4\/3)\/y)*(y**0*y*y*y**1\/y)\/(((y**4*y)\/y)\/(y**(-4\/3)\/y)) assuming y is positive.\nAnswer: y**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250625493.\nAnswer: 3, 67, 415631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**3 - 3*d**2. Let k be o(-3). Suppose 4*w - 3*g = -133, -k = 2*w + g - 5*g. Let z = -17 - w. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 12*d = 382. What is the remainder when d is divided by 78\/2 - (51 + -60)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -2 (c) -8 (d) 0.3 (e) 1\/30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 192.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 520*i - 5. What is z(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*t, -2*o - t = t. Suppose o = -13*h + 66 + 142. Suppose m - 25 = -h. Solve 6*z - m = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f + 51. Let x be t(13). Let w(v) = 32*v**2 + 28*v**2 - 10 - 90*v**2 + x*v + 29*v**2. Give w(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*h + 68 = 0, -37 - 34 = -3*r - h. Suppose -k = -5*k - r. Let n = k + 4. Which is bigger: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 3609342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -651 divided by 50812?\nAnswer: -651\/50812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000882 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 1492*m**2 + 117*m - 118. Let q be o(1). What is the greatest common divisor of q and 213?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 1089042.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddndddunffdd. Give prob of sequence fd.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3052 divide 98527716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 12:30 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 2106.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*q + q**3 - 364*q.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(300))\/sqrt(6))\/sqrt(10) + 4.\nAnswer: sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3569074606.\nAnswer: 2, 293, 6090571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 604350773 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -346089*b**2 + 296892*b?\nAnswer: -692178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4412166, -8824311, -13236456, -17648601?\n\"Answer: -4412145*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-3*sqrt(35)\/sqrt(7) - sqrt(605)*-2) + 1*(3 + -1 + sqrt(500)))*-3.\nAnswer: -87*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 283.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3738*q + 549618. What is p(-147)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-two fifths of a millisecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -412de (base 15) to base 7.\nAnswer: -1520066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o**3 + 7*o**2 + 21*o + 18. Let r be l(22). What is r rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 + 25 = -2*l. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 407*m**5\/10 + 41*m**4\/6 + m**3\/6 - 268*m + 1. What is the third derivative of l(y) wrt y?\nAnswer: 4884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8770 is divided by 1752?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7064*h - 2090. List the prime factors of c(-7).\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23808?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 40753813 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 60?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 2*j + (2 + 2 - 2)*(-4*j + 6*j - j) + 3*j + 2*j - 3*j - 4*j + 6*j - 3*j - j + 0 + 8 - 3 as s + d*j and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*f - 189, 4*t - 2*f - 796 = -0*f. Let h = t - 132. What are the prime factors of h?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1892, 3785, 5678, 7571, 9464?\n\"Answer: 1893*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*y**3 - 5*y**2 - 58*y**2 - 60*y**3 + 10*y + 11*y.\nAnswer: 3*y**3 - 63*y**2 + 21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -742, -1674, -3000, -4732, -6882?\nAnswer: -9462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 8. Let p = t - 3. Suppose -p*o + 60 - 20 = 0. What is the greatest common divisor of 50 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -1\/4, -1, -14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z - 597 = -317. Solve 3*k = -3*d + z + 1, d - 6 = -4*k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11010 - -202210011100?\nAnswer: 202210000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/32)\/(35\/28)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 12, -4*o + 4648 = 11*c - 12*c. Calculate the remainder when o is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495*o + 1047 = -146*o. Let p(j) be the third derivative of 0*j - 1\/30*j**5 + 1\/18*j**4 + 0*j**o - 6*j**2 + 0 + 1\/180*j**6. Let p(l) = 0. Calculate l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 12*o + 20 = 32*o. What is the closest to o in -3, -6, 0.06, -0.4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + -2 + 97)*1. Suppose -93*r = -o*r - 4534. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*j + 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 7. Let x = -2 + j. Suppose -2*h + 8 + x = 0. Calculate the remainder when 9 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*w + 11, 1 = -4*w + 21. Suppose h = -2*r + 11, 5*r - 29 + 1 = -3*h. Suppose 0 = -r*a + a + u*o + 240, 4*o = -2*a + 98. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f + 6. Let i = f + 5. Suppose -i*l - 3*o + 4 = 1, -17 = -3*l - 2*o. Calculate the remainder when 17 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-760)\/(-30)*((-42)\/(-8) - 0). Suppose 4*x = 68 + 8. What is the highest common divisor of x and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24, 848, 3230, 7878, 15548, 26996, 42978?\n\"Answer: 126*y**3 - y**2 - 7*y - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 3 = -15. Solve -d + 6 = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 - (-100 + 44)) + (1 - 29)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*n - 0*n - 23, 3*n - 3*t - 3 = 0. Let j(r) be the second derivative of -17*r**3\/3 + 10*r**2 - r. What is the units digit of j(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 12*z - 28. Let q be r(-14). Find w, given that -5 - 5*w - 4*w**2 + 9*w**2 + q*w + 5*w**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1791630 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.63 - 0.13. What is the closest to 0.1 in -2\/11, o, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102665 is divided by 1801.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**3 - 30*z**2 + 80*z = 0.\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74\/29 - -1543\/116. Find the common denominator of (1*-2)\/((-88)\/202) and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -2*b + 1, 0 = -3*b - 5*r + 19. What is the smallest common multiple of 5 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56505 or -55846?\nAnswer: -55846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*b = 87*b - 105. Let h(j) = -j**3 - j**2 - 2*j + 8. Let w(z) = -z**3 - z + 9. Let i(o) = -4*h(o) + 5*w(o). Let s be i(b). Solve -s = -a - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2792.19 - -2773. Round g to one dp.\nAnswer: -19.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 121025*j - 4490. Is i(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 2*v, 0*v - v + 12 = -2*z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 0.5, -0.2, 3, 2.9, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**4\/24 - 11*s**3\/6 - 1289*s**2. Calculate y(13).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-4*y**3 + 4*y**3 - 2*y**5) + 1959929 - 2*y**5 - 1959929 - 1904*y.\nAnswer: -4*y**5 - 1904*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-2)*-3*(-84)\/49. Let w be (-45)\/p*(-3 + 1). Let x be ((50\/(-15))\/w)\/((-2)\/(-30)). Which is bigger: -9 or x?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 45\/2 of a tonne?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v - 18. Let f be r(5). Let h(c) be the third derivative of 27\/70*c**5 - f*c**2 + 4\/21*c**3 - 3\/7*c**4 + 0 + 0*c. Factor h(l).\nAnswer: 2*(9*l - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44\/(-88) + 3705\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + -3 - (0 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, e: 9}. What is prob of picking 3 p?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 18, -3, -34, -75?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((-960)\/(-16))*(-304)\/247?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 - -64?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -6. Let c(v) = 5*v + m*v - 16*v + 6*v. Let p(r) = -r - 1. Let o(j) = -3*c(j) + 2*p(j). Differentiate o(n) wrt n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/19)*g**(3\/2)*g**(-7)\/(g*g*g**(-1\/3)))\/(g**6*g\/(g\/g**(-4\/5))*g)**(1\/30) assuming g is positive.\nAnswer: g**(-8932\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 27, 13, -4, -0.578?\nAnswer: -0.578","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/2 + 5\/6. Suppose 33 = 3*m + 18. Suppose -m*y - 6 = -4*y + o, -4*o + 16 = -4*y. What is the third smallest value in d, -4, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 298 - 738 = 0. Calculate the lowest common multiple of 12 and 4\/(-6) + i\/6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 24. What is the highest common divisor of 143 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 257 (b) 2 (c) -1647\/8 (d) 0 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1404\/(-1287)*77\/(-2*4\/4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 631756 (base 9) to base 8.\nAnswer: 1335034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 633 - 82. Suppose -4*p - 3*l + 1069 = 2*l, 3*l = 2*p - o. Suppose -3*v + 128 = -p. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -4, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*h - 249*h + 1260*h - 242*h - 257*h - 259*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(2) + sqrt(14))\/sqrt(2) + -3.\nAnswer: -3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001483501663 rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -11. Let p be (5 - 7)*10\/55. Which is the biggest value? (a) 4 (b) 2\/7 (c) p (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6)*(-1)\/((-7)\/(-14)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33469604965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1201 - 1177 = 2*y - 4*u, -28 = -3*y + 4*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.1 and -0.53.\nAnswer: -5.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/4*(-6)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1131 - 2013?\nAnswer: -3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -102. Let c = -55 - d. Let n = -269\/1680 - -3\/112. What is the nearest to 0.1 in n, 1\/2, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, p: 2, d: 2}. What is prob of picking 2 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*m - 13*m - 9*m)*(0*m - m + 2*m) + (2 + 3 - 7)*(7*m**2 - 99*m + 99*m).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7 = y, -y - 6 = -1. Let z be (-1)\/2 - (-3338)\/4. Calculate the common denominator of (1\/12)\/(d\/z) and -113\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 10. Let y be f(0). Solve -5 = -g - 5*k, 2*g + 2*k - y = k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 28 (b) 5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 5 + 12)*(0*z - 6*z - z) as l*z + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6756*n + 119704 = -121467 + 58759 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9.13 * -13\nAnswer: -118.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -121536000 rounded to the nearest one million?\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -39*w**2 + 38*w. Let f(j) = 3*j. Give f(b(d)).\nAnswer: -117*d**2 + 114*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millimeter in micrometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 4. Let k(r) = -r**3 - 15*r**2 + 4. Let g = -60 - -45. Let n be k(g). Determine v(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -324304301 + -2?\nAnswer: -324304303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*i + 518 = -137*i. Suppose 4*s + 71 = -57. Let z = i + s. Let u(y) = -2*y + 6. What is u(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-20))**(-18)\/(x**(6\/23)\/x*x*x**(2\/19)\/x*x) assuming x is positive.\nAnswer: x**(149294\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1377*z - z + 666*z - 453096 = -4251*z for z.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -426, -572, -982, -1794, -3146, -5176, -8022?\n\"Answer: -23*y**3 + 6*y**2 - 3*y - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.29005732.\nAnswer: 0.116022928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8741, -16681, -24621?\nAnswer: -32561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 + 3*t + 9. Let p be g(3). Suppose -2*a = -4*h + 292, -h - 5*a = -5*h + 292. Let y = h - p. Solve 0 = 3*w - 4*u + 7, -5*u - y = w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 6:36 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 29901060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10997814.\nAnswer: 2, 3, 1832969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 5:55 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -2.99988. Round a to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*(120\/(-14))\/1. Suppose -4*n + 3*j + j + c = 0, -j + 45 = 4*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6486 and -145\/468432?\nAnswer: 506374992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(-9\/4)\/m))**(-7) assuming m is positive.\nAnswer: m**(-147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z + 12. What is t(4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3210813 (base 10) to base 6.\nAnswer: -152452513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and -2665024689384.\nAnswer: -2665024689378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 166736829 to the power of 1\/2, to the nearest integer?\nAnswer: 12913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -82 and -21.5.\nAnswer: -103.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.1 + -4. Let r = 18 - 16.9. Let f = r + -1. Is o > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568\/(-3124)*88\/896.\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + y + 14 = 0, -2711*c - 5*y = -2714*c - 8 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 4*y**2 - y + 5. Let i be x(4). What is the common denominator of -55\/9 and i\/6 + 299\/(-12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjk when three letters picked without replacement from jjkjkk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 564 + -389. Suppose -4*c = -2*p + 34, 27 + 61 = 4*p - 3*c. Calculate the greatest common factor of w and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k - 3*o - 3 = 0, -2*k = -o + 14. Let b = k + 16\/3. Sort 2, b, -4.\nAnswer: -4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 87*p + 11*p + 31*p)*(-1 + 2 - 2).\nAnswer: -129*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134103 + 24?\nAnswer: 134132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -29. What is the lowest common multiple of 8 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(8\/(320\/170))*2\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6794815 is divided by 1799?\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97.98 + 72.98. Which is the closest to -1? (a) g (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, -3\/7, -6, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 136*g**2 - 3 + 1433*g**2 as t + b*g**2 + h*g and give b.\nAnswer: 1297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -3*z**2 - 19*z - 74. Let w be f(-3). Let u(y) = -y + 1. What is u(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 12*r**2 + 204*r + 4. Let i be k(-17). Let q(d) = -d**2 + 4*d + 6. Calculate q(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - c - 1 = -a, -5 = 5*c. Sort a, -3, -2 in ascending order.\nAnswer: -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -6) + -9 - (8 + -11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3212140 * -0.6\nAnswer: -1927284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336153 - 2850.\nAnswer: -339003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123788444*c**3 + 4215628*c**2 + 2.\nAnswer: 742730664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/1)\/4)\/1*-7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -3\/2 (c) -2 (d) 0.212 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twz when three letters picked without replacement from gzzzzttztgzgggwgt?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z = 2*b - 6, 2*b = z + 7. Let v be 6 - ((0 - 0) + z). Let w = v - 7. Sort 3, w, 1.\nAnswer: w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 301 + -298. Let w(j) = j - 41. Let y be w(18). Let h(g) = g**2 + 24*g + 28. Let u be h(y). Sort o, 10, u, 0 in descending order.\nAnswer: 10, u, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, g: 4, e: 2, t: 1, i: 3, m: 1}. What is prob of sequence ti?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13161555 is divided by 572240.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87552 and 67982.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2328 and 895989.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 42\/15 + -2 + (16490850\/125)\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 37*w - 14. Let g be j(1). Which is the smallest value? (a) 8 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**29\/(l\/(l\/(l**(-2\/5)*l)*l)*l) assuming l is positive.\nAnswer: l**(142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*p - 0*w - 624, 2*w + 202 = p. List the prime factors of p.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + (1 - (0 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -48. What is the remainder when 9 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-9)\/192*-2). Let l be (-1 - -5) + (88 - 104). Let z = l + u. Solve s = -3*s - z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*s + 110 + 331 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/(-8) - (-6 + -1). Let x(j) be the first derivative of -2*j**s + j**4 - 2\/3*j**3 + 0*j + 2\/5*j**5 - 5. Factor x(m).\nAnswer: 2*m*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by -4299?\nAnswer: 45\/1433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76499074 or -152998145\/2?\nAnswer: -76499074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.03 (b) -2 (c) -18 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3335*s**2 - 2548*s**2 - 390*s**2 - 374*s**2.\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-100)\/1185)\/(-10))\/(((-63)\/(-3))\/(-63)).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9613 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 2*q**2 - q. Let s be o(3). Let m be s\/(-3) + 9 - -4. Let f(b) = -14*b - 5. Let g(n) = 5*n + 2. Calculate m*g(k) + 4*f(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0657 less than 0.00097447?\nAnswer: -0.06472553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((52486\/46)\/163)\/((-1246)\/4).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a - 2?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-950)\/26 + (38916\/(-611) + 64 - 20\/26)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/h**(1\/7)*h**0)\/(h**4\/(h\/((h\/h**(1\/4))\/h*h))) assuming h is positive.\nAnswer: h**(-25\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 496 and 360?\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -41 and -35952.\nAnswer: -35993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16967 and -0.569.\nAnswer: -9654.223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 9:10 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-11))**(-50)*d**(2\/45)\/(d**(-2\/111)\/d))**(-50) assuming d is positive.\nAnswer: d**(-9175190\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*-1 - (5 - 8). Let k(t) = -t**3 - 5*t**2 + 4*t - 11. Let a be k(l). Let s be (1\/a)\/1*0. Solve s*x + 3*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158496376.\nAnswer: 2, 131, 151237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(588)*-5).\nAnswer: -sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 404612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -119953, -239828, -359703, -479578?\n\"Answer: -119875*c - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 2*x + 1066. Let w = 420 + x. Let 8\/11*j + 2\/11*j**w + 8\/11 = 0. What is j?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -37463 and -37470 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:41 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g - 129 = 22*g - 40*g - 612 for g.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 440250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 7 = -18*a + 22*a, -5*a = 3*d + 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8292\/(-28))\/(-3) - (-4)\/14. Suppose -m - 97 + x = 0. Solve -k = -2*k + m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/55)\/((-4)\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1318 + -1366 + (0 - 1).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k - 35*k = -4224. Does 33 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216525 (base 8) to base 3.\nAnswer: 10201012101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -1\/40, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 479*q + 8 + 4 in the form n*q + k and give n.\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1773490, -1773427, -1773322, -1773175, -1772986, -1772755?\n\"Answer: 21*p**2 - 1773511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.1*3206.781.\nAnswer: -29181.7071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/17 + 65\/119. Let v = 1.1 + -0.1. What is the nearest to v in b, 5, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*u + 409487, -22*u = -2*h - 18*u + 272986. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-1\/3))\/(z**(4\/9)*z))**(6\/17)\/(z\/z**(1\/8)*z\/z**(-1\/8))**(-2\/9) assuming z is positive.\nAnswer: z**(80\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10628100 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7267 and 338?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 2*v**2 - v. Let a = -24 - -22. What are the prime factors of q(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/10 - (-87)\/270\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 2*w**2 - 2*w**2 + w**2 + 0*w**2 + 0*w**2 + (w - 1 + 1)*(-1 - 2*w + 1))*(3*w**2 + 80*w**3 - 49*w**3 + 11*w**3).\nAnswer: -84*w**5 - 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-246464977.\nAnswer: -1232324885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 777144 + 1578 - 12*c**2 + 10*c**2.\nAnswer: -2*c**3 - 2*c**2 - 775566","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 9:14 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -22. Let i(z) = -5*z**2 - 6*z - 1. Let w(l) = -14*l**2 - 18*l - 4. Let c(s) = d*i(s) + 6*w(s). What is the units digit of c(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 417 + -410. Let r be 42\/(-147) - 33\/n*-6. Solve 4*x + r = -5*k + 2*k, 2*x - 12 = 5*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459043471?\nAnswer: 71, 1031, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 2*n + 1. Suppose -4*p = 3 - 11, 3*v + 3*p - 3 = 0. What is f(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 487704.\nAnswer: 9266376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9540 and 1938870?\nAnswer: 205520220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -9 - (-12 - (11 + (-30 - -32)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -267 (base 10) to base 14\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**3 - 4*o**2 + 5*o + 1. Let f(z) = 5*z**3 - 2*z**2 + 6*z + 1. What is -7*d(v) + 6*f(v)?\nAnswer: 2*v**3 + 16*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*q + 5*r, -43*q - 4*r + 55335 = 55245 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-312)\/(-12))\/182)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.431 rounded to 1 dp?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.2 (b) -4\/5 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 13*s**2 + 11 - 3*s**2 - 23*s + 3*s**2. Let h be 4 + 6\/(-3) - -2. Let w(d) = -5*d**2 + 8*d - 4. Let f(a) = h*c(a) + 11*w(a). Factor f(o).\nAnswer: o*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 70012 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-3))\/2 - (2 + -13). Let t be -4*((-1)\/1 - (-26)\/b). What is the tens digit of (-162)\/t*((-10)\/6 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:18 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - 68. Let z = f - -227\/3. Let h = -90 - -108. Which is greater: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5650 is divided by 2819?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*c = 2723 + 2302 + 2784 + 2764 for c.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 2*f + 5. Let d be l(-5). Let p = d - -35. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(20\/3)*r*r**(6\/5)*r)\/((r\/r**(2\/51))\/r*r*r\/(r*r**(-12))) assuming r is positive.\nAnswer: r**(-263\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 628203, 1256407, 1884611?\n\"Answer: 628204*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 548*i**2 + 4 - 520*i**2 - i in the form s*i**2 + j*i + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 7\/4, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3 + 220*i**2 + 2420*i = 0. Calculate i.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -172*y**3 - 5*y**2 - 57*y - 110. Is 42 a factor of n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6 from -0.078356.\nAnswer: -0.678356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 1:05 AM?\nAnswer: 259","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3, 221 = 6*p - p - 2*d. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 divided by 3?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - a + 32 = -3*a, 26 = 2*x - 5*a. Suppose 17*w = x*w - 3. Let r(u) = 6*u. Let v(z) = 13*z. What is w*v(i) - 7*r(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5505 and 0.08.\nAnswer: 440.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 4*t + t**2)*(4*t - 2*t - t) + 97*t**2 - 1277*t**3 - 97*t**2 + 267*t**3.\nAnswer: -1009*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 13. What is the nearest to 0 in 2\/7, 5, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10338.4 + -10355. Which is the closest to h? (a) -1 (b) -9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.78*0.06\nAnswer: -0.4068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2933609 - -295642.\nAnswer: 3229251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 41*f**3 - 3*f**2 + 4*f - 3. Suppose -5*o + o + 8 = 0. Is u(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/20)\/(-8 - -7)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 3 (b) -6 (c) 352 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24971 + 10698. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1424227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 2. Let t be y(0). Let l(x) = -18*x + 1. Let m be l(t). Suppose m = 4*a - 23. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**4 + 368*t**3 + 756*t**2 - 368*t - 752 = 0?\nAnswer: -2, -1, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1064, -1063, -1062, -1061, -1060?\nAnswer: -1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 186912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14614 (base 9) in base 10?\nAnswer: 9976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 - 3074 - 4*t - 4*t + 3135. Let c be z(-18). What is c rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**5\/20 + u**4\/2 + u**3\/3 - 7*u**2\/2 + 4*u. Calculate the remainder when 39 is divided by t(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.06, 5, -2\/25, -1 in increasing order.\nAnswer: -1, -2\/25, 0.06, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 2. Let m be 5 - 28\/6 - (-496)\/(-12). Suppose 225 = 4*w + w. Let d = m + w. Determine h(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2032425 (base 6) to base 11\nAnswer: -67523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.11 and -0.1778.\nAnswer: -0.0678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 69*v**2 + 135*v + 58. Let l(k) = -4*k**3 - 208*k**2 - 404*k - 176. Let h(m) = 3*l(m) + 8*o(m). Factor h(d).\nAnswer: -4*(d + 1)**2*(d + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.66537 rounded to 2 decimal places?\nAnswer: 4.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, n: 6, j: 1}. What is prob of sequence jn?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 2*s + 2. Let u = 1 - 4. Let o be 20\/(-6) + (-1)\/u. Let w be j(o). Sort w, 1, 0 in decreasing order.\nAnswer: 1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.35 - 5.742. Let t = b - 0.008. Let o = t - 4. What is o rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-50)\/(-4))\/((-4)\/(-8)). Suppose 29*h = g*h + 20. What is the remainder when 14 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 2:47 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003671 to four decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 36. Let r be b - 5\/(15\/9). Let v = 30 - r. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t - 96573 - 92937 + 189510.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m - 51*m - 9*u = -9, -3*m + 10 = -4*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/120 + z**5\/30 + z**4\/12 - 25*z**3\/6 + 6*z**2 - 6*z. What is the units digit of k(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**6\/36 - s**5\/15 - 2*s**3 + 6*s**2. Let b(i) be the first derivative of u(i). Find the second derivative of b(c) wrt c.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1aab193 (base 13) in base 2?\nAnswer: 100001110000100110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15736 + -15518.681. Round p to 0 decimal places.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w + 29. Let j be o(4). What is the remainder when 40 is divided by (j - (-21)\/1)*(-1)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3247 divide 98260714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -62. Let p(b) = -2*b**2 + 11*b - 12. Let q be p(d). Let f be q - -4 - (-36)\/32*2. What is the fourth smallest value in -0.1, 3, f, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, 2\/5, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 77. What is the highest common factor of 400 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 7:03 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1359 + p**2 + 1723 - 642.\nAnswer: p**2 + 2440","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.132074 millilitres to litres.\nAnswer: 0.008132074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, -0.6, -0.0397, -5, -2\/7, -3\/2, -30\/11?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 393584688 divided by 3514149?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15932212687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 1 + 0*j**3 + 5*j**3 - j**3 + 0*j**3. Let p be m(1). Solve -6 = -5*c + v + 8, -p*v = -5*c + 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14121 - 214054?\nAnswer: -232215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 5. Suppose 2*w - w + q = 0. Let p(i) = -8*i + 70. Let l be p(8). Sort 2, l, w in descending order.\nAnswer: l, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - t = -31205, -5*w + w - 3*t = -41610. List the prime factors of w.\nAnswer: 3, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 114 = -2*j. Suppose 3*o - j - 169 = 0. Let s = o - 44. What is the remainder when s is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*j + 25. Let t = 80 + -64. What is the remainder when 2\/(-4) - (-242)\/j is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxmiico. What is prob of picking 1 i, 2 m, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -3, 351, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*w - w. Suppose 3*l + 3*z - 18 - 6 = 0, -l + 2*z + 17 = 0. What is the remainder when 3\/4*(w + 24) is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -58, -139, -260, -433, -670, -983, -1384?\n\"Answer: -2*h**3 - 2*h**2 - 33*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 11:34 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4882 (base 12) to base 15.\nAnswer: -2642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 6. Let t be o(-6). Let a be 7\/(-2) - (-2)\/4. Let i = a + t. What is the remainder when 8 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001121358 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i - 1. Let s be (770\/(-8))\/1 + (-11)\/(-44). Let q be 12*6\/s - (-14)\/8. Determine r(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-21)\/(-7))\/(-3))\/(2\/12). Let q = 6 + k. Suppose 4*c + 28 = -q. Which is greater: c or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 - -18893. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4))**18 assuming c is positive.\nAnswer: c**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 981711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(sqrt(68) + -2))**2.\nAnswer: -512*sqrt(17) + 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b - 4. Let y(g) = -g + 1. Calculate -w(z) - 2*y(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 289*m*u**3 - 101*m - 691*u**3 + 3117*u wrt u.\nAnswer: 1734*m*u - 4146*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 15. Let f be 0 - (t + (3 - 3)). Let b = f + 1. Calculate the least common multiple of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75655 (base 8) in base 14?\nAnswer: -b777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3526021 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93792 and 11358.\nAnswer: 177548256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/9)\/((20\/15)\/(-4)). Let o be 19\/4 + (-3)\/4. Is r greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 215 = -5*g, 7*g + h - 2454 = -2483 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**3 + 67*q**2 - 7 + 69*q**2 + 3*q**3 - 124*q**2 + 2*q to the form a*q**2 + y + m*q**3 + j*q and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 5.9. Suppose -4*m = -5*m - 3. Let u = -25887 + 25888. Which is the nearest to o? (a) 5 (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (-2 - -27 - 11)) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 - 3*l. Determine i(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.0623683 to 3 dps.\nAnswer: -15.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110751*f**4*m - 30*f**4 - 443286*m - 11 wrt f.\nAnswer: 443004*f**3*m - 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.24 (b) 0.5 (c) -1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-136)*2*5\/(-15)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704143929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihkhqkkikkhihiq. Give prob of picking 1 k, 1 q, and 1 h.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -137*i**3\/6 + 6*i**2 - 132*i. What is the derivative of t(h) wrt h?\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 1938573?\nAnswer: 1938568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (870\/261*18\/(-50))\/((-30)\/(-80))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 525697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 2*w - 4. Let h be q(6). Let p = -21 - h. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/184599, 0, 3\/4 in ascending order.\nAnswer: -2\/184599, 0, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 16915?\nAnswer: -16912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 121\/(3 - 608\/204). Let z = o + -61771\/10. Let k = 42649\/6 + -7124. What is the common denominator of z and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + s + 244 = 3*s, -4*g - s = -948. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -3*j**2 - 7. Let w(g) = -g**2. What is w(k(t))?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -16*l**3 - 49*l**2 - 24*l + 21. Let x(z) = 7*z**3 + 23*z**2 + 12*z - 11. Let g(u) = 3*s(u) + 7*x(u). Determine g(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19922\/(-1106) - (-79)\/6241.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724 at least as big as 719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 6*g - 1221. Let z be i(32). Which is the nearest to 1\/2? (a) -2 (b) 15.6 (c) z (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1135 = 5*p, -4*u = 2*p - 931 + 53. Let d = u - 158. Calculate the highest common divisor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 12 = 2*t - 0*f, -t = -f. Find the third derivative of -o**3 + 4*o**t + o - 2*o**2 - o wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 4*o**2 - 5*o - 4. Let i(a) = 2*a - 3. Let j be i(4). Let p be c(j). What is the units digit of (p\/8)\/((-3)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**5\/20 - 7*o**4\/12 + o**3\/2 - 21*o**2\/2 - 79*o. Let g be h(7). Solve 23 = t - 4*b - g*b, 0 = 4*t - 2*b - 22 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 5:15 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vilp when four letters picked without replacement from {l: 1, v: 3, k: 4, i: 3, p: 7}?\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*p + p + 84 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 9:47 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t + 2. Suppose 3*o + 12 = 6*o. Suppose 4*b - 12 + o = 0. What is i(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (-20)\/(-6))\/(6\/729). Suppose -2*l + 2 = -0. Suppose v - l = 17. What is the highest common factor of m and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1348789 weeks in minutes?\nAnswer: 1359.579312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -63511.61 rounded to the nearest one thousand?\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -5.6. Let a = 1.994 - -0.006. What is the second biggest value in 4, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5222*b - 5497*b + 9179*b.\nAnswer: -1540*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 41*c - 190. Let d be g(35). What is the second biggest value in d, 0.4, -3\/5, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 22. Suppose 799 + 1031 = 2*v. Let o = -906 + v. Calculate the remainder when b is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*m**2 + 300*b*m + 2*b + 2418*m**5 - 730 wrt m?\nAnswer: -2*b + 48360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2910, -5822, -8734?\nAnswer: -11646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/31? (a) -5\/4 (b) 0 (c) -1\/20 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*b + 16 = 0, c = 2*b - 7 + 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**6\/1140 - 2*a**5\/285 - 5*a**4\/228 - 2*a**2 + 23*a. Factor t(s).\nAnswer: 2*s*(s - 5)*(s + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (8 + -10 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.1, -143.65, 5\/31 in decreasing order.\nAnswer: 3.1, 5\/31, -143.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3.649 - 102\nAnswer: -98.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1270055085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 110?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/420 and -169\/228732.\nAnswer: 1143660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 56, 1\/3, -0.25362, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d + 21. Let y be j(2). Let o(q) = -q**3 + 8*q**2 + 15*q + 22. Is 38 a factor of o(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 703.\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.02*1.\nAnswer: 3.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3908202 and 1827005.\nAnswer: 449443230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 98*l**2 - 26*l**2 + 20*l**2 + (5*l**2 - 4*l**2 + 2*l**2)*(-1 + 2 - 2)*(-3 + 1 + 1).\nAnswer: 95*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/23, -67\/8, -2.4, 33?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 10:03 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2496*y + 200277 = -91755 for y.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*r + r + 34*r)*(2 + 433*r - 869*r + 442*r).\nAnswer: 96*r**2 + 32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s + 12 = 27*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5581967706.9 and -129.\nAnswer: -5581967835.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 1)*(5*q**4 - q**4 + 3 + q**3 - 5) in the form i*q + m*q**3 + p*q**4 + a*q**2 + v and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 108*o**2 + 3209*o - 888. Calculate q(-30).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 292951037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**7\/735 + x**6\/84 - 2*x**5\/105 + 89*x**2\/2 - 109*x. Let f(a) be the first derivative of y(a). Factor f(s).\nAnswer: -2*s**2*(s - 4)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1592 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 3\/5 (b) -0.4 (c) -51.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (182\/(-35) - -4)\/(28\/(-20))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 21*q**2 + 22*q - 30. Let o be m(20). Solve -s + o*s = 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 - 0.074. What is r rounded to 4 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 - -847\/8. Let p = 279 + -268. Which is the fourth smallest value? (a) o (b) 1\/4 (c) 2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7*((-36)\/(-220))\/((-147)\/(-70)). Let j = 34.8 + -21.8. Which is the nearest to j? (a) u (b) 4 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1408 and 78672?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/27 and (-66)\/(-12) - 6 - (-1)\/(2604\/1172)?\nAnswer: 11718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3024899 - 29*v - 3024899.\nAnswer: -29*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + ((-961)\/7 - 0). Let a = x - -138. Let y = 0.1311 + -0.4311. What is the fourth smallest value in y, a, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 726822 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 + 0*n**2 - n**2 + n**2 + 0*n**2 + 0*n**2 + (7*n - 3*n - 2*n)*(-5*n - n + 7*n) - n + 1 + 152*n**2 + 73*n**2 - 81*n**2.\nAnswer: 146*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a milligram in micrograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/5764 and -109\/18.\nAnswer: 51876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6531, -25984, -58421, -103854, -162295?\nAnswer: -233756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-31))**(-3\/10))**(2\/19) assuming l is positive.\nAnswer: l**(93\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5396246 smaller than 5396245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1487*p**3 + 12*p + 6. Let z(a) = -2976*a**3 - 22*a - 11. Calculate 11*h(w) + 6*z(w).\nAnswer: -1499*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -1) + 6\/(-2) - 2. Let d be 1\/f - 104\/(-6). Suppose -4*t = 2*j - 38, 0 = 5*t - 4*j - 11 - d. Calculate the least common multiple of t and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 3*a. Let s be -1*(3 + 1)\/(-2). Suppose y = s*c - 20, -2*c = -3*c + 5*y - 8. Solve 0 = -a*v - 4*v - c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - d. Suppose 4*y - 5*b - 679990 = 8*y, d = 3*y + 4*b + 509992. What is y rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4223\/18 - -236. Let r = -18584 - -631767\/34. What is the common denominator of r and s?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 602*i - 593*i + 63 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t - 8. Let r(m) = 1. Let k(s) = -s**3 + 11*s**2 - 20*s + 11. Let g(b) = -k(b) - 6*r(b). Let d be g(9). Let w(l) = 1. What is d*j(f) + 8*w(f)?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - i**2 - i. Let y(t) = 16*t**3 - 48*t**2 - 48*t. What is 48*m(g) - y(g)?\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f + 30 = 22*f. Suppose -3*z + 4*o = -z - f, -4*z + 4*o + 60 = 0. Solve -5*u = z + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 3*l**2 + 15 - 28)*(l + 0*l - 8*l).\nAnswer: 7*l**3 + 91*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 67685\nAnswer: 1\/67685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 957*t + 2879. Determine x(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (59 + (-10 - (24 + 0) - -17))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*v - 36 = -680*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 143 = 3*g, 4*g - 4*b + 61 = -151. What are the prime factors of 2424\/28*g\/((-7)\/1)?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*h**2 + 20*h**2 - 4*h**2 - 13*h**2.\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 2*p. Let d(b) = 2*b**2 + 36*b + 20. Let c be d(-8). Let h be -20 - (c\/(-42))\/((-2)\/3). Let j(s) = -3*s**2 - 5*s. Calculate h*k(n) - 6*j(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 less than 252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -381, -747, -1117, -1491, -1869, -2251, -2637?\n\"Answer: -2*r**2 - 360*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 5*v - 8, 16*a - 3*v = 13*a + 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12245 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86680048 and 259.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 19*h + 34. Let j be x(20). Let o = 161 + j. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5040, 10094, 15170, 20274, 25412, 30590, 35814, 41090?\n\"Answer: l**3 + 5*l**2 + 5032*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 3472636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 200 + 285?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22222200021011 + -10?\nAnswer: -22222200021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxtx when four letters picked without replacement from xtxxttxx?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 282 and 332666.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37964?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18037 = 344*d + 56*d + 226*d + 12637 for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(176) - sqrt(63)\/(sqrt(9)*1 + sqrt(9)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + -1 + -1 + -5*sqrt(1053)*-2 + -2 + sqrt(78)\/(sqrt(12)\/sqrt(2)) + -3)**2.\nAnswer: -1400*sqrt(13) + 130049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3)\/(8\/144) + -1. Put -2, 3, i, -4 in descending order.\nAnswer: i, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-10)*(-8)\/((-288)\/(-60))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -606240 = -3*t + 3*y - 102675, 2*t - 335728 = -y. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 30. Let q(s) = -4*s**2 + 10*s + 10. Let m(h) = 5*h**2 - 11*h - 11. Let p(l) = 3*m(l) + 4*q(l). Calculate the least common multiple of 9 and p(r).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**6\/45 + d**5\/6 + d**4\/2 + 7*d**3\/9 + 2*d**2\/3 - 3*d. Factor x(k).\nAnswer: 2*(k + 1)**3*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(3 - 3 - 1)*(-1 + 6 + 2)*(-2*n + 0*n + 5*n).\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29760 is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -75, -1\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bppbpfhpglffbffpggfb. Give prob of sequence ff.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8965*p + 17904. Calculate g(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23, -34, -51, -80, -127, -198?\n\"Answer: -i**3 + 3*i**2 - 13*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3306673 (base 10) to base 11\nAnswer: -1959397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.335409 to 2 dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 0)*(-9 - c + 9)*(-1 + 1 - c) - 3 + 2*c**2 + 3 + (2*c - 1 + 1)*(0*c + 3*c - c) to the form v + b*c**2 + h*c and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-124)\/(-480) + (-2)\/16*1. Which is the second smallest value? (a) d (b) -3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 4. Let o be -1*(-6 - (-1 - -2)). Let u(z) = 2 - 3*z - 4 + 4*z + o. Calculate -4*p(j) + 3*u(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1384 = -400. Suppose 2*i = v + 244, -4*i + z = -v - 0*v. Suppose 0 = -u - 4, -i = -a - 3*a + u. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -36*d + 302. What is l(7)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 5. Suppose m + 1 = b. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -7*y**5\/60 - y**4\/6 - y**3\/6 + 624*y**2 + 2. What is i(-4)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214202520 divided by 147?\nAnswer: 1457160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 + 314*m - 1319. Give r(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**3)**(-1\/60)*k**(-8)*k\/k**(2\/17) assuming k is positive.\nAnswer: k**(-3613\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.292 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14749\/343 - (-16 - -6).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -102, -133, -164?\n\"Answer: -31*g - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/729 and -51\/11411.\nAnswer: 8318619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 5.3, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/3))**9 assuming o is positive.\nAnswer: o**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59, 49, 15, -55, -173, -351, -601?\n\"Answer: -2*w**3 + 4*w + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9443300 rounded to the nearest one hundred thousand?\nAnswer: 9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7466278507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -2\/3 (c) 2\/13 (d) 25594\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, t: 3, q: 3, k: 1, y: 3, c: 3}. What is prob of sequence fkqq?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/5 + 4*p**3 + 16*p**2\/5 - 384*p\/5.\nAnswer: -2*p*(p - 8)*(p - 6)*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11423 is divided by 2740.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 c when three letters picked without replacement from vvtcoccctvovv?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 3. Let y = -19.4038 + -6.5962. Which is the third smallest value? (a) -2\/5 (b) y (c) 2\/7 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*q = 17928, -2*q = -4*r + 8*r - 35856. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*k*r**4 + 469*k*r**3 - 6*k*r**2 + k*r + 3*r**2 - 8 wrt r?\nAnswer: -96*k*r + 2814*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -216, -0.4, -65, -2, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -234, -1018, -2322, -4146, -6490, -9354, -12738?\n\"Answer: -260*w**2 - 4*w + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -10\/15903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2097797?\nAnswer: 13, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/11 + 406*l - 71968\/11.\nAnswer: 2*(l - 16)*(l + 2249)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (14 - 77) + 6?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v - 4. Let u(c) = -5*c + 2. Let b(l) = -2*s(l) - 4*u(l). Let z(h) = 241*h - 10. Calculate b(z(d)).\nAnswer: 482*d - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 4*s**2 - 5*s**2 + s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5 - 7 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 3*j**4\/8 + 3*j**3\/2 - 3*j**2\/4 - 9*j\/2 + 15. Factor b(s).\nAnswer: 3*(s - 1)*(s + 1)*(s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*q + 3*v - v, 3*q - 20 = -2*v. Suppose k + 27 = 4*o + 4, -4*o + 32 = -4*k. What is the smallest value in -0.4, q, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 29\/2 + 3\/6. Suppose 4*f - f - t = 0. Let l be -1 - (10 - -2)\/(-3). Solve -k + l*j - 1 + 5 = 0, 0 = f*k + j - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 39 + 140\/20 + -9?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbblbbbllllbbbbblbg. Give prob of picking 1 g and 2 b.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.29 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1293436 by 3.\nAnswer: 1293436\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3 - 23 = 0. Let t(o) = o**3 - 6*o**2 - 2*o + 4. Let h be t(c). Let y = h - -45. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + 244. Let x = o - 325.99851. Round x to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2233 and 616?\nAnswer: 17864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2600 = 2*j - 2*k - 2610, -9*k = -5*j + 37 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*f - 4*f = 12*f + 104085. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -50 - 2*p - p**2 + 0*p**2 + 9*p + 51. Let y(t) = -2*t. Let f be y(-3). Let a(m) = -3*m**2 + 20*m + 3. Give f*a(b) - 17*q(b).\nAnswer: -b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*v - 36, 5*j + 2*v + 50 = -24. Let r = -18 - j. Let a be (-33)\/r - (-8)\/(-16). Calculate the greatest common divisor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103283 (base 12) to base 14.\nAnswer: 689d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*i + 19 - 6 = 0, -4*y + 4*i = -28 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 8:58 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 11:46 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.13 - -22.7. Let h = m - 0.67. Let i be (-2)\/(-3)*3\/(-5). Put i, 1, h, 0 in ascending order.\nAnswer: i, h, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2147*o + 1077*o + 1073*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106339140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -10*g**5\/19 + 226204*g**4\/19 + 9195768*g**3\/19 + 5483468*g**2 + 11194534*g = 0?\nAnswer: -19, -13\/5, 0, 22661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2752 + -1497. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.9069 + -0.0931. Which is the closest to -26? (a) y (b) 2\/7 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1da (base 16) in base 14?\nAnswer: -25c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -155386, -155384, -155382?\n\"Answer: 2*k - 155388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3033142 rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3)*y)**(1\/6))**42\/((y**(-2)*y)**(2\/5))**(-3\/8) assuming y is positive.\nAnswer: y**(691\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(5 + -3*(sqrt(704) + -2)))**2 + 1.\nAnswer: -2112*sqrt(11) + 25824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yydddddoyyyoyy. Give prob of picking 2 o and 1 d.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Suppose n + d*n + z = 57, -2*n + z + 33 = 0. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 0 + 177*r**2 + 265*r**3 + 2 - 87*r**2 - 93*r**2. Does 11 divide a(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -552a31 (base 13) in base 16?\nAnswer: -1e9992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 18 - 153. Calculate the remainder when ((-21)\/4)\/(39\/2288*-4) is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-524)\/(-165) + -2 - 2\/3 and -39\/121.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*d**3*s - 413*d**3 - 11*d**2*g**2 - 4*d*g*s + 4*g**2*s wrt s.\nAnswer: 7*d**3 - 4*d*g + 4*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.621 * -29.957.\nAnswer: -48.560297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3*o, 0*t - 3*o - 5 = -4*t. Suppose -4*i = 3*b - 26, -3*i - 6 = 31*b - 33*b. Solve -t*x = -5*h + 30, -14 + 4 = -i*h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11705694 to the power of 1\/2, to the nearest integer?\nAnswer: 3421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-60)*96150\/2564\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3)\/((-14)\/35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, y: 6}. What is prob of picking 4 y?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (-1*(sqrt(88)*-2 - sqrt(88)))\/sqrt(8))*3)**2.\nAnswer: -108*sqrt(11) + 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-9)*(-9)\/2. What is the lowest common multiple of -3 - (-10 - (-4 + y)) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (-22 + 5)) + 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**3 + 49*f + 8*f**3 - 51*f + 4*f**3 to s*f**2 + u*f + l*f**3 + d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 121 and -1.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2746042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*s + 17, 6*s + 43 = -3*w + 4*s. What is the units digit of (52\/5)\/((-6)\/w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:49 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4*p = 86820 - 86831, -3*p - 3 = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-1) - 62856\/7128\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -20887207\nAnswer: -2\/20887207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*t - 58*t - 74*t = -3843 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 + -0.04. Let j = -0.6 - m. Let f = -0.60000064 - j. Round f to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 545, 1090, 1635, 2180, 2725, 3270?\nAnswer: 3815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -355.\nAnswer: 3\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.36 - 17.36. Let k = 1.2283 - 1.6283. What is the smallest value in -0.1, k, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 - 2*s - 7. Let u = 15 + -13. Let r(j) = -j**2 + j + 3. Let d(i) = u*m(i) + 5*r(i). Is d(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (1 + -2)*-2. Let x(h) = -9*h**2 + 2*h + 6. Let k be x(4). Let p be k\/(-300) - (-6)\/(-10). Is p > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/11)\/s**6*(s**(6\/13)\/s)\/(s*s*s*s**(-17\/5)*s) assuming s is positive.\nAnswer: s**(-5169\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44693 and 20554?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2)*(-20)\/30. Suppose t + 2*s = -4*t + 15, -3*t + 9 = 3*s. Calculate the remainder when 45 is divided by 13 + (j\/t)\/((-2)\/(-18)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 8256 - 8256.4. Let y be (10\/32)\/(1\/(-4)). What is the third smallest value in y, r, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/60*-9)\/(64\/(-20))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -5*f. Suppose -2*h - 12 = -3*h - 5*w, -3*h + f*w = 15. Is h != -16\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-3 - -4) - -27. List the prime factors of (-3 - x\/(-8))*(-112)\/(-1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**7\/35 + 49*q**6\/24 + 226*q**3\/3 - 1316*q**2. What is the derivative of d(r) wrt r?\nAnswer: 24*r**3 + 735*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3921 - -5464. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 1:08 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3\/7 - 12*f**2\/7 - 10*f\/7 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/165830 and 81\/5768.\nAnswer: 663320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.309? (a) 6\/5 (b) -0.1 (c) 2\/13 (d) 0.1 (e) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/27510 and 11\/84780318?\nAnswer: 423901590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 4*v + 3. Let c(p) = p**2 - 2*p + 2. Let w = 515 + -515. Suppose -m - a - 5 = w, m + m + 4*a = -12. Calculate m*u(k) + 7*c(k).\nAnswer: -k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (105*2 - 3) + 0. Let g = -10 - -14. Suppose g*v = 733 + l. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**5\/20 + 7*a**4\/12 + 5*a**3\/6 - 3*a**2\/2 - 7*a. Give v(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25151 + -24983. Calculate the remainder when 513 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 851043.5 centimeters in micrometers?\nAnswer: 8510435000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/7)*u\/(u\/u**6)*(u**(1\/4)*u)**(19\/2) assuming u is positive.\nAnswer: u**(993\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-292326 + 292326 - 1334*o**2)*(2*o - 5 + 5)*(-1 + 2 + 0) in the form q*o**2 + y*o**3 + a + l*o and give y.\nAnswer: -2668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/42)\/((-10)\/(-210)*-6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4665043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 2. Let n be t(0). Let d = n - 0. Is 3 a factor of d\/(-2) + (6 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 4. Let g(y) = -y - 1. Let f(v) = -2*g(v) + k(v). Determine f(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11795 - 9590. Solve 11*j + 2183 - i = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -154*h**2. Let g(k) be the third derivative of -7*k**4\/24 + 2*k**2 + 51. Calculate g(y(m)).\nAnswer: 1078*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1620))\/(-3*-1*sqrt(10)) + ((4*sqrt(400))\/sqrt(8)*1)**2.\nAnswer: -3*sqrt(2) + 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*v*y**4 - v*y**2 + 311*v - 5*y**4 wrt y?\nAnswer: -672*v*y - 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97382\/3 or -32462?\nAnswer: -32462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/3 (b) -2\/5 (c) 103.9 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3 + (5 - 5 - 1)*(1 + 3 - 2) + 2 - 2 - 2 - 3 + 3 - 6)*(d - 7*d + 3*d).\nAnswer: 33*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -64. What is the tens digit of 598\/m + (3\/3)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, 0.151, -20, -1\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + 108*o**3 - 606*o**2 + 396*o + 1107.\nAnswer: 3*(o - 3)**2*(o + 1)*(o + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 8. Let d(j) = -j**3 + 2*j**2 + 3*j. Calculate the remainder when 29 is divided by d(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18419.\nAnswer: 113, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 58113283 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 12 = -4*g, 0 = 2*i - 4*g - 4678. Suppose -2*n + i + 2527 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 17*m**3. Let r(v) = v**2 + 3*v - 2. Let q be r(-4). Suppose 81*b + 50 = 91*b. Suppose w + q*x - b = -2*w, x = 2*w + 6. Determine p(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 4, 865, -1 in descending order.\nAnswer: 865, 4, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 2*k**2 - 3*k + 2. Let y(t) = 12*t - 69. Let d be y(6). Suppose 7 = 2*p + d*w, 0*w - 4*w + 4 = 0. Determine n(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6)\/l*(l**(-4)*l)\/l assuming l is positive.\nAnswer: l**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -582 + 51*z + 582 as j + y*z and give y.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1902.14*128\nAnswer: 243473.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, d: 4}. What is prob of sequence cdc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**2 - 9*u + 2. Let w(q) = q**2 + q. What is 6*w(t) + y(t)?\nAnswer: -t**2 - 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-12)*(-7)\/(-2)*(-270)\/(-525).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19 and -50902302096?\nAnswer: 50902302115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9094 - -9150. Let g = 2.5 + 0.5. Sort g, c, 2.\nAnswer: 2, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/3 and 35\/407760233?\nAnswer: 1223280699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 779 + -844.8. Let a = 64.922 + c. Let v = a - 0.192. Round v to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**5\/330 + 29*d**4\/132 + 10*d**3\/11 + d**2 + 47. Find k, given that i(k) = 0.\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -122*j**2 - 4550*j - 1332 = 0. Calculate j.\nAnswer: -37, -18\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 465*b = 467*b - 2, b - 15 = 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*m**4 - 40*m**4 + m**2 - 2*m**3 + 14*m**4 to the form g*m + x*m**4 + d*m**2 + v + f*m**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 819.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0313 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6475792110767 minus -0.2?\nAnswer: 6475792110767.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:20 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 174 + -172. What is the derivative of -19*k**g + 2*k**4 + 19*k**2 - 6*k**3 - 9 - 36*k**3 wrt k?\nAnswer: 8*k**3 - 126*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3787, -5, -0.1, 2\/7?\nAnswer: -0.3787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, 11\/2, -0.7.\nAnswer: -0.7, 0.3, 1, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + 69.000114. Round k to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29674, -29663, -29638, -29593, -29522?\n\"Answer: z**3 + z**2 + z - 29677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 + 14*n - 77. Let k(z) = -z**2 - 8*z + 38. Let c(j) = -5*k(j) - 3*s(j). Find the second derivative of c(q) wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.2 - -6. Which is the biggest value? (a) v (b) 0.4 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n + 33. Let b be d(-14). Suppose -b*f = 509 - 1589. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/5)*p\/(p*p**(4\/3)\/p*p)*(p**(-10)*p)\/p**(-1) assuming p is positive.\nAnswer: p**(-137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -273510 rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(7\/4))\/(g\/g**(15\/7)))**13 assuming g is positive.\nAnswer: g**(143\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32539?\nAnswer: 13, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 96, -2\/3, -505\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/28 + 18\/14. Is 12*(10 + t) + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**8\/2240 - x**7\/560 - x**6\/480 + 28*x**3\/3 + 54*x**2. Let r(n) be the first derivative of t(n). Solve r(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 111 = 3*f, 293*s + 3*f = 291*s + 74. Suppose 3*o + 15 = -0*o. Let k = 10 + o. Calculate the remainder when s is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 + 3*a**2 + 2*a**2 - 4*a**2.\nAnswer: a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/27)*o**(-5))**(2\/3)*((o\/(o*o**(2\/7)\/o))\/(o\/((o\/((o\/(o*o\/(o\/(o**(-5)\/o)))*o)\/o))\/o)))\/(o\/(o\/(o*o**2*o))*o*o)**(-2) assuming o is positive.\nAnswer: o**(1378\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from cyctcfccvt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 36227360.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**3\/27 - 13*p**2\/6 + 676*p\/9 + 4578. Factor h(g).\nAnswer: -(g - 13)*(g + 52)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141290516 greater than or equal to 141290515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**0*h)\/(h*h\/h**4))\/(h*h\/(h*h*h**(-5))*h*h*((h*h**(-2\/7))\/h*h)\/h))**(-2\/71) assuming h is positive.\nAnswer: h**(52\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11592 and 439488?\nAnswer: 10108224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2490 + -1360. What is f rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3002, -3348, -3718, -4124, -4578, -5092?\n\"Answer: -2*q**3 - 332*q - 2668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/14, -0.2, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 256 = 4*j. Let z(r) = r**2 - 29 - 19 - 12*r - r + j. Let q be z(15). Sort q, -3, 19 in ascending order.\nAnswer: -3, q, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/67 or 0?\nAnswer: -39\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1703789\nAnswer: -3\/1703789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/2? (a) 5\/4 (b) 5 (c) 1\/2 (d) 8 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrraarrrrrrarr. What is prob of sequence rar?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -425438 minus -0.4?\nAnswer: -425437.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mzmzuzze?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9. Let m(l) = l - 14. What is -5*m(x) + 8*w(x)?\nAnswer: -5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 19*k - 47. Let b be h(21). Let g be (1*-1)\/(3\/15). Is g greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 8 + 0*s + 32*s**2 + 0*s to the form j*s + f + w*s**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 + 38. Let y = -275\/7 - n. What is the nearest to 0 in 2\/17, 5, y?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*a + 4*h + h, -3*a + 4*h - 29 = 0. Let y be (-45)\/12 - a\/(-12). Let w be y\/10 + 85\/25. Solve -2*z = 5*p, -6*z + w*z + 2*p = 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 (base 8) in base 5?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3225 - 18?\nAnswer: 320b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/(-60)*-7*((-1)\/(-10))\/(7\/10)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-13 + -2) - (-161 - -167).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, p: 4}. What is prob of picking 2 j?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(13284\/(-396) + 36)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1667*v**2 - 207*v - 794037?\nAnswer: 3334*v - 207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, k: 1, h: 1, x: 1, a: 2, u: 2}. Give prob of picking 1 j, 1 h, 1 k, and 1 x.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 461303 (base 7) to base 5\nAnswer: 10112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - -69. Let z be (-2)\/13 + 105\/f. Solve 0 = -2*h - z - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*y = -256 + 54 - 248 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-5))\/(2\/(-5)). Let b(h) = h**2 - h + 2. Let f be b(n). Suppose 0 = 3*c + 4*c - 14. Solve -4*y = -c*y + f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600 not equal to 1626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*z = 22 + 132 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 4832980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3626 - -3632. Let w = -4 + 5. What is the smallest value in w, -4, d, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -6. Let k(v) = -v - 3. Let c(j) = j + 2. Let o(y) = w*c(y) - 2*k(y). What is the units digit of o(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -751687 * -1\nAnswer: 751687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14012 and 11752.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 135, 192, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*u = 24 + 30, -4*r + 58 = -3*u. Let f be (4\/r)\/(-1) - 34\/(-8). Suppose -150 - 50 = -f*x. What is the highest common divisor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6031790 to the nearest integer?\nAnswer: 2456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 11634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-147)\/(-6))\/7*(-83)\/(-1743)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 10:41 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101039 and 1058?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (sqrt(1377) + 6*(sqrt(1377) + 2) + sqrt(1377))**2 + ((sqrt(1377) - -1*sqrt(1377))*-2 - -6*(sqrt(1377) + -2)**2)).\nAnswer: 8856*sqrt(17) + 579348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s + 6*s + 14*s**2 + 5*s.\nAnswer: 14*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, s: 3, k: 4}. Give prob of sequence kkk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/10 - (-954)\/45. Let v = 62 - o. Let i = -39 + v. Which is bigger: i or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-5)*n))\/((n*n*n\/n**(2\/15))\/n*n*n))\/(n**(-1)*n)**(-10)*(n**7\/n*n\/n**(-2\/11))\/(n**6*n*n**(4\/3)) assuming n is positive.\nAnswer: n**(-1\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - -3 - (259\/29 + 22\/11165*35).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 310*h**2 + 390*h wrt h?\nAnswer: 620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 72 = -f + k, 4*k = -3*f + 214. Suppose 1338 = -64*i + f*i. Is i a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 14 + 59 = 0. Solve -y*v - 3*p - 20 = 0, 0 = -0*v + 4*v - 2*p - 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 17*w**7\/70 + 13*w**6\/120 - 531*w**5\/20 + 164*w**2 - w. Find the third derivative of b(n) wrt n.\nAnswer: 1224*n + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 5*j**2 - j - 15. Let d be w(4). What is the remainder when (24\/(-40))\/(d*(-1)\/(-435)) is divided by 51?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2826*n + 30335. Give b(11).\nAnswer: -751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 3:18 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = x + 3*x + 9, 2 = -2*x. Suppose 120 = d*z + 5*m, -3*m = z - 4*m - 24. Calculate the lowest common multiple of z and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5 = 5*q, -4*v = 2*q + 3*q - 35. What is the units digit of 3\/v - (-12)\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/17)\/s**(-8))\/(s*s\/((s\/(s*s\/((s*(s*s*s**(-2)*s*s)\/s)\/s)))\/s)*s**0) assuming s is positive.\nAnswer: s**(83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -992 - -1393. Calculate the remainder when z is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {c: 3, y: 4, v: 2, i: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 3:23 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -414 + 1249. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 594761809 and 104968?\nAnswer: 13121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12 - 0.02. Let c = v - 0.5. Which is smaller: c or -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -978 and 0.2?\nAnswer: -195.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, 2\/13, -1\/7, 1 in descending order.\nAnswer: 2, 1, 2\/13, -1\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 150359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.186 - -1.186. Which is the third biggest value? (a) 3 (b) -7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*q - 139 = -2*t, 5*q = -2*t + 100. Calculate the greatest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/2 - 107*f**2\/2 + 3283*f\/2 - 21609\/2 = 0. What is f?\nAnswer: 9, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*v**3\/2 - 2755*v**2 + 37150*v - 14420 = 0. What is v?\nAnswer: 2\/5, 14, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115163451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + 274\/5. Let x = 41\/2 - 371\/18. Let d = -36.7 + 33.7. Which is the nearest to x? (a) -2 (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((0 - 21) + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {o: 2, t: 2, j: 2, a: 2, k: 5}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*g = 26, -4*v + 5*g + 27 = -6. Suppose -p + v + 26 = 0. Let q be p\/12 - 6\/8. Solve -q*f = 2*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j + 38*j = 16. Suppose j*q - 63 = -79. Let r(k) = -k**2 - 6*k - 3. What is r(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g + 5. Let p(f) = -3*f + 5. Determine -4*p(k) + 3*y(k).\nAnswer: 3*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 34337\nAnswer: -34336.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3)*855\/(-6). Suppose 15 = -2*n + j. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 357847150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6899 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Suppose -c = 5*j + g*c + 18, -2*j = c + 7. Calculate the common denominator of -49\/22 and (3\/(-2))\/(j\/(-43)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v + 2. Suppose -q + v = -2. Let i be 2*15\/6 - 0. Sort i, q, -2 in decreasing order.\nAnswer: i, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(-30)\/594*(-3)\/15.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/3*((-504)\/1890)\/((-2)\/(-21))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12145 and 14227.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 5*d**2 - 5*d - 1. Let w be v(4). Let b = 37 - 25. Suppose 5*h + 0*g = 2*g - 4, 3*h + 2*g = -b. What is the biggest value in w, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 3*q)*(15 - 8 + 10)*(3*q + 3*q - 5*q).\nAnswer: -51*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 21*t + 2. Suppose 43*n + 1546 = 45*n. What is the remainder when n is divided by d(4)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*l - 2476 = 7*l, 0 = -5*a + 2*l + 4150. What is the highest common divisor of 26 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y + 8 = 0. Let c be 27\/(-60) - (-1)\/y. Let v = -301.738 - -301.738. Sort -4, v, c in descending order.\nAnswer: v, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -21*v**3 + v**2 + v + 1. Determine u(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*z - 256 = 0, -q = -2*z - 48 - 87. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + m + 19 = 4*m, -4*p + 22 = -m. Suppose 3*d = 2*w - 2, 0*d + p*w - 22 = -d. Solve d*b + k - 1 = -0, 0 = 5*b + 4*k + 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 232935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1207, -2411, -3613, -4813, -6011, -7207?\n\"Answer: m**2 - 1207*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(684) + -2 - 5*(sqrt(684)*-2 - sqrt(684)).\nAnswer: -5 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or -5010?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22004325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - -2) + 9 + (32 - 57)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 7:40 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 2*k**2 - 2*k. Let f be n(-3). Let v(z) = 2*z**3 - 3*z**2 - 3*z - 2. Let a(l) = 2*l**3 - 4*l**2 - 4*l - 2. Calculate f*a(j) + 4*v(j).\nAnswer: 2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1578 + 1596. Solve -9 = -o*g + 21*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -61, -135, -239, -373, -537, -731?\n\"Answer: -15*f**2 + f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -217? (a) 4\/5 (b) 0.1 (c) 2\/9 (d) -2 (e) 80520\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + f**4 + 0 + 0 - f**4 + (-3*f + 4*f + 0*f)*(2*f**3 - 4*f**3 + 0*f**3) - 3*f**4 - f**4 + 2*f**4 - 7*f**4 - 6*f**2 + 6*f**2.\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 44 = -a. Solve -a*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5740\/3 + 1888. Let f = -17\/161 - -52105\/966. Let i = 66 - f. What is the common denominator of i and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20802 - 145613\/7. Which is the third smallest value? (a) -3 (b) -0.344 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 16177\/139, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4166111.09 - -0.2.\nAnswer: 4166111.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1*(3 + -9). Suppose -4*f**2 - 3*f**4 - 2 + 2 + k*f**4 - 4*f**3 + 4*f**5 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -135*t**8\/448 - 33*t**7\/28 - 157*t**6\/96 - 11*t**5\/12 - 5*t**4\/24 - 28*t**2. What is y in j(y) = 0?\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g + 208 - 19 = -387 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13000376, 26000752, 39001128?\n\"Answer: 13000376*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30063)\/16104 + (-1)\/122.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkl when three letters picked without replacement from {l: 3, k: 10, z: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22755*l**2*t**2 + 113*l**2*t - 28943138*t**2 wrt l.\nAnswer: 45510*l*t**2 + 226*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 l when three letters picked without replacement from topolltw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 2*a**2 + a + 2. Let b be k(3). Let z(l) = 2*l**2 + 2*l + 5. What are the prime factors of z(b)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**2 + 6*z + 1816. Let q(b) = -3*b**2 - 2*b**2 + 0*b**2 + 3*b**2. What is c(q(d))?\nAnswer: -4*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2228793?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 2, 185*s - 182*s + 1 = 2*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*i - 12 - 14, x = 4*i - 35. Let m be (-2)\/i + 1680002\/8. Round m to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 26. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/(2\/(-3)). Let i = 4 - 3.7. Let j(p) = -p - 4. Let q be j(-2). Which is the closest to n? (a) i (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-824)\/2340 - 404\/(-1313)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29068.26 - -213.\nAnswer: -28855.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -12*f + 28. Determine x(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1779673*m**4 + 194005*m wrt m.\nAnswer: 21356076*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-35))\/((-7)\/(-17297))*1. Solve -f*n - 60 = -368*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1842 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 2:37 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2558 - 2715. Which is the second biggest value? (a) h (b) 1\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 3\/4, -27, -1 in descending order.\nAnswer: 3\/2, 3\/4, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 18 = 3*l - z, 3*z + 19 = 2*l. Let i(u) = -4 + 10 - l. Let n(m) = -2*m - 5. What is 3*i(q) + n(q)?\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 8*o - 1. Let h be w(7). Let y = -4 - h. What is the first derivative of -5 - 143*k**3 + 143*k**3 + k**y wrt k?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (1 + -2*2). Let t = 6 - h. Find the third derivative of -4*q**2 - 2*q**2 + t*q**6 + 3*q**2 wrt q.\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -117*a**2 + 9346*a - 71. Calculate y(80).\nAnswer: -1191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 12*s - 104. Let t be o(-12). Let m(u) = 12*u + 19*u - t*u. What is m(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 3*n - 2*n)*(-171 - 118 + 69 + (-4 + 5 + 0)*(3 - 3 + 2)) + 0*n + n - 3*n + (-1 - 1 + 0)*(-n - n + 3*n) - 3 + 3 + n + 6 - 6 - 2*n.\nAnswer: -223*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 644 and 4?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14546 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 87797\/5 - 1\/1. Let j = 17468 - a. Let t = j + 91. Which is smaller: t or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -88*v**3 + 2*v**2 + 43*v + 169314?\nAnswer: -264*v**2 + 4*v + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c - 3. Let u(w) = 16*w - 61. Let j(x) = -13*x + 47. Let t(v) = -9*j(v) - 7*u(v). Determine -3*f(z) - 4*t(z).\nAnswer: -2*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19963695.5 + -19963673.4999994. Let o = 22 - l. What is o rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzzejzjzezzzejjej. What is prob of picking 3 e?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -42?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1.2, -3, 5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 39*((-1746)\/27)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-10))\/((-3)\/15). Suppose -2*y - 8 = s*y. What is the units digit of ((-8)\/20)\/(y\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*a + 2*a - 4 = 0, -5*a + 10 = -4*g. Suppose g = -3*l + 8 + 1. Suppose -24 = z - l*z. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 532 and 1286.\nAnswer: 342076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 314600015 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q - 3. Suppose l + 7 = -k, -k + 5 = -2*k. Let z be n(l). What is the second derivative of -7*f**2 - 3*f**4 + z*f**2 + f wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 296\/5 + -58. Solve -k*a + 0 - 2\/5*a**2 = 0 for a.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169942 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101 - -103. What is the remainder when s is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 11541?\nAnswer: -11534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -262 + 488. Let d = u + -50. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -26, 5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 37 - 6*k**2)*(k + 2*k - k) + 4*k - 3*k**3 - 2*k + 7*k**3.\nAnswer: -8*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u. Let z(f) be the first derivative of -35\/2*f**2 + 0*f - 5. Calculate n(z(j)).\nAnswer: 70*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 1:08 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(65)\/(sqrt(5)*-5*2) + sqrt(468) + -1 + sqrt(637) + -1).\nAnswer: -8 + 258*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 957 + -914. Calculate the remainder when h is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/7 and 52\/25*10\/(-4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*p + 11*p + 5*p**3 + 2 + 7*p + 5*p**2 as g*p**3 + r*p + c + j*p**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.047 + -0.003. Let z = -0.8 + -3.2. Let c be ((-2)\/4)\/((225\/54)\/25). Put c, z, m in descending order.\nAnswer: m, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 2*k + k**3 + (-8 + 8 + 5*k + (3*k - 3*k - k)*(-7 + 13 + 4))*(4*k + 2*k**2 - 2 - 4*k) as w + j*k**3 + q*k + s*k**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154 or 168?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krrk. What is prob of sequence rkrk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -5943450.\nAnswer: -1\/2971725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/61 - -65\/244. Let s(t) be the second derivative of -2*t + a*t**4 + 3\/2*t**2 + 2\/3*t**3 + 0. Give s(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/13? (a) -0.5 (b) -8 (c) 5 (d) 0 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 1:07 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -73821206 to the nearest one hundred thousand.\nAnswer: -73800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkskkkkkkskkskkkks. Give prob of picking 3 k.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(8)\/sqrt(2)*-5) + -5.\nAnswer: -5 - sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-3)\/108)\/(83\/(-498)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 13*g**2 + 15*g + 12. Let z(q) = q**3 - 7*q**2 - 7*q + 4. Let y be z(8). Let p be f(y). What is the greatest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Suppose s - k*b - 2473 = -2*s, -4*s + b + 3294 = 0. Let l = s - 236. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6574416 and 12?\nAnswer: 6574416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*6\/(-120)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2334 - -2383. Solve -53*o - 4 = -c*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -175520843 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)\/(a\/((a**(2\/15)*a)\/a)*a))\/(a**(-3)\/a**(-9)) assuming a is positive.\nAnswer: a**(-457\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 443539\/138216 + -4\/5759. Find the common denominator of 64\/(-160) + 2\/((-120)\/(-974)) and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 16902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 8 = -14. Let x be ((-11)\/t)\/((-1)\/(-8)). Which is the smallest value? (a) 0.8 (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36548273.\nAnswer: 421, 86813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= 2.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -22. Let q = d + 21. Let a = 0.4 - -0.1. Put a, 2, q in descending order.\nAnswer: 2, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 1. Let j(c) be the third derivative of c**6\/120 + c**5\/20 - c**4\/12 + 2*c**3\/3 - 55*c**2. Calculate j(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2149 - 2158 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -88*z**3 - 4*z**2 - 43*z + 2. Let l(f) = 87*f**3 + 6*f**2 + 42*f - 2. Let t(n) = -2*l(n) - 3*p(n). Find the second derivative of t(u) wrt u.\nAnswer: 540*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 2*l + 4. Let o(q) = -4*q**2 + 4 + q**3 + 0*q**2 - q**2. Let w be o(5). Give b(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -210 - 204 + 2*o**2 - 198 + 10*o + 612 + 157*o**3 in the form i + c*o**2 + g*o**3 + u*o and give g.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614985*o**3 - 1486900*o**3 + 429659*o**3 - 3904091*o**3.\nAnswer: -5576317*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2429352?\nAnswer: 2, 3, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 6 - (-25 - (-18 + 16))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*a - 2. Find the third derivative of t**2 + 9*t**3 + 2*t - a*t - 4*t**3 wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-212)\/16 + 2\/8. Let b = d - -28. Calculate the remainder when b is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 0.68. Let a = 1.92 - i. What is the closest to a in 4, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a - 3 + 4*a + 3.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 - 279*k**3 + 1848*k**2 - 3636*k + 2064 = 0. What is k?\nAnswer: 1, 2, 4, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r + 58 + 110 = 0. Solve r = 9*i + 44 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 8 - 21517*g - 26460*g + 14286*g)*(3 + 2*g**2 - 3) to c*g**2 + v*g + l + k*g**3 and give k.\nAnswer: -67382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u + 25. Let d be s(-10). Let v = 131 - d. Is 34 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1453 + 1463. Solve 1 = -3*o + x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 2035377.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4970818 and -0.5?\nAnswer: -2485409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 279.213 - 277.2. What is z rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 11. Let y be -3 + (-2 + 0)*1. Let i be s(y). Is i bigger than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 521065602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1701400 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 5:59 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1565 and 9758714.\nAnswer: 48793570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -20. Let j(q) = -q**3 + 4*q**2 + 6*q - 5. Let b be j(5). Suppose 6 = -3*t, k - 3*t + 2*t - 23 = b. What is the smallest common multiple of v and k?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -7*b**2 + 3*b - 8. Let n = 5 + -2. Let a(w) = 13*w**2 - 5*w + 15. Let y(j) = n*a(j) + 5*z(j). Is y(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417*m**3 + 1121*m**3 + 1181*m**3.\nAnswer: 1885*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**2 - 5*u + 35. Let m(k) = -12*k + 6. Let c be m(0). What is the units digit of z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*o**2 + 100620*o - 50299*o - 50321*o.\nAnswer: -130*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((4 - -11) + 12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1001?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 93. Let k = p + 63. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 k when three letters picked without replacement from {g: 4, v: 2, t: 1, m: 6, k: 3}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(112)*3) + -3*(sqrt(1100)*-1)**2.\nAnswer: -3300 + sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.3, 4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2, 3\/2, 1\/27, -4, -0.5, 134?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 20 = 2*h. Let v = h - 28. Let p(r) = -5*r + 15. Does 31 divide p(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1476a (base 12) to base 2.\nAnswer: 111000001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.29 or -3.4?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - -1.2. Let n = 16.8 + -19. Let y = s + n. Round y to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 less than -0.042?\nAnswer: -2.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/437 or -1\/4?\nAnswer: -2\/437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*p**2 + 261*p**2 - 13417343*p**3 - 512*p**2 + 13417339*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + 55.7. Let q = j - 56. Sort -4, 18\/11, q in descending order.\nAnswer: 18\/11, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 47237395 and -0.2414.\nAnswer: 47237394.7586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 57 + 3 = 0. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/916 less than -0.746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**4\/8 - q**3\/3 + q**2. Let w be z(-2). Suppose 2*v - 4*p = 14, -2*p - 14 = -w*v - p. Sort -1, 4, v in ascending order.\nAnswer: -1, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-22205)*1535\/6447. Is t not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-63) + -4 + 3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 4 - 13 + 71*i + 93*i.\nAnswer: 164*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(30\/4) - (-14)\/(-8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 5) to base 10\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 times 1711?\nAnswer: -135169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 - 18869a?\nAnswer: -1886c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**2 - 368730*v - 23988575 = 0?\nAnswer: -65, 73811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42362285 to the power of 1\/2, to the nearest integer?\nAnswer: 6509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Let a be 4\/12*9*1. Let h(z) = -a*z - 3*z + 3*z. Determine k(h(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 703380 and 1425?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3131968 and 40768.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1836 - -1846. Solve 3*g + s = -2*x + g, 0 = 4*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4697081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5 = 0, u + 0*u - 1 = -g. Let d = 17 - 14. Let l be ((-2)\/(-1))\/((-8)\/(-4)). Solve l + d = g*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00072738655 to 5 dps.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23776*15.\nAnswer: 356640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 147843432\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6651 = 3*i - 2*m - 10791, 0 = -3*i + 5*m + 17442. Suppose 13*p + 21*p - i = 0. 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: Suppose 7 = 3*j - 2*a, -2*j + 3*a + 63 = 60. What is the remainder when 176 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y + 6. Let s be q(8). Suppose -10 = 2*a - s. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f - 68. Let s(j) = -3*j. Determine s(m(i)).\nAnswer: -15*i + 204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 92379084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {f: 2, g: 1, n: 1, u: 1, p: 2, i: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -k - 0*k. Let o(g) be the first derivative of -g**3\/3 + g + 51. Let a be o(0). Solve -2*w + k = -3*m, 2 = -m + 3*w - a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1218001, -1218000, -1217999, -1217998, -1217997?\nAnswer: -1217996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 10*a**2 - a + 30. Let t be x(-10). Let f be (-25)\/t*(-4)\/390*1. Let j(n) = n**2 + 6*n + 8. Let q be j(-4). Is q less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-5))*q*q**(-2\/5))**(-2\/81))**(2\/23) assuming q is positive.\nAnswer: q**(88\/9315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.054 - -9.446. What is l rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from cmemmeeeeeemmemeeem?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 4*s - 12. Let z(d) be the second derivative of 1\/12*d**s + 0 + 0*d**4 - d + 0*d**2 - 1\/40*d**5. Find b such that z(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -94. Let u = 50 + k. What is the closest to u in -0.4, -3\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19649952.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 45. Sort -0.5, 3\/2, d in descending order.\nAnswer: d, 3\/2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5339987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000125823232 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -11*d**2 + 14*d + 187. Let k(h) = -111*h**2 + 147*h + 1869. What is -21*f(v) + 2*k(v)?\nAnswer: 9*v**2 - 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqdxxdxxxxxdxdddxxx. Give prob of picking 2 x and 1 d.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9464?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - u - 15 = 0, 0 = -5*z - 0*u + 4*u + 39 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7*u = -129. Let m = -28 + u. Suppose 0 = h + 4*s - 18 - m, 3 = s. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjjhjxe. Give prob of sequence jehp.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 102.\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (17\/2)\/(-16 + (-1098)\/(-72))*(43 + -40)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 888770 times -3\nAnswer: -2666310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 153991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -50, 84, -2 in descending order.\nAnswer: 84, -2, -3, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 <= 553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6297 = 455*c - 17640 + 1642 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**5*m*m**(-1\/2))**4\/(((m**(-1)*m)\/m*m)**(1\/3))**(-48) assuming m is positive.\nAnswer: m**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-3\/7))*v**(-14)\/v)**4 assuming v is positive.\nAnswer: v**(-432\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -181 (b) 2404 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + 3*((0 + (sqrt(9) + sqrt(9)*2 - sqrt(9))\/sqrt(3))**2 + (sqrt(108)\/(sqrt(300) - sqrt(12)))\/sqrt(3)).\nAnswer: 3*sqrt(3)\/4 + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*i**4 + 58*g**3*i**3 + 2*g**3*i**2 + 21*g**3 - 4*g**2*i wrt i.\nAnswer: -48*g**3*i + 348*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/11 or -7\/12?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.283 + 0.053. Let n = -0.1836 - y. Let k = -0.05 + n. Round k to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*h = -71*h + 28. Calculate the lowest common multiple of 59 and h.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015401902 to six dps.\nAnswer: -0.015402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 561112\nAnswer: 27\/561112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 1347*t - 2706.\nAnswer: 3*(t - 2)*(t + 451)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9830 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**3\/6 - 2456*g. Let l(f) = -2926*f. What is l(j(r))?\nAnswer: -2926*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8*(684\/48)\/(-19)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjpjjjjp. Give prob of sequence pjj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9908 is divided by 2341?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2194057?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 649905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77)\/(-3*5*sqrt(7)))**2 + (sqrt(3564) + (sqrt(3564)*2 - sqrt(3564)))*-1.\nAnswer: -36*sqrt(11) + 11\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2743, 5502, 8261, 11020?\nAnswer: 13779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/17 - 160\/1071. Let f = x - -197\/252. Let o = 1269 + -1266. Which is the smallest value? (a) f (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 346 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wssvtssspsb. Give prob of sequence ssv.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6417801 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2122804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:26 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-seven quarters of a century?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101110001 + 11?\nAnswer: 1101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**6\/120 - t**5\/6 - t**4\/6 + t**3 - t**2 + 4*t. Let z(i) be the first derivative of q(i). Is z(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, z: 5}. What is prob of picking 4 c?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*s - 138*s**2 + 2 + 35*s - 4 - 114*s + 40*s.\nAnswer: -138*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19570232?\nAnswer: 2, 11, 222389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, l: 3, j: 2, c: 1, x: 7, u: 1}. What is prob of sequence xlxu?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -38. Let l = -37 - -24. Let k = l - u. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d - 198. Let u be f(-24). Solve -10 = -u*k + 47*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + y**2 + 75. Let a be n(0). Let l be (-3 - -1)\/(a\/(-3)). Let o be (-9)\/7 - 2\/(-7). Is l not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -18*l + 93. Calculate the lowest common multiple of 3 and o(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -35.\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 67032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f*f**(-2\/19)*f*f**1)\/((f*(f**(-5)\/f)\/f)\/f**(-1\/9)))**41)**(2\/51) assuming f is positive.\nAnswer: f**(151208\/8721)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-nine fifths of a kilometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6074 and 195702.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-5))\/((-10)\/(-25)). Let d be ((-5)\/5 - -1)\/(o\/1). Solve -3*l + 6 = -d*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -365, -261, -31, 373, 999, 1895, 3109?\n\"Answer: 8*w**3 + 15*w**2 + 3*w - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*p - 58*p = 100994. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w**2 + w**2 - w**2 - 15*w - 3*w**3 + 3*w**2. Let z = -25 - -20. Let q(d) = 6*d**3 - 19*d**2 + 29*d. Let x(a) = z*v(a) - 3*q(a). Factor x(o).\nAnswer: -3*o*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*m**3 - 13029149*m**2 + 13029149*m**2.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25490 = 77*v + 81*v + 20750 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2239*i**3*u**3 - i**2*u - 6*i*u - 5*u**3 wrt i?\nAnswer: -13434*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 60. What is the remainder when o is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35210820 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -4461 and -4463 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 0, 5*r + v + 17 = 6*r. Which is greater: r or 0.06?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 562929 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -3. Suppose n - 9 = r*n. Let s(q) = q**2 + q. What is the remainder when s(n) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 + -53. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 43, 130, 293, 556, 943?\n\"Answer: 4*k**3 + 2*k**2 + k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 314.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -67?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/213 in -0.02, 4\/9, 5, 0.01, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 28, 7\/13 in decreasing order.\nAnswer: 28, 7\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(2 + 11\/(-4)). Suppose d - 5*d = -20. Solve 2*j - 21 + d = -4*f, c*j - 4 = 4*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {h: 2, l: 1, p: 1, a: 2, y: 1, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11437 by -2.\nAnswer: -11437\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48 - -64) + (-4 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 322 and 9394.\nAnswer: 216062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.48759 centuries in millennia?\nAnswer: 4.948759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**5 - 9*a**4 + 3*a**3 + 9*a**2 - 6*a = 0. Calculate a.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4\/32*-2 + 114\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 12 = 6*b. Let r(n) = n**3 - n**2 - n + 2. Suppose 5*u - d = -3*d + 50, 4*u - 58 = 2*d. Calculate the remainder when r(b) is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceeccceeecymmycyeec. What is prob of picking 2 c, 1 y, and 1 e?\nAnswer: 147\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7835.\nAnswer: 5, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 3. Suppose 2*l + 197 = -3*l - 3*s, -l - 33 = -s. Let b = 42 + l. Determine j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-52)\/((-8)\/6*(-9)\/(-138)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11109134 or 11109179?\nAnswer: 11109134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**3 - 5*b**2 + 10*b + 10. Let p(t) = 4*t**3 + 6*t**2 - 12*t - 9. Determine -6*d(k) - 5*p(k).\nAnswer: -2*k**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -1800 - 16176*c**2 + 178608*c - 6*c**3 - 17*c**3 - 13*c**3 - 167812*c = 0. Calculate c.\nAnswer: -450, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times -23387.191?\nAnswer: 725002.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n + 53. Let x be v(-9). Let i = x - -484. What is the remainder when i is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2448)*2 + (4*sqrt(119))\/sqrt(7) + (1 + sqrt(2448) + -2 + sqrt(2448) + sqrt(2448) + (sqrt(2448) - (1 + sqrt(2448))) + -1)**2).\nAnswer: -88164 + 752*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 5*p - p)*(2 + 2*p - 2) - 3*p + 2*p**2 + 3*p + (p - p - p)*(1 + p - 1) - 3 + 3 - 3*p**2.\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 2 = k - 13*o, -5*o + 14 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 13. Let k = 93 - 92. Calculate the lowest common multiple of u and -1 + 6 + 3\/k + -2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30955124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 1:14 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*m**5 - m**4 - 13*m**5 + 2*m**4 + (-1070 + 239 - 1123 - 207)*(m**5 + m**5 - m**5).\nAnswer: -2160*m**5 + m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 5412, -4, -42 in ascending order.\nAnswer: -42, -27, -4, 5412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b - 3. Let c be v(-1). Suppose l = -2*n - 0*n + 3, -5*l + 15 = n. What is the highest common factor of l and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**4 - l + 1. Let r(q) = 16*q**4 + 6*q - 9. Let v(k) = r(k) + 6*s(k). Find the first derivative of v(d) wrt d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2\/((-16)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 189 + -99. What is the greatest common divisor of x and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehii when four letters picked without replacement from {h: 5, e: 2, i: 3}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**4\/12 - c**3\/6 + c**2 + 3*c. Let h be j(-3). Is h bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2129 + -2134. Which is the nearest to -0.1? (a) -1 (b) 0.13 (c) n (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*j + 45*j + 35*j + 134*j**3 wrt j.\nAnswer: 804*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/60 and -121\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 52*k**2 - 21*k + 13*k**2 + 1 + 29*k**2 + 5*k**2 - 22. What is the least common multiple of 36 and r(-1)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5775840 and 56700.\nAnswer: 86637600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 112, 5, 0 in descending order.\nAnswer: 112, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11*z**2 + 21*z + 1. Let p(k) = 7*k**2 + 14*k + 1. Let t(l) = 8*p(l) - 5*u(l). Let m be t(-7). Suppose 5*i - 70 = m*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 361 + 345. What is the units digit of ((-8)\/c)\/((-3)\/282)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 63. Let v(k) = -k + 1. Let o(r) = -2*r - 2. Let i(b) = o(b) + 2*v(b). What is i(w(m))?\nAnswer: 8*m**2 + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 18. Let h(a) = -7*a - 3. Is h(p) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 22302.\nAnswer: 22302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -186.2, -1563 in decreasing order.\nAnswer: 5, -186.2, -1563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 6 - 2)*(-j + 0*j - 3*j) + 2 - 2 - 2*j)*(-246 + 246 + 164*j**2).\nAnswer: -2952*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -33, -19, 15, 75, 167?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**3 + y**2 + 4*y + 3. Let c be j(-3). Let d = c - 48. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8769 or -8640?\nAnswer: -8640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqfwwfsqqdksdws. What is prob of picking 1 q and 2 s?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n - 73 - 24 = 20 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12566 is divided by 85.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 12:11 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 9.4. Let n = w + 0.02. What is n rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 3 - (23 + -86 + 18).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 x, and 1 d when four letters picked without replacement from {o: 6, a: 2, c: 2, x: 3, d: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16222 (b) 347 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/17, -15, -0.3, 0, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 6*i + i - 10 to k + m*i and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13325 (base 6) to base 12.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 6)*((0 - 3 + 4)*(-d**2 + 5*d**2 - 3*d**2) - 32*d**2 - 34*d**2 + 68*d**2) in the form s*d + c*d**2 + f and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s + 29. Let l be h(-6). Solve -4*g + l*b + 22 = 0, 4*g - 8 = 2*b + 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x\/(x**(2\/27)\/x))\/x*x*x)*x*x*x**11*x*x*x*x assuming x is positive.\nAnswer: x**(407\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 1 + 5)*(-3*t + t + 0*t)*(0 + t + 0 + (-t - t + 0*t)*(7 - 2 - 3))*(0 - 2 + 5).\nAnswer: 252*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-3 + -2 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 9*n**3 + 18*n**2 - 38*n**4 + 117*n**4 + 6*n**2 - 40*n**4 - 48 - 42*n**4 - 36*n = 0?\nAnswer: -2, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39856811 - -3?\nAnswer: -39856809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 1, -44, 2 in decreasing order.\nAnswer: 2, 1, 0, -1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -3*n - 62 - 3\/2*n**2. Give s(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1138233 divided by 3153\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.047738 at least -0.0535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*z - 3 + 34*z + 2*z**2 - 5*z)*(1 - 1 + 6*z) + (-z + 2*z - 2*z)*(3*z**2 + z**2 - 5*z**2) as l*z + t + v*z**3 + o*z**2 and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.107 + 0.207. Which is the nearest to 1? (a) m (b) -0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-2*49\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -14648\/43 at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 21*d + 46. Let w be x(-23). Suppose w = -7*n - n + 200. Calculate the remainder when 38 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2955 + -2956.0738. What is l rounded to 2 dps?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 9*x - 13. Let w be n(-11). Solve -5*d + w = -1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17515009 rounded to 4 dps?\nAnswer: 0.1752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2. Let l(p) be the second derivative of -p**3\/6 + 10*p**2 - 52*p + 8. Calculate h(l(u)).\nAnswer: 3*u**2 - 120*u + 1200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3598*c - 3610*c = 108 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*v**3 - 3\/2*v**2 - 3\/2*v - 1\/2.\nAnswer: -(v + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 64878044752973 and -3?\nAnswer: 64878044752976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 639, -110, -137, -5 in decreasing order.\nAnswer: 639, -5, -110, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayyyyyyyyyayyay. Give prob of sequence ya.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2438931038, 2438931036, 2438931034, 2438931032?\nAnswer: 2438931030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -4. Suppose f + 32 = y*f. What are the prime factors of ((-6)\/(-12))\/(2\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-7)*(-168)\/(-240))\/(3\/18)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.8 and -53214.1125?\nAnswer: 53212.3125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -9\/40*g**6 + 0*g**5 - 1\/112*g**8 + 0*g + 0*g**3 + 0*g**4 + 105*g**2 - 1\/7*g**7 + 0. Factor v(o).\nAnswer: -3*o**3*(o + 1)*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 7 + (-3 + 3 - 1)*(-1 - 1 + 0) + 2 + 1 - 4)*(2*i - i + i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -59*m + 6508. Calculate v(112).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 1962039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4116 and 1708.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2664, -13477, -42820, -99957, -194152, -334669, -530772?\n\"Answer: -1544*o**3 - o**2 - 2*o - 1117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(5168\/(-19))\/(-16)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 1\/5*g**5 + 0 + 2*g + 1\/30*g**6 + 12*g**2 - 1\/6*g**4 - 2*g**3. Factor m(t).\nAnswer: 4*(t - 1)*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 385 and 12600?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1913035 (b) -2 (c) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-5 + (-5)\/((-175)\/240)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzll when four letters picked without replacement from zelezzizl?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 2a5?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m - 13. Let z(c) = -4 + 2*c + c + 2*c - 4*c. Let f(k) = -2*r(k) + 7*z(k). Calculate f(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 78749957\/(-5) + (-2)\/(-5). Let i be l\/15 - (-6)\/(-10). Round i to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -540142*g**3 - 45258*g**2 - 2*g wrt g.\nAnswer: -3240852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 26*i**2 - 20*i - 59. Does 8 divide h(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -19, -5, 5, -28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*l - 64. Calculate the greatest common divisor of l and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152\/3 + -52. What is the second biggest value in z, 2, 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 = 3*o + 46, -2*o + 4*w = 30. Calculate the common denominator of ((-83)\/(-10))\/((-6)\/o) and (-1338)\/108 + 6 - -4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.85, 0.5, -0.4, -4\/7, -4 in ascending order.\nAnswer: -4, -1.85, -4\/7, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4079\/19056 + 6\/397. Let a = 7\/16 + p. What is l in -2*l**3 - a*l + 0 - 2*l**2 - 2\/3*l**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 10:53 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54625 is divided by 191?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/1)\/((-19)\/(76\/4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 27. Let y be i(11). Sort y, 3, 2, -2 in increasing order.\nAnswer: y, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a**3 + 6*a**2 - 53*a - 16. Let c(t) = 6*t**3 - 5*t**2 + 52*t + 14. Give -6*c(h) - 5*j(h).\nAnswer: -h**3 - 47*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -203 - -204. Suppose f = -1, -2*g + f = 2*g - y. Factor 3\/2*z**2 + g - 3\/4*z + 3\/4*z**5 + 0*z**3 - 3\/2*z**4.\nAnswer: 3*z*(z - 1)**3*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 - (-79)\/3. Suppose -3*g - c = -3*q - q, q = -2*g + 15. Let 2*z**2 + q*z**3 + 2*z**2 + 3*z**2 - 3*z**5 - 13*z**2 = 0. Calculate z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 15*w + 105. Determine m(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87917 - 2*u - 231*u**2 - 340*u**2 - 87916.\nAnswer: -571*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2800 - 2798. Sort 4, 0.09, q, 0.3 in descending order.\nAnswer: 4, q, 0.3, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*a**5 - 6*a**5 - 8*a**5 + 3*a**2 + 2*a**5 - 3*a**2 + a**3 - a**3 - a**5 + 0*a**2 + 2*a**5 + 0*a**2 + (4*a**2 - 4*a**2 + a**2)*(a**3 + a**3 + 0*a**3).\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -25 - (0 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 58*m - 525. Let b be r(9). Sort 89, b, 1, -1, -2 in ascending order.\nAnswer: b, -2, -1, 1, 89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 10 = 5*z - 0, 5*p - 25 = -4*z. Suppose -k = -6*k + 4*v - 114, k + 3*v + 38 = z. Find the common denominator of k\/7 - (1 - 12\/4) and -52\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -3. Let k = -410\/3 - -283\/6. Let q = k + 88. Which is the nearest to -1? (a) h (b) q (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 2)*3*-1)**2.\nAnswer: 216*sqrt(5) + 1656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*c**2 - 9 - 69\/2*c.\nAnswer: -3*(c + 2)*(10*c + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/4)\/(26\/52000*50)*2\/(-10)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-196)\/(-56)*(-11016)\/714.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/21 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222101 - -11301230?\nAnswer: 11013123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 3*z + 33. Determine r(10).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l + 1. Let b be h(-1). Suppose -v = b*d - 5, -5*d = 4*v - 2 + 4. What is the remainder when d is divided by 2\/3 - 6\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*w = -0*c - 6, 5*w = 4*c - 18. Suppose o - 7 = c. What is the remainder when 17 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/45)\/((-189)\/405)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p, k - 3*k = -3*p. Suppose g = -k*g + 4. Let j(b) = -b + 2. Let a be j(-7). Solve a = -g*m + m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*x + 15 + 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5*j + 82*a - 8*a = -j - 607, -3*j + a = -17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 25 = d - 2, -2*d = 5*m - 33. What is the remainder when 16 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6685\/19 + 1509613\/4294. Calculate the common denominator of y and -23\/6.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/6)\/(-27*(-240)\/9720).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1860250006 to 4 decimal places.\nAnswer: 0.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -147, -51, -1, 2.\nAnswer: -147, -51, -1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -18. Let t = 2 - k. Let i = -0.274 + 0.204. Which is the second smallest value? (a) i (b) t (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*(5 + sqrt(320)*5 + 4)*-1)**2.\nAnswer: 6480*sqrt(5) + 72729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2. Let p(c) = 1249*c**2 + 2*c - 2. Give p(y(f)).\nAnswer: 19984*f**4 - 8*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.568 + -0.068. Let d = -7.7 + 8. What is the third smallest value in r, d, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -440 + 442. Find the second derivative of -51*p**2 + x - 50*p**2 + 22*p**4 + 17*p + 102*p**2 wrt p.\nAnswer: 264*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 2 + 4 - 1) + 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 913\/78 + -8\/39. Let i = -17519\/8 + 2184. What is the common denominator of g and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 2*t**2 - t - 1. Let i(o) = -6*o**3 + 13*o**2 + 5*o + 5. Let x(c) = -i(c) - 5*r(c). Factor x(j).\nAnswer: j**2*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2 - 22. Is (-34)\/(-4)*(a + -4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:00 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1421*x**2 - 1426*x**2 + 2858*x**2.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 46*t + 370. Give z(30).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1480 or 1490?\nAnswer: 1480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-18))\/((-1)\/3). Suppose 5*d - 89 = -a + 154, 246 = 5*d + l*a. What are the prime factors of 8\/d - (-106)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 30*t - 1. Suppose -3*y + 2*a = 0, y = 19*a - 17*a - 4. Let h(z) = -2*z**2 + 3*z**y + 5*z**2 - 7*z**2. Determine g(h(w)).\nAnswer: -30*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-1)*u)\/(((u**4\/u)\/u)\/u)*(u**7*u)\/u**(3\/7) assuming u is positive.\nAnswer: u**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.06001476 - 7.06. What is x rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27576 divided by -129\nAnswer: 9192\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1294, 5766, 13144, 23428, 36618?\nAnswer: 52714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1\/18 (c) -5\/3 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136*n**4 - 36*n**2 - 4?\nAnswer: -3264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((sqrt(168)\/sqrt(6))\/sqrt(4)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68588516 < 68588525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.170348nm in centimeters?\nAnswer: 0.0000000170348","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160823, 160640, 160179, 159302, 157871, 155748, 152795?\nAnswer: 148874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 6. Let h be n(10). Let o be (-13)\/h - 3\/3*3. Which is smaller: 42 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 454, -36, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 5, s: 3, x: 1, e: 5}. What is prob of picking 1 x and 1 t?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 + 4*y - y + 5668590*y**2 - 3*y - 5668590*y**2.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1319, 5639, 12979, 23327, 36671?\nAnswer: 52999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 86c177?\nAnswer: 86c17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 0 + 1\/150*n**5 + 0*n + 0*n**3 - 1\/120*n**4 - 1\/600*n**6 - n**2. Let q(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 - -0.38. Let d = -0.05 - -0.35. Which is the closest to 0? (a) d (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -10*w + 3. Let o be (-9 + (-352)\/(-40))*-5. Determine g(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -911a + 887?\nAnswer: -8673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(143) + sqrt(143)*4)\/sqrt(11).\nAnswer: -4 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/33)*s*s\/s**9*s**(-2\/15)*s*(s*s**(-8))\/s*s)\/((s**(-1\/5))**(-4))**(2\/27) assuming s is positive.\nAnswer: s**(-18196\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 15*m + 15*m**2 + 10*m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -534*i + 73. Let h(v) = -532*v + 91. Determine 4*h(q) - 5*o(q).\nAnswer: 542*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 + 37498796*f - 527309888043606.\nAnswer: -2*(f - 28124097)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.0493+-8883122\nAnswer: -8883121.9507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 40 = d. Solve -s + d*s = 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) -1409 (b) 2\/35 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((0 + 3 + sqrt(475) + sqrt(475) + 0 + sqrt(475) + -4)*4)**2.\nAnswer: -480*sqrt(19) + 68416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from xxdppeeeekdnddnxkdx.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 7. Let b(x) = -5*x + 2. Let a be b(q). Let h = -6 - a. Do h and 2 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -726 + 739. Let u = 26 + -28. Are k and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 94240.63 kilometers?\nAnswer: 9424063000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4642235?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, m: 7}. Give prob of sequence mo.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49266, 49451, 49636?\nAnswer: 49821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 40 = 4*b, 11 - 24 = -i + 5*b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/15*-6)\/((-12)\/1470). Let m = j - 80. Calculate the highest common divisor of m and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(136) + sqrt(136) - sqrt(136))*4)\/(sqrt(40)\/sqrt(20)) - ((sqrt(17) + -2)*2 + 4*sqrt(68))**2.\nAnswer: -1716 + 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 3*g - 6, -41*h = -44*h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, -1, 4, 28 in descending order.\nAnswer: 28, 5, 4, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14296121 divided by -2042303.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11252)\/(-3682217)*(-22)\/(-4))\/(40\/14 + -2).\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11451 by 3.\nAnswer: -3817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/10*8 - -3*3. Solve -l = -u - u - 10, 0 = -f*u + 4*l - 31 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 55. Put 3\/2, -1, r, 5 in ascending order.\nAnswer: r, -1, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 108*b + 3110. Calculate o(54).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 107 + 183?\nAnswer: 28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8555400 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*((-3*sqrt(425) + sqrt(425) + -1 - sqrt(425))*5 - (2*sqrt(425)*3 + 1)).\nAnswer: 24 + 420*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 65, 61, 57, 53?\n\"Answer: -4*g + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p + 10. Let q(s) = 7*s + 11. Let u(o) = 3*q(o) - 4*x(o). Let c(z) = 4*z - 3. What is 7*c(d) - 3*u(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + sqrt(1573) + 2 + 0 - (sqrt(1573) + 2 + 0)**2.\nAnswer: -1575 - 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 + i**5 + 2*i**5 + (i**3 - 2*i**4 - i**3)*(19*i + 441 - 441).\nAnswer: -36*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 4:30 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 22 = -4*i, 2*i + 7 = -0*i - 5*s. Let y be (22\/55)\/(i\/(-5)). Let o(u) = -u**2 - 5*u. Let p be o(-5). Which is greater: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 930 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (0 + 13 + -11 + 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 1 = -3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-5)*(-5)\/2. Suppose -2*b = s - 49 + 15, 64 = m*b - 5*s. 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 -26 plus -5815.04832?\nAnswer: -5841.04832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -34. Let h = -11 + 18. Let q = f - h. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32.10000255 + -32.1. Round c to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -85 - 7*w - 45 + 3*w - w + 0*w. Calculate h(-28).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-506*d + 1023*d + 2 - 498*d)*(-21 + 9 + 9).\nAnswer: -57*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 52 = -4*l. Let j = 5 + l. Let q = j - -12. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g + 11*g = 8*g. Suppose g = -0*x - 2*x + 2, x - 39 = -2*s. Solve -s*n = -23*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 6:43 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - -11110000100001111100?\nAnswer: 11110000100001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 215*t + 613*t + 5 + 10 - 24)*(41*t + 14*t + 88*t) to the form q + g*t + z*t**2 and give z.\nAnswer: 56914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-50)\/(-27))\/(-2) + 1. Let f = -48.7 + 45.7. Put k, 1\/3, f in decreasing order.\nAnswer: 1\/3, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5239437 is divided by 92.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*z = 286*z + 287 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -7*k + 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + 1)*-2)**2.\nAnswer: 88*sqrt(17) + 8232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 2. Let r be f(0). Suppose r*m - 44 = 28. Suppose 0 = 102*g - 97*g - 125. Solve -14 = -4*w + 2*s - m, -2*s = -5*w - g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*f = 945868, -15*f + 18*f - 709425 = -3*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2\/4 - 1890*p + 22635\/4.\nAnswer: 5*(p - 1509)*(p - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*-2*3\/7*(-24)\/36. Solve 4*n + 15 = -5*c + 6*c, -j*n = -4*c + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/6*2 - -2)*-3. Let d = 2 - 7. Sort -1\/4, r, d in descending order.\nAnswer: r, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6927 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -11*m - 7*m - 3*m + 32*m + 35*m**2 + 11 + 16*m**3. Let r(o) = -3*o**3 - 7*o**2 - 2*o - 2. Calculate 11*r(h) + 2*y(h).\nAnswer: -h**3 - 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(3) - (sqrt(3) + sqrt(147)) - sqrt(3)) + -6*-3*sqrt(19) - (-1 + sqrt(190)\/(sqrt(20)\/sqrt(2)*5)).\nAnswer: 1 + 707*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*s + s - 2877 = 0, 1724 = 3*y + 4*s. What is the highest common factor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829266244?\nAnswer: 2, 13, 35178197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbubbbbbrbbbb.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**15)\/(z**13\/z) assuming z is positive.\nAnswer: z**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -171 + 1488*r + 152 + 19 to the form y*r + h and give y.\nAnswer: 1488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -896*n + 11*n**2 - 8*n**2 - 1708*n**3 + 2147*n**3 wrt n?\nAnswer: 2634*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 114*j + 1056.\nAnswer: 3*(j + 16)*(j + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 126*o**2 + 249*o - 15501. Determine j(127).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010110010111 - 1100?\nAnswer: 1100010110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + -1 + sqrt(1152) - 2*(2 + sqrt(18)))**2.\nAnswer: -210*sqrt(2) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/92 + 1 - 81\/(-12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 107185b (base 14) to base 7\nAnswer: 123215544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1156 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**21\/(k\/(k\/k**(-9\/8)))*((k*k*k**(-2\/49))\/k)\/((k*k**(2\/57)*k)\/k) assuming k is positive.\nAnswer: k**(492665\/22344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 9:44 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14796846, 29593691, 44390536, 59187381, 73984226?\n\"Answer: 14796845*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scscccesdsesesrsns. Give prob of sequence nde.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -48\/569?\nAnswer: -48\/569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*x = 36*x. Solve -3*i = -x*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 262140 and 681564.\nAnswer: 3407820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (454 - 1540 - 918)*(-2*j + j + 3*j).\nAnswer: -4008*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -30*q - 32. Solve 5*u + 29 = 3*d, -q*d - u - 19 = -9*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y**3 + 7*y**2 + 71*y + 24. Let v(i) = -5*i**3 - 3*i**2 - 33*i - 11. Calculate -13*v(n) - 6*z(n).\nAnswer: 11*n**3 - 3*n**2 + 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8 = 0, -3*r - 2 = 2*f - 4*r. Let h = -2 + 1. Which is the closest to h? (a) f (b) 5 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, n: 5, a: 3, m: 1, p: 1, v: 4}. Give prob of sequence vaav.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*x + 12 = 3*x, -x + 18 = 5*z. Suppose -z*o - o = 0. Solve -d = -5*d + 4, o = r + d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16310, 26514, 36704, 46874, 57018, 67130, 77204?\n\"Answer: -p**3 - p**2 + 10214*p + 6098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1932 - -2582. What is the greatest common factor of 25 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 269453 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*z = 15 + 5, z = 5*j - 24. Suppose -v = -j*v. Let q be 14\/44 + 2\/(-4). Which is greater: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54450 and 374.\nAnswer: 925650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - 394 + 66 + 368.\nAnswer: 5*h + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 372*y**2 - 3570*y + 8800.\nAnswer: -2*(y - 176)*(y - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 24 = a, 2*x - 5*a + 26 = -9*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 5, -4\/5, 2.6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/(-2)*672\/12 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 + 319*a\/5 - 642\/5.\nAnswer: (a - 2)*(a + 321)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10766 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2894*z**5 - 2316*z wrt z.\nAnswer: -57880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**3 - 89*r**2 + 22*r + 4. Let h be o(22). Solve -h*p = -5*y - 25, p - 12 = 2*y - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.63447 decades to millennia.\nAnswer: 0.1863447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 8*n = -4*n + 1, 0 = 2*o - 2*n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*h + 25. Solve 3*t + h*w - 5 = -2*t, -w - 11 = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.5 (c) -22.93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*b - 4 + 10, 5*z = -4*b - 10. Does z = -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -207 + 206.6. Let f = -0.3 + 0.06. Let t = 0.26 - f. What is the fourth biggest value in 0, -0.5, a, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 7. Let p be q(9). Suppose w - 20 = 5*k - 1, -23 = -p*w - 5*k. Calculate the greatest common divisor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 25. Let f be x(-28). Suppose -19 = -2*p - 2*u - f*u, -6 = 3*p - 4*u. Which is the second biggest value? (a) 1 (b) -0.7 (c) p (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -122*f*i*o**2 + 2*f*i*o + 2*f*o**2 + 2*f*o - o with respect to i.\nAnswer: -122*f*o**2 + 2*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 102100201221?\nAnswer: 102100201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/(-4) - 1 - (-297916)\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from fpffppfsppppppfpfpp.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -276, -1573, -5098, -11967, -23296, -40201, -63798?\n\"Answer: -186*g**3 + 2*g**2 - g - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 8:29 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9690, -19434, -29170, -38898?\nAnswer: -48618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 53*r**8\/336 - r**4\/24 + 11*r**3\/6 + 55*r**2. What is the second derivative of w(h) wrt h?\nAnswer: 1060*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 565100647 and 0.277.\nAnswer: 565100647.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 8*b**2 + 7*b. Suppose 5*q - 31 = -s, 0*q + q - 2*s = 15. Let g be w(q). Solve 0 = -5*l - y - 18, g = 4*l - 0*l - 5*y + 26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/11, 1\/6, -5\/19, -2, 2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 13. Let n be (-40)\/((f\/6)\/5). Suppose -2*h = 2*h - n. Solve -h = 4*o + o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -15. Let r be 8\/(-5)*(99\/18 + -8). Which is bigger: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/40)\/(26\/(-52)))\/(70\/28)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1303*q**2 + 45622*q - 629. Give h(35).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 0*u**3 + 3*u - 4 + 4*u**3 + 2*u**2 - 7*u**3 - u**3. What is the hundreds digit of g(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 208 = v. Let q = -54 - v. Let m = 8 + -5. What is the smallest value in m, 1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -883.99 - -888. Let g = d + -0.01. Let q = -62475.7 - -62476. Which is the second biggest value? (a) 0 (b) g (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 11:18 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - ((-4)\/2 - -2). Suppose 0 = 4*x - 4*v - 7328, x = k*x + v - 3658. Suppose 3*h - x = 4170. What is h rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence siom when four letters picked without replacement from {b: 1, i: 1, o: 1, m: 2, j: 2, s: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1467 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -140750 divided by -125?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -47350581248?\nAnswer: -47350581244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**5\/240 - 27*p**4\/8 + 323*p**3\/24 + 1110*p**2. Factor m(o).\nAnswer: (o - 323)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24106 and 76163616?\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 85445*h**2. Let u be s(1). Suppose -u = -v - 5445. Round v to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12682932 - -75797068. Round n to the nearest one million.\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -714217*r**2\/4 + 2142635*r\/4 + 12 = 0.\nAnswer: -16\/714217, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 50070314 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -2*h - 9, 4*f = -3*h - 20 + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**9\/4536 - o**8\/5040 + o**3\/3 - 3. Let g(z) be the third derivative of d(z). Let g(b) = 0. What is b?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -225.54 - -226. Let q = f - 0.67. What is the nearest to -2\/7 in -1\/6, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 - 2.9. Let w(o) = o**2 + 3*o. Let g be (3 - 0) + -5 + (-7 - -6). Let y be w(g). What is the third smallest value in -6, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14865*j - 38469*j - 23317*j - 30256*j - 7575*j.\nAnswer: -84752*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*4\/(-12)*1. Which is the biggest value? (a) 2\/5 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/3)\/p*(p**3\/p)\/p)\/((p\/p**(-2\/5))\/(p**(2\/5)\/p)))\/((p\/(p\/(p**5\/p*p)))\/p**(2\/23))**(2\/49) assuming p is positive.\nAnswer: p**(-8567\/3381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1761 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 299 = -3*g. Suppose 2*n - n = 4*s - g, -4*s + 5*n + 129 = 0. Let w = 30 - 16. What is the remainder when s is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 7*v - 20*v. Let c(b) = 9*b**2 + 2 + 19*b - b**3 - 12*b**2 - 5. Let h be c(v). What is h rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1348 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -378, -625, -1318, -2685, -4954, -8353, -13110?\n\"Answer: -38*s**3 + 5*s**2 + 4*s - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8550 (base 11) to base 8\nAnswer: -26054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/5 + 2*l**2 - 8*l\/5 - 8 = 0. What is l?\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8748 = -4*h, -4*m - 2*h = -602 - 8142. List the prime factors of m.\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**2 - 34 + y**2 + 3*y - 9490*y**4 + 9515*y**4 wrt y?\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2322480196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 16*m**2 - 258*m + 41. Calculate p(15).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**3 + 33*o**2 - 112*o + 48. Give u(4).\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -701.440532 from 3.\nAnswer: 704.440532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -9)\/((-7685)\/(-116) - 65)\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-10) + (-72)\/(-15). Suppose -5 - c = -v. Suppose -6*f - v = -7*f. Calculate the least common multiple of f and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22328597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19108*i**3 - 22*i**2 - 4*i - 19607922 with respect to i.\nAnswer: -57324*i**2 - 44*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 5:38 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 21*x**2 - 15*x - 40. What is the remainder when w(20) is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5424 + 5424.008461. Round s to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 76*u - 69*u = -2*c + 36, c - 6*u + 13 = 0 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*k = 5*d - 739, -2*k = 2*d - 746. Suppose -40*c + d = -38*c. Let g = c - 19. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Suppose -m*y + 9 + 11 = 0. Solve -2*v = -y, 3*v = 3*l - 1 + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 921 + -921.606. Let a = 27147.306 + -27176. Let t = a + g. Round t to 0 dps.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/18 and (0 + 26\/352)*(-2320)\/(-1624).\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 26668*i - 815. Is z(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w + 26. Suppose 2*f + o = 3*o - 24, 2*o + 39 = -5*f. What is v(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(54\/(-44)))\/(-4*3\/(-18))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1053 and 89\/2808?\nAnswer: 8424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -33. Let y = 25 - f. Factor -4\/3*h**y + 8\/3*h + 0.\nAnswer: -4*h*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20280 and 1224600.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -85a99?\nAnswer: 85aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p + 2*p**2)*(p + 0*p - 3*p - p**2)*(6*p + 3 - 3).\nAnswer: -12*p**5 - 24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p + 20 = 0. Let s be (16\/p + -4)\/(-1). Solve s = -3*z - 3*a - 6, 2*a + 2 - 3 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/99 + 16\/9. What are the prime factors of l\/10 + (-636)\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-146)\/(-8) + 6\/8. Let j = m + -7. Let k be ((-4)\/14)\/(j\/(-84)). Solve -k*x + 2*z + 2 = 0, -31 + 6 = 5*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*a + 10*a - 15*a + 65)*(-1506 + 1506 - 49*a) to m + u*a + z*a**2 and give z.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 21 + 1. Suppose -19 = 2*z - 3*u, -2*z = 3*z + i*u + 13. Let s be (-13)\/(-20) - (-2)\/z. Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4492171 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*u + 577 = 23, -365 = 2*h - 3*u. Suppose 3*w + 35 = -5*a - 40, -2*a - 31 = w. Calculate the remainder when 69 is divided by h\/a + (-12)\/54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = -x, 0*x + 2*z - 13 = 3*x. Let n be 84\/15 + (-2)\/x. Suppose 5*w = -d + 11 - 3, 2*w = d + n. Solve -w*y + y = -2*h - 7, 21 = -4*h - 5*y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**18)**(-50) assuming b is positive.\nAnswer: b**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -57432548 bigger than -57432547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*k + 6. Let y(i) = -3*i**2 + 11*i. Let d(a) = 2*a**2 - 7*a. Let j(x) = -7*d(x) - 5*y(x). Give j(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 23*j**2\/2 - 20*j - 119. Let d be b(-2). Which is smaller: d or -63?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3752219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3326888, 6653772, 9980656, 13307540, 16634424, 19961308?\n\"Answer: 3326884*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -2)\/(-2)*-749 + 134\/268. Calculate the highest common divisor of j and 2175.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6394294?\nAnswer: 2, 89, 35923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12697.4055 rounded to the nearest ten?\nAnswer: -12700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 55 and 109.2?\nAnswer: 54.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, v: 2, u: 3, q: 1}. What is prob of picking 1 q and 2 v?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*m - 21, 3*v + 2*m - 2 = 5. Let t be (-4)\/v - 0\/4. Suppose 0*a + 12 = d - t*a, 3*d - 3 = a. Solve d*j - 2 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 945374592 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.876 rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2159128815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 5\/2)*2. Suppose -x*p + 36 = -p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 + 40 + 157 - 99 - 26*d**2.\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 740928 divided by -185232\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 940256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3581113 = -226*c + 286*c - 3002507. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**2 + 11*c - 13. Let o(a) = -3*a**2 + 6*a - 7. Let h be (-2 - 0)*(-35)\/(-10). Let g be (2\/(-6))\/(h\/126). What is g*f(j) - 11*o(j)?\nAnswer: 3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (667\/((-533600)\/640))\/(-2*(-2)\/240)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339, 1470, 4543, 10530, 20403, 35134?\nAnswer: 55695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.27 and -3.575?\nAnswer: 0.96525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8*a - 3. Let x be r(2). Suppose -x*v - 20 = -18*v. Suppose 3*d - 672 = -4*b, -v*b + d + 535 = -121. What is the greatest common divisor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-244)\/10 + 2\/5. Let i = 119\/5 + c. Is i != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h. Let k(r) = 340*r + 1075. What is k(y(v))?\nAnswer: -1020*v + 1075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 61\/5, 0, 3\/8, -0.13, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5243*s + 5296*s = 318 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 13) in base 2?\nAnswer: 111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -216.23 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*t - a**2*t**3 + 1616*a**2*t - 2*a**2 - a*t**3 + 2*a*t - 8*t**3 + t wrt a.\nAnswer: -6*a*t - 2*t**3 + 3232*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -2*(-5)\/(-2). Let a = z + -5. Let w be 1\/2*(0 - a). Are w and -1\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1115\/3 - 371. Let j = -1 + 1.1. What is the biggest value in j, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31921938 and 17734410?\nAnswer: 159609690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.08366447\nAnswer: -0.16732894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 62*a + 2*a**4 - 36*a - 3 - 7 + 8*a**2 in the form i*a**3 + o*a**2 + n*a + j*a**4 + s and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 - g. Let q be k(1). Solve 11*n + q = 8*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(22\/(-8)) + (-6 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23225 - 23225. Solve 58*l = 62*l + 3*s - 8, -l + 4*s + 2 = j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -14 - -12) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*24092248.\nAnswer: -481844.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.3247092 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1212*b**3 + 2828*b**2 + 2828*b + 1414. Let j(u) = u**3 - 2*u**2 - 2*u - 1. Determine 2828*j(p) + 2*x(p).\nAnswer: 404*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/8)\/(2\/(-4)). Suppose 24*l - 3 = 21*l. What is the nearest to 2\/5 in l, w, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4603 + 4401 = 4*q, -4*x - 8984 = -4*q. Suppose 7*u + 8*u = q. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14201145 (base 6) to base 7.\nAnswer: -4046252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46813566?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1526 + 1404 = b. Suppose -5*p = 5*d - 2900, 0*p - 5*p + b = -5*d. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110081, 110160, 110297, 110498, 110769?\nAnswer: 111116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301037 + 301035. Let k = 0.3 + -0.5. Which is the closest to -1? (a) m (b) 1\/3 (c) k (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 2. Let j be h(-2). Suppose 1 + 9 = 10*r. Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*m, 0 = 3*s + 2*m + 3*m + 594. Let p = -101 - s. Find the second derivative of -p*z**4 + 93*z**4 - z + 4*z wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*q**4 - 44*q**4 + 30*q**4 + (-2*q + q - 2*q)*(-4*q**3 + 4*q**3 - q**3) + 5*q**2 - 5*q**2 - q**4 to s*q**2 + h*q**3 + v*q + n + c*q**4 and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, 14, 0.4, 0.5 in ascending order.\nAnswer: -1.5, 0.4, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 53 - 11. Calculate the common denominator of 274\/36*(z + 17) and -37\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20\/150 + 24598\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2202 + -2307. Which is the second smallest value? (a) -2\/9 (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.648517 nanometers in meters?\nAnswer: 0.000000008648517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-5\/6)*u)\/u**4)**(8\/5))**(-15\/2) assuming u is positive.\nAnswer: u**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1447593 or 1?\nAnswer: -2\/1447593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (11 - 289\/(-51))*264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 713901, 714215, 714529, 714843, 715157, 715471?\nAnswer: 715785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6339.971 kilograms in micrograms?\nAnswer: 6339971000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114 + 114 - 12*a**2)*(-a - 2*a**2 + 4*a**2 + 0*a).\nAnswer: -24*a**4 + 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48339065 + (0 - -2 - 0). Suppose 0 = k - 5*k + 5*x - c, k - 3*x = -12084772. Let q = -19584763 - k. Round q to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - b**2 + 1. Let u(m) = -441*m**3 + 392*m**2 - 392. Calculate -5*u(s) - 1960*z(s).\nAnswer: 245*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**2*l**3 + 48591*k**2 + 73*l**3 wrt l.\nAnswer: 6*k**2*l**2 + 219*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 + 25095474*m + 629782815284676.\nAnswer: (m + 50190948)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -3\/136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19667804\/17544989 - 18\/37093. Let a = -7885 + 339025\/43. Let c = x - a. Calculate the common denominator of c and -35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8957 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**5 - 139*b**3 + 118*b**2?\nAnswer: 60*b**2 - 834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -54 + -3 + -8 + 17. Sort a, 5, 4, 3 in increasing order.\nAnswer: a, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - i - 20 = 0, 5*i - 10179 = -10204 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2274 (base 14) to base 15.\nAnswer: 1b8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -270830 and -270833 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (-6 - -4) - (2 - 2). Let w be -4 - 0 - (0 - -2). Let j(k) = -k**2 - 7*k - 3. Let i be j(w). Solve q = g*q + u, 0 = u - i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 4*f**7\/63 - 11*f**6\/15 + 16*f**5\/15 + 13*f**4\/9 - 4*f**3 + 7*f**2\/3 - 2498*f. Suppose n(i) = 0. What is i?\nAnswer: -1, 1\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/7)*u)**(-34)*(u**(4\/5))**(-10) assuming u is positive.\nAnswer: u**(-498\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 543790389 to the nearest integer?\nAnswer: 23319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 18*w - 14. Calculate h(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -22*s + 17. List the prime factors of y(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35555873 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -3*a + 18000000. What is a rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*w + 9 = 0, 18 = 5*d + 5*w - 7. Suppose 0 + d = p. Find the third derivative of p*f - f**2 + 3*f**6 - 2*f - f**2 wrt f.\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.54 - -34. Let b = -26.46 + d. Let l = -26.063 - b. Round l to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -674*i**3 + 2*i**2 + 1445?\nAnswer: -2022*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -1\/10, 70.35, 4, 0?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(5) + 3 - sqrt(5) - (1*sqrt(80))**2).\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-7))\/((-380)\/3325).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -71, -69, -67, -65, -63?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -43 + -5 + 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7676 + 11159. Is (5 - l)*2\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4\/3 + 729*m**3 - 291067*m**2\/3 + 285959*m - 189666 = 0. Calculate m.\nAnswer: -2313, 1, 2, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1, 50?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 2*t**2 + 9 + 7*t - 4 - t**2. Let q be h(-4). Let j = -11 + q. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13457838 is divided by 176.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.9 or 105526?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1530 and 2244.\nAnswer: 33660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075 times -1?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.1 + 5.95. Let k = s - 0.85. Which is the smallest value? (a) k (b) 0.05 (c) 4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 92?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2 (b) 1\/3 (c) -0.5 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -14*g + 9*g - 3522, 5*l - 4417 = -g. What is the remainder when l is divided by 223?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -182, -4, 0.8, -3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58.8 - 189.2. Let m = n + 231. Which is the biggest value? (a) 4 (b) m (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (60\/(-9))\/5*-1*3. Suppose 0 = -v*y + 3*d + 63, -d = -4*y + d + 62. Suppose -y = -5*i, -5*k + 57 = -i - 0*i. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/9, -52\/11, -4, -27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -35143930.2 to the nearest ten thousand.\nAnswer: -35140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.10671 - -0.00329. Which is the second smallest value? (a) 0 (b) 2\/7 (c) o (d) -2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 47*f + 30*f + 38*f - 4 - 117*f.\nAnswer: -2*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7 = -11. Suppose 0 = -y*b + 16*b - 49. Calculate the remainder when 40 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/10 + 6\/4. Find the second derivative of y + 0 - 2*n + 0 - 3*n**4 wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 50, 109, 178, 263, 370, 505, 674?\n\"Answer: r**3 - r**2 + 55*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 878401772?\nAnswer: 878401774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 147 = -2*t. Suppose n - t = -3*i - 3*n, -n + 1 = 0. Let b = -3 + i. Calculate the highest common divisor of b and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 104451, 208902, 313343, 417768, 522171?\n\"Answer: -t**3 + t**2 + 104455*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148 + 328. What is the remainder when r is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17759, 17692, 17625, 17558, 17491?\nAnswer: 17424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -3*x + 36 - 39, -x - 25 = 5*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6346*f**2 + 6342*f**2 - 12682*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 190748 - 381461\/2. Factor w*d + 15\/2 + 5*d**2.\nAnswer: 5*(d + 3)*(2*d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 49*g + 296. Calculate a(-39).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, z: 5, h: 3}. Give prob of sequence ll.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 3. Let x be g(3). Let n be (-3)\/(6\/(-4)) - -16. Let a be 4\/n - 125\/(-45). Solve x = 2*i - a*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/86132855 and 47\/514226.\nAnswer: 172265710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 5*s + 7. Let r be h(-6). Let a = -53 - -79. Suppose 3*x = -0*x + 5*u + a, 0 = x - u - 6. Solve r = z + x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 715*d - 1181.\nAnswer: 715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001404509 rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1425 (base 6) to base 16\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {s: 8, d: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**5\/9 - 241*c**4\/9 + 3620*c**3\/9 - 650*c**2\/9 - 1208*c\/3 + 99 = 0.\nAnswer: -1, 1\/4, 1, 27, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 819\/22 - 52\/11. Let g = 16580\/2337 + -346\/57. What is the common denominator of g and a?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -760288489*d*q + 21197655*d - 6 with respect to q.\nAnswer: -760288489*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(252) + 5 + -5.\nAnswer: -4 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/10, 0.3, -3\/4 in descending order.\nAnswer: 0.3, -3\/4, -13\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -42562472 divided by 5?\nAnswer: -42562472\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -7. Let x = 1.2 - c. What is the nearest to -0.1 in 0, 1\/2, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6655*m - m**3 + 6655*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -134378, -537574, -1209568, -2150360, -3359950, -4838338, -6585524?\n\"Answer: -134399*k**2 + k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 756 and 1064.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 3*l + 4. Suppose 0 = -3*i - 3*q - 7 - 2, 0 = -3*q. Suppose -g + 6 + 5 = 0. What is the remainder when g is divided by k(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 = 3*p - 172, p - 5*c - 72 = 0. Let g be 6 + (1 - (-6)\/(-2)). Suppose -3*k + g*k = 19. Calculate the greatest common factor of k and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 58 = -5*n, 4*n - 4*q = -2*q + 46. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-4 + (8 - 5) + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178 - 179. Which is smaller: -2\/67 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 18\/(-14))*91\/(-26)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33, 34, 35, 36?\n\"Answer: k + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**2 + 52*w = 0.\nAnswer: 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**4\/3 + 32*t**3\/3 - 170*t**2\/3 + 124*t - 96 = 0.\nAnswer: 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 17 - 1. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 181, 3386 in ascending order.\nAnswer: 0, 181, 3386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + -5 + (11 - 2) + -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 949737851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 243*s - 1675. Let o be z(7). Solve -48*i = -61*i + o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 5)*((-3 + 3 + d)*(0 + 0 - 2) + 159 - 159 - 68*d) as s*d + a and give s.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**7\/294 - u**6\/21 + 33*u**5\/140 - 10*u**4\/21 + 8*u**3\/21 + 62*u. Factor s(r).\nAnswer: r*(r - 4)**2*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -4*c**7\/21 + 35*c**6\/6 - 613*c**5\/10 + 239*c**4 - 261*c**3 - 243*c**2\/2 + 10250*c. Suppose w(z) = 0. Calculate z.\nAnswer: -1\/8, 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102237 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k + 688 = 660. Sort 0, 5, k, 3 in descending order.\nAnswer: 5, 3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7683 and -4084.52236.\nAnswer: -4083.75406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001746314451 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -15*g + 830. Let p be (-4)\/(-10) - (-444)\/15. Suppose 8*d + p = g. Calculate the highest common factor of d and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 80*a**2 + a. Suppose -3*h + 0*k - 3*k - 12 = 0, k = 4*h - 4. Suppose h = n + 3*n, -3*n - 2 = 2*u. Is c(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38034967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in months?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/5 (b) 3 (c) 0.48 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.079731? (a) 1\/7 (b) -1\/15 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 8:55 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4552?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -77. Solve 4*m = -5*l - 4, -3*m + 2 = 4*l + h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + 9)\/((-3)\/(-2)). Suppose 3*n + 3*g + 2 - 11 = 0, 12 = m*n - 4*g. Solve -y + n = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 - 49*s - 24. Let y be a(-24). Suppose y = 5*c - 3*b - 4860, -35 = 5*b - 10. List the prime factors of c.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**5\/20 - o**4\/4 + o**3\/2 - 3*o**2\/2 - 20*o. Calculate w(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29 - 224585*z**5 + 224587*z**5 - 1 - 3*z**3 + 2*z**5 + 5*z**5 - 5*z**5 + (-z**5 + 6*z**5 - 3*z**5)*(-2 - 1 + 4) + 2*z**2 - 2*z**2 - 2*z**5.\nAnswer: 4*z**5 - 3*z**3 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/1 + (16 - 13). Let b = -6 + 10. Put b, x, -5 in descending order.\nAnswer: b, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1293230, 2586583, 3880062, 5173667, 6467398, 7761255?\nAnswer: 9055238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**2 - 8*c + 4. Let a(v) = v**2 - 1. Let o(m) = 3*a(m) - w(m). Let b(s) = s**3 - 2*s**2 - s. Let i be b(3). Calculate o(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/171)\/((-10)\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 13*m - 4*c = 6650, 8825 = 4*m + 3*c. Round m to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7311 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-2*1*4*-6)\/((sqrt(8) + sqrt(8)*-2)*-1 - sqrt(968)*2)*-2.\nAnswer: 32*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Let d be m + (-1)\/(1\/2). Let g(h) = -h**3 - h - 1. What are the prime factors of g(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337394476.\nAnswer: 2, 19, 4439401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193.04 - 191.54. Which is the nearest to -1\/2? (a) g (b) 0.1 (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**3 + h**2 + 3*h + 2. Let k(w) = w - 14. Let c be k(16). Suppose -5*s - 14 = 3*m, -c*m = -3*s + 1 + 2. Let r be l(s). Solve -x = -r*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 1a29314?\nAnswer: 1a29313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 76 in -21, 6, 0.3, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -12*i**5\/5 + 44*i**4 - 216*i**3 - 168*i**2 + 2548*i - 4116\/5 = 0?\nAnswer: -3, 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 46*d**2 - 2*d + 1. Let u be v(1). Let o(l) = -5*l**3 - 3*l**2 - 12*l - 10. Let k be o(-1). Suppose 0 = k*i - u - 123. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -47.99. Let a = -1.98 - 0.02. What is the smallest value in r, 0, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + (sqrt(72)\/sqrt(432))\/(-5*sqrt(98)))**2*-3.\nAnswer: -19601\/4900 - sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f + 24. Let k(c) be the third derivative of 7*c**4\/24 - 8*c**3\/3 + c**2. Let w(j) = 7*k(j) + 5*p(j). List the prime factors of w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14310 is divided by 523.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x**2 + 6. Suppose 34*v - 39*v = 25. Let l(z) = 7*z**2 + 5. Give v*y(n) + 6*l(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*f + 382*f + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 71188*v + 6966820.\nAnswer: (v - 71090)*(v - 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5767 - -2813. What is s rounded to the nearest one hundred?\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -20 + 4 + 7 + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 412*b + 1952. What are the prime factors of m(55)?\nAnswer: 2, 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g**2 + 47*g + 8. Let i be t(8). Solve -2 = -2*h, 3*b - 4*h - 2 + 21 = i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*p + 214 - 21, 0 = p - g - 61. What is the remainder when p is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.7 times -2.4\nAnswer: 8.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 11:38 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t - 17. Let v(z) = -17*z + 69. Let i = -556 - -565. Give i*p(h) + 2*v(h).\nAnswer: 2*h - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 8 = -z, -a - 2*z - 2 = -z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7.102743nm?\nAnswer: 0.0000007102743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/12488 - 46393\/112392. Find the common denominator of ((-26)\/(-52))\/((-30)\/82) and z.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2865470 - 4?\nAnswer: 2865465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**3 + 2 - o + 18*o**3 - 8*o**3 + 5*o in the form g*o**2 + r*o + s*o**3 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/3444654 or -1?\nAnswer: 11\/3444654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -20, -15, 2852, 1, 3 in decreasing order.\nAnswer: 2852, 3, 1, -3, -15, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffffrfffffrff.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, -147, -580, -1445, -2886?\n\"Answer: -24*g**3 + 23*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 2*y**2 + 3*y + 8. Give q(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 270.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290, 2500, 8618, 20636, 40546, 70340, 112010, 167548?\nAnswer: 238946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 360777 and -371109626.\nAnswer: -370748849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -25. What is the greatest common divisor of 9 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 779*p - 10756. Let o be s(14). What is the greatest common factor of o and 975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1706268 divided by -6\nAnswer: 284378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16*((-225)\/120 + 4\/2)*3. What is the nearest to 24 in 3, q, -2\/3, 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1071 times -5.36?\nAnswer: 5740.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 28*g**3 - 393*g**2 + 2007*g - 27892. What is t(14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*l = -49*d + 52*d - 160, -3*d = -4*l - 50 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7511*b - 4668*b + 95*b + 138*b.\nAnswer: -11946*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -147.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 888 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 15*d + 38, -2*i + 946*d - 943*d - 89 = 0 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3650189 * 32\nAnswer: 116806048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -4*a**3\/3 + a**2 - 58*a - 2736. Let x(r) = -2*r**2 + r - 29. What is -6*v(l) + 11*x(l)?\nAnswer: 2*l**2 - l + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -74202201 divided by 1?\nAnswer: -74202201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 89964 divided by -21\nAnswer: -4284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 - 145*c + 304. Calculate v(34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 6:42 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 870 + -865. Solve -12\/5*z**3 + 0 + 0*z - 8\/5*z**2 + 4\/5*z**x + 0*z**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4770*c**2 - 208*c. Let f(n) = 23*n. Calculate f(k(b)).\nAnswer: 109710*b**2 - 4784*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 875511609 to the power of 1\/3, to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4)*72\/27. What is the second derivative of 0*q + 3 - 25*q**m + 14*q - 3*q wrt q?\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -113*n + 25*n**2 + 55*n + 58*n. Let c(s) be the third derivative of -s**4\/8 + 2*s**2. Give k(c(a)).\nAnswer: 225*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3967 = 2140*n + 4593 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 719, 1653, 3001, 4787, 7035?\nAnswer: 9769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -307.000001265 - -307. What is x rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 47*v**2 + 58*v + 1. Let q(b) = 2*b**2 - b - 1. Let y(x) = 5*k(x) + 5*q(x). What is the second derivative of y(o) wrt o?\nAnswer: 490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 1\/1259398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 19. Suppose -2*z - v = -0*z, s - 18 = 5*z. Solve 0 = -k - s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 154*p**2\/3 + 43045*p\/3 + 7347.\nAnswer: (p + 279)*(154*p + 79)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 8*u + 45. Find the second derivative of -u + 1016*a + 2*a**2 - 1018*a + a**4 + 5*a**4 wrt a.\nAnswer: 72*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15701 - -15733. Let w(d) = 57*d**2 - 3*d + 2. Let l be w(2). Calculate the highest common divisor of l and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/8031 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-288)\/(108\/(-9))*3*1\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 + 4799*p**2\/4 - 6167339*p\/4 + 964998061\/4.\nAnswer: -(p - 2309)**2*(p - 181)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -12*f + 2*d + 238, 0 = f - 4*d + 226. Let p = f + 141. Is -92 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*n + 38*n + 49*n + 3*n + 0*n - 2*n + (0 + 0 + 2*n)*(-2 - 1 + 4).\nAnswer: 116*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 331801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*l + 42*l + 555 = 0. Solve -2*m + l = 39 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 4:14 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 divided by -11?\nAnswer: -95\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/7614 and 71\/53298.\nAnswer: 53298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.949 - -0.149. Let f = -15.7998995 - i. Round f to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r**2\/3 + 5236*r\/3 + 38720 = 0. Calculate r.\nAnswer: -176, -330\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -3.3, 1, 3 in descending order.\nAnswer: 102, 3, 1, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61082239.060998282 + 61082239. Let q = 0.061 + g. What is q rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 43.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15775*f + 15758*f - 170 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 30*k - 35*k + 85, 0 = -h - 4*k + 24. Let u be (-3)\/(-9)*(-336)\/(-4). Calculate the greatest common divisor of u and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**2\/d)**(-3\/14)\/(d**(-13))**(9\/4) assuming d is positive.\nAnswer: d**(807\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 66. Let i = -31.13 + a. Round i to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80985125?\nAnswer: 5, 13, 19, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -14\/19*p**4 - 16\/19*p**2 + 2*p**3 + 0 - 8\/19*p = 0. Calculate p.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 42 = 9*d. Suppose -2*p - d = -3*c, 2*p + 3 = -p - 5*c. Let w = 8 + p. Which is bigger: w or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -1\/2 (c) -1\/3 (d) 207\/2 (e) 2\/13 (f) -3 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 2*n**3\/3 - 1. Let t(j) be the first derivative of j**2\/2 + j + 20585. Calculate t(x(m)).\nAnswer: 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 89487684 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7740 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 51, 93, 163, 267, 411, 601?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, s: 3, b: 2, q: 6, v: 1}. What is prob of sequence qqv?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/p**3*p*p**(1\/10)\/p*p**(-8\/7)*p**(-1\/3)*p assuming p is positive.\nAnswer: p**(-289\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: a543 (base 14) to base 11\nAnswer: 1a440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (14 - (19 + -8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, y: 4, c: 9}. What is prob of picking 3 k?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-66)\/(-24))\/1*16\/88. Which is the nearest to -3\/5? (a) m (b) 1.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5533 and -1197?\nAnswer: 6623001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3204847.\nAnswer: 41, 78167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 133320 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 8*w**2 + 2*w - 11. Let h(m) = -m**3 + 12*m**2 + 10*m + 37. Let r be h(13). Let l(b) = -12*b - 16. Let j be l(r). Give i(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 14, -1.\nAnswer: -9, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 985\/2*((-36)\/(-10) - 2). Suppose -j - 20 = 4*j, -3*j + w = 4*s. Suppose -4*l + s = 4*x, 0*x = -4*l - 5*x + 200. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f + 48. Suppose 5*x + 16 = b, 14*b - 18*b - 3*x - 74 = 0. Is f smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 476481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -23. Suppose 0 = 5*h + 5*y - 10, h + h - 2*y - 12 = 0. What is the remainder when m is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j - 145. Let m(w) be the first derivative of 2*w**3\/3 - 1370. Give r(m(u)).\nAnswer: -4*u**2 - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.38*8770\nAnswer: -3332.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f**3 + 10*f**2 + f + 5. Let y(b) = 5*b**3 - 9*b**2 - 4. Let t(g) = 6*j(g) + 7*y(g). Let d = 3 + -28. Let l = -29 - d. Determine t(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*v = -0*t, -3*t - 3*v = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -789*m**3 - 4778*m**3 - 5196*m**3 - 866*m**3.\nAnswer: -11629*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0.5567?\nAnswer: 3.5567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1354 (b) 0.2 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(-3 + 1 + 1)*(-10*t + 30*t + 18*t)*(2*t**2 - t**2 - 3*t**2).\nAnswer: 152*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2529?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 9784 = 3028. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17789 + 17789.4. Which is the closest to 0.3? (a) -5 (b) 2 (c) -3.2 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a = 0. Suppose 0 = n - 2, 2*f + 3*n - 3 - 7 = a. Let k = -13\/12 - -3\/4. Which is bigger: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 192.925443 to the nearest integer.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003864 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}